ISSN 17295254
For
Issues (16), please contact the editor at: info[AT]ejtp.com.
Volume 2, Issue 7 (August 2005)
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Number

Articles Title

Abstract

1

Application of Coadjoint Orbits in the Thermodynamics of
NonCompact Manifolds.
V. V. Mikheyev; I. V.
Shirokov
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(197 KB)

Method
of the solution of the main problem of homogeneous spaces thermodynamics
for noncompact spaces in the case of noncompact Lie groups is presented
in the article. The method is based on the method of coadjoint orbits. The
formula that allows efficiently evaluate heat kernel on noncompact spaces
is obtained. The method is illustrated by nontrivial example.

2

The Boundary
Conditions Geometry in LatticeIsing Model
Yougang Feng
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(126 KB)

We
found that the differential topology of the latticesystem Ising model
determines whether there can be the continuous phase transition, The
geometric topology of the space the latticesystem is embedded in
determines whether the system can become ordered. If the system becomes
ordered it may not admit the continuous phase transition. The
spinprojection orientations are strongly influenced by the geometric
topology of the space the lattice system is embedded in.

3

Simulation of
Ginger EPR Spectra Obtained by XIrradiation: Quantum Approach
S. Laachir; M. Moussetad; R. Adhiri; A. Fahli; M.
Aboulfatah; M. Mikou
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(139 KB)

The
ginger sample has been exposed to Xrays at cumulative doses. The
foodstuffs irradiation is used in particular to improve their hygienic
qualities and increase their shelf lives. This process has been approved by
various international organizations: FAO  AIEA  WHO. In the present work, we
propose to reproduce by simulation, based on a quantum approach, of the ESR
(Electron Spin Resonance) spectra. The semiclassical approach is valid for
a simple system, but not for a complex system such as an atom with
hyperfine structure. In this case a quantum approach, based on spin
Hamiltonian, is essential to interpret the ESR spectra. The main result is
that the simulated spectra are in good agreement with the experimental ones
obtained before and after irradiation.

4

Quantum AdS^{1+3}
Black Holes with Effective Cosmological Constant
ElNabulsi Ahmad Rami
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(249 KB)

A
quantum AdS^{1+3} massive and massless black holes with effective
cosmological constant induced from nonminimal coupling and supergravities
arguments are constructed and discussed in details.

Volume 2, Issue 8 (December 2005)
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Articles Title

Abstract

1

Fractional Unstable Euclidean Universe.
ElNabulsi Ahmad Rami
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(174 KB)

Despite
common acceptance of Big Bang hypothesis among most cosmologists,
nonetheless there are criticisms from a small number of theorists partly
supported by astronomy observation suggesting that redshift data could not
always be attributed to cosmological expansion. In this paper, a new
approach to cosmology fractional calculus has been developed that we hope
will attract attention from astrophysicists and cosmologists because of the
way it challenges the conventional big bang framework.

2

Parametric
Relationships Among Some Phenomenological NonRelativistic Hadronic
Potentials
TeikCheng Lim
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(153 KB)

In
recent years, parametric relationships between interatomic potential energy
functions have been developed in the realm of molecular chemistry and
condensed matter physics. However, no parametric relationships have been
developed so far among intraatomic potentials. As an extension of previous
works into the realm of intraatomic potentials, we herein consider the
possibility that hadronic potentials can be interrelated via their
parameters. Hadronic potentials give quantitative description of interquark
energy in terms of interquark distance, hence understanding how each
potential function influences the theoretical modeling can be sought via
knowledge of interrelationship amongst the potentials parameters.
Phenomenological nonrelativistic hadronic potentials are related amongst
the mixedpowerlaw potential themselves, and with the Logarithmic
potentials using calculus. Exact nonlinear relationships were obtained
between the parameters whereby the interquark distance is included as one
of the variables. It is also demonstrated that, when the interquark
distance in the parametric relationships is assigned a fixed value of
unity, the parametric relationships remain valid from the plotted potential
energy curves..

3

Non Linear
Assessment of Musical Consonance
SLluis Lligo˜na Trulla, Alessandro Giuliani,
Giovanna Zimatore, Alfredo Colosimo and Joseph P. Zbilut
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(326 KB)

The
position of intervals and the degree of musical consonance can be
objectively explained by temporal series formed by mixing two pure sounds
covering an octave. This result is achieved by means of Recurrence
Quantification Analysis (RQA) without considering neither overtones nor
physiological hypotheses. The obtained prediction of a consonance can be
considered a novel solution to Galileo's conjecture on the nature of
consonance. It constitutes an objective link between musical performance
and listeners hearing activity..

4

Conditions
for the Generation of Causal Paradoxes from Superluminal Signals
Giuseppe Russo
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We
introduce a simple method to illustrate how the Lorentz transformation lead
to causal loop paradoxes when they are applied to superluminal velocities.

Volume 3, Issue 9 (February 2006)
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Number

Articles Title

Abstract

1

Spinning of Particles in SchwarzschilddeSitter and
SchwarzschildAntideSitter SpaceTimes with `Effective Cosmological
Constant'.
ElNabulsi Ahmad Rami
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(132 KB)

Spinning
of particles in SdS and SAdS spacetimes with effective cosmological
constant is discussed in details. It is shown that the equilibrium
conditions are independent of the spin of the test particles and are
satisfied only for particular conditions relating the Einstein's
cosmological constant with the ultralight masses implemented in the theory
from supergravities arguments and nonminimal coupling.

2

How SS' di Quark
Pairs Signify an Einstein Constant Dominated Cosmology, and Lead to New
Inflationary Cosmology Physics
A. W. Beckwith
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(335 KB)

We
review the results of a model of how nucleation of a new universe occurs,
assuming a di quark identification for solitonanti soliton constituent
parts of a scalar field. Initially, we employ a false vacuum potential
system; however, when cosmological expansion is dominated by the Einstein
cosmological constant at the end of chaotic inflation, the initial di quark
scalar field is not consistent w.r.t a semi classical consistency condition
we analyze as the potential changes to the chaotic inflationary potential
utilized by Guth. We use Scherrer's derivation of a sound speed being zero
during initial inflationary cosmology, and obtain a sound speed approaching
unity ~as the slope of the scalar field moves away from a thin wall
approximation. All this is to aid in a data reconstruction problem of how
to account for the initial origins of CMB due to dark matter since
effective field theories as presently constructed require a cut off value
for applicability of their potential structure. This is often at the cost
of, especially in early universe theoretical models, of clearly defined
baryogenesis, and of a well defined mechanism of phase transitions.

3

Vectorial Lorentz
Transformations
Jorge A. Franco R.
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(403 KB)

We
have noticed in relativistic literature that the derivation of Lorentz
Transformations (LT) usually is presented by confining the moving system O'
to move along the Xaxis, namely, as a particular case of a more general
movement. When this movement is generalized different transformations are
obtained (which is a contradiction by itself) and a hidden vectorial
characteristic of time is revealed. LT have been generalized in order to
solve some physical and mathematical inconsistencies, such as the
dissimilar manners (transversal, longitudinal) the particle's shape is
influenced by its velocity and LT's inconsistency with Maxwell equations
when in its derivation the pulse of light is sent perpendicular to the
displacement of the moving system O'. Unlike the canonical derivation of
LT, in the undertaken development of the generalized LT, assumptions were
not used. Practical applications of generalized Vectorial Lorentz
Transformations (VLT) were undertaken and as outcome a new definition of
Local Lorentz Transformations (LLT) of magnitudes appeared. As another
consequence, a characteristic and unique scaling Lorentz factor was
obtained for each magnitude Given this, a dimensional analysis based upon
these Lorentz factors came up. In addition, dynamical transformations were
obtained and a new definition of mass was found.

4

Lattice Dynamics of
Hydrogen Interstice Co_{0.92}Fe_{0.08}
C. Kalai Arasi, R. John Bosco Balaguru, S. Alfred Cecil
Raj, and N. Lawrence
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Lattice
dynamics of hydrogen interstice in the binary alloy Co_{0.92} Fe _{0.08}
has been carried out to calculate the phonon dispersions along the [100],
[110], [111] directions. The phonon density of states, variation of
specific heat capacity and Debye's temperature with temperature are also
calculated. A reasonably good agreement is found between the calculated and
other theoretical and experimental results. The mean square displacement
(MSD) of atoms surrounding the interstitial hydrogen atom is reported along
with the defect modes.

5

Petrov
classification of the conformal tensor
M. A. Acevedo M., M. EncisoAguilar, and J. LopezBonilla
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We
exhibit a flux diagram in its tensorial and NewmanPenrose representations
for the Petrov classification.

6

On Inflation
Potentials in RandallSundrum Braneworld Model
M.Bennai, H.Chakir, and Z.Sakhi
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We
study the inflationary dynamics of the universe in the RandallSandrum
typeII Braneworld model. We consider both an inversepower law and
exponential potentials and apply the SlowRoll approximation in high energy
limit to derive analytical expression of relevant inflationary quantities.
An upper bound for the coupling constant was also obtained and a numerical
value of perturbation spectrum is calculated in good agreement with
observation.

7

Considerations
About The Anomalous Efficiency Of Particular Thermodynamic Cycles
Leonardo Chiatti
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Some
years ago Vignati (refs. 1, 2, 3) showed that, under some particular
circumstances (inter alia isobaric processes connected through internal
heat exchangers), the efficiency of an Ericsson cycle involving a real gas
can exceed the Carnot limit \eta_{C} , in contradiction with the second
principle of thermodynamics. However, the convergence of Vignati's algorithm,
giving the temperature difference between the intermediate heat exchangers,
has not yet been proved. In particular, it isn't clear, if the number of
intermediate heat exchangers infinitely increases, the condition of a total
(perfect) heat recovery may be asymptotically approximated. This remark is
relevant because the claimed anomalous efficiencies appear only in the
limit of a perfect heat recovery. Considering a suitable counterexample, we
prove that, in general, the residual heat discharged on the external
sources does not vanish in that limit, even when the isobars exchange the
same amount of heat. Therefore the violation of the second law inferred
from Vignati's calculation is merely apparent, being referred to a
situation which is not (in principle) physically realisable. The essentials
of the Vignati's argument are then applied to an Ericsson cycle involving
an ideal gas undergoing chemical reactions. Again, no contradiction arises
with the second principle.

Volume 3, Issue 10 (April 2006), Majorana Issue (Editor:
Ignazio Licata)
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Articles Title

Abstract


Majorana Imoact on Contemporary Physics
Ignazio
Licata
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Editorial
Note

1

The Scientific Work Of Ettore Majorana: An Introduction
Erasmo Recami
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(113 KB)

A
Brief bibliography of the scientific work of Ettore Majorana has been
discussed.

2

On the Hamiltonian
Form of Generalized Dirac Equation for Fermions with Two Mass States
Sergey. I. Kruglov
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Dynamical
and nondynamical components of the 20component wave function are
separated in the generalized Dirac equation of the first order, describing
fermions with spin 1/2 and two mass states. After the exclusion of the
nondynamical components, we obtain the Hamiltonian Form of equations.
Minimal and nonminimal electromagnetic interactions of particles are
considered here.

3

Majorana Equation
and exotics: Higher Derivative Models, Anyons and Noncommutative Geometry
Mikhail S. Plyushchay
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(199 KB)

In
1932 Ettore Majorana proposed an infinitecomponent relativistic wave
equation for particles of arbitrary integer and halfinteger spin. In the
late 80s and early 90s it was found that the higherderivative geometric
particle models underlie the Majorana equation, and that its
(2+1)dimensional analogue provides with a natural basis for the
description of relativistic anyons. We review these aspects and discuss the
relationship of the equation to the exotic planar Galilei symmetry and
noncommutative geometry. We also point out the relation of some Abelian
gauge field theories with ChernSimons terms to the Landau problem in the
noncommutative plane from the perspective of the Majorana equation.

4

Wave Equations,
Renormalization and Meaning of the Planck's Mass: Some Qualitative
Considerations
Leonardo Chiatti
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(131 KB)

The fivedimensional
version of the quantum relativistic KleinGordon wave equation is assumed
to be a more fundamental description for the dynamics of the single
particle without spin. The meaning of the renormalization procedure in QFT
and the Planck's mass one are briefly discussed from this point of view.

5

Nonlinear Field
Equations and Solitons as Particles
Attilio Maccari
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(346 KB)

Profound
advances have recently interested nonlinear field theories and their exact
or approximate solutions. We review the last results and point out some
important unresolved questions. It is well known that quantum field
theories are based upon Fourier series and the identification of plane
waves with free particles. On the contrary, nonlinear field theories admit
the existence of coherent solutions (dromions, solitons and so on).
Moreover, one can construct lower dimensional chaotic patterns,
periodicchaotic patterns, chaotic soliton and dromion patterns. In a
similar way, fractal dromion and lump patterns as well as stochastic
fractal excitations can appear in the solution. We discuss in some detail a
nonlinear Dirac field and a spontaneous symmetry breaking model that are
reduced by means of the asymptotic perturbation method to a system of
nonlinear evolution equations integrable via an appropriate change of
variables. Their coherent, chaotic and fractal solutions are examined in
some detail. Finally, we consider the possible identification of some types
of coherent solutions with extended particles along the de BroglieBohm
theory. However, the last findings suggest an inadequacy of the particle
concept that appears only as a particular case of nonlinear field theories
excitations.

6

The Quantum
Character of Physical Fields.
Foundations of
Field Theories
Ludmila. I. Petrova
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(161 KB)

The
existing field theories are based on the properties of closed exterior
forms, which are invariant ones and correspond to conservation laws for
physical fields. Hence, to understand the foundations of field theories and
their unity, one has to know how such closed exterior forms are obtained.
In the present paper it is shown that closed exterior forms corresponding
to field theories are obtained from the equations modeling conservation
(balance) laws for material media. It has been developed the evolutionary
method that enables one to describe the process of obtaining closed
exterior forms. The process of obtaining closed exterior forms discloses
the mechanism of evolutionary processes in material media and shows that
material media generate, discretely, the physical structures, from which
the physical fields are formed. This justifies the quantum character of field
theories. On the other hand, this process demonstrates the connection
between field theories and the equations for material media and points to
the fact that the foundations of field theories must be conditioned by the
properties of material media. It is shown that the external and internal
symmetries of field theories are conditioned by the degrees of freedom of
material media. The classification parameter of physical fields and
interactions, that is, the parameter of the unified field theory, is connected
with the number of noncommutative balance conservation laws for material
media.

7

Relativistic
Causality and
Quasi
Orthomodular Algebras
Renato.Nobili
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(218 KB)

The concept of
fractionability or decomposability in parts of a physical system has its
mathematical counterpart in the latticetheoretic concept of
orthomodularity. Systems with a finite number of degrees of freedom can be
decomposed in different ways, corresponding to different groupings of the
degrees of freedom. The orthomodular structure of these simple systems is
trivially manifest. The problem then arises as to whether the same property
is shared by physical systems with an infinite number of degrees of
freedom, in particular by the quantum relativistic ones. The latter case
was approached several years ago by Haag and Schroer (1962; Haag, 1992) who
started from noting that the causally complete sets of Minkowski spacetime
form an orthomodular lattice and posed the question of whether the
subalgebras of local observables, with topological supports on such
subsets, form themselves a corresponding orthomodular lattice. Were it so,
the way would be paved to interpreting spacetime as an intrinsic property
of a local quantum field algebra. Surprisingly enough, however, the hoped
property does not hold for local algebras of free fields with superselection
rules. The possibility seems to be instead open if the local currents that
govern the superselection rules are driven by gauge fields. Thus, in the
framework of local quantum physics, the request for algebraic
orthomodularity seems to imply physical interactions! Despite its charm,
however, such a request appears plagued by ambiguities and criticities that
make of it an illposed problem. The proposers themselves, indeed,
concluded that the orthomodular correspondence hypothesis is too strong for
having a chance of being practicable. Thus, neither the idea was taken
seriously by the proposers nor further investigated by others up to a
reasonable degree of clarification. This paper is an attempt to
reformulate and wellpose the problem. It will be shown that the idea is
viable provided that the algebra of local observables: (1) is considered
all over the whole range of its irreducible representations; (2) is widened
with the addition of the elements of a suitable intertwining group of automorphisms;
(3) the orthomodular correspondence requirement is modified to an extent
sufficient to impart a natural topological structure to the intertwined
algebra of observables so obtained. A novel scenario then emerges in which
local quantum physics appears to provide a general framework for
nonperturbative quantum field dynamics.

8

Lorentz Invariant
Majorana Formulation of Electrodynamics in the Clifford Algebra Formalism
Tomislav Ivezic
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(143 KB)

In
this paper we present a new geometric formulation (Clifford algebra
formalism) of the field equations, which is independent of the reference
frame and of the chosen system of coordinates in it. This formulation deals
with the complex 1vector \Psi =EicB (i is the unit imaginary), which is
fourdimensional (4D) geometric generalization of Majorana's complex 3D
quantity \Psi }=EicB. When the sources are absent the field equations with
the complex \Psi become Diraclike relativistic wave equations for the free
photon. In the frame of ``fiducial'' observers (the observers who measure
fields are at rest) and in the standard basis the component form of the
field equations with 4D \Psi reproduces the component form of
MajoranaMaxwell equations with 3D field \Psi . The important differences
between the approach with the 4D \Psi and that one with the 3D \Psi are
discussed.

9

"
Anticoherent " Spin States via
the Majorana Representation
Jason Zimba
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(400 KB)

In
this article we define and exhibit '' anticoherent" spin states, which
are in a sense '' the opposite" of the familiar coherent spin states.
Since the familiar coherent states are as "classical" as spin
states can be, the anticoherent states may turn out to be better candidates
for applications involving nonclassical behaviors such as quantum
entanglement. Thanks to the Majorana representation of spinors as 2stuples
of points on the Riemann sphere, classes of anticoherent states are easy to
find; the development of such examples also leads us into some curious geometry
involving the perfect solids.

10

Stretching the
Electron as Far as it Will Go
G. W. Semenoff and P. Sodano
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(287 KB)

Effects
associated with the existence of isolated zero modes of Majorana fermions
are discussed. It is argued that the quantization of this system
necessarily contains highly extended quantum states and that populating and
depopulating such states by interacting with the quantum system leads to
longranged teleportationlike processes. Also leads to spontaneous
violation of fermion parity symmetry. A quasirealistic model consisting of
a quantum wire embedded in a pwave superconductor is discussed as an explicit
example of a physical system with an isolated Majorana zero mode.

11

Why do Majorana
Neutrinos Run Faster than Dirac Neutrinos?
Zhizhong Xing and He Zhang
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(380 KB)

The
\taulepton dominance in the oneloop renormalizationgroup equations
(RGEs) of neutrinos sets a cute criterion to parametrize the 3x3 lepton
flavor mixing matrix U: its elements U_{3i} (for i=1,2,3) should be as
simple as possible. Such a novel parametrization is different from the
``standard" one used in the literature and can lead to greatly
simplified RGEs for three mixing angles and the physical CPviolating
phase(s), no matter whether neutrinos are Dirac or Majorana particles. We
show that the RGEs of Dirac neutrinos are not identical with those of
Majorana neutrinos even if two Majorana CPviolating phases vanish. As the
latter can keep vanishing from the electroweak scale to the typical seesaw
scale, it makes sense to explore the similarities and differences between
the RGE running effects of Dirac and Majorana neutrinos. We conclude that
Majorana neutrinos are in general expected to run faster (i.e., more
significantly) than Dirac neutrinos.

12

Universe Without Singularities
A Group Approach to De Sitter Cosmology
Ignazio Licata
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(162 KB)

In
the last years the traditional scenario of ``Big Bang'' has been deeply
modified by the study of the quantum features of the Universe evolution,
proposing again the problem of using ``local'' physical laws on cosmic
scale, with particular regard to the cosmological constant role. The
``group extention'' method shows that the De Sitter group univocally
generalizes the Poincaré group,
formally justifies the cosmological constant use and suggests a new
interpretation for HartleHawking boundary conditions in Quantum Cosmology.

13

Majorana and the
Investigation of Infrared Spectra of Ammonia
Elisabetta. Di Grezia
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(169 KB)

An
account is given on the first studies on the physics of ammonia, focusing
on the infrared spectra of that molecule. Relevant contributions from
several authors, in the years until 1932, are pointed out, discussing also
an unknown study by E.Majorana on this topic.

14

Exact Solution of
Majorana Equation via Heaviside Operational Ansatz
Valentino A. Simpao
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(215 KB)

In
context of a transformation between Majorana and Dirac wavefunctions, it
suffices to solve the related interactive Dirac problem and then apply the
transformation of variables on the Dirac wavefunction in order to obtain
the Majorana wavefunction of the given Majorana equation. Clearly, this
connection between solutions continues to hold if the free Majorana and
Dirac equations are each coupled to an external gauge field [e.g.,
Electromagnetism] via the minimum coupling prescription. Applying the
formal solution scheme Heaviside Operational Ansatz[heretofore, HOA] put
forward in [ EJTP 1 (2004), 1016], provides an exact quadrature solution
for the massive minimumcoupled Majorana equation in terms of the solution
of the corresponding massive minimumcoupled Dirac equation.

15

A Logical Analysis
of Majorana’s Papers on Theoretical Physics
A. Drago and S. Esposito
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(161 KB)

We
study two celebrated Majorana's papers through a method of investigation
which relies upon the recently recognized distinction between classical
logic and several kinds of nonclassical logics, i.e. the failure of the
double negation law. This law fails when a double negated sentence is not
equivalent to the corresponding positive sentence, owing to the lack of
scientific evidence of the latter one. All recognized double negated
sentences inside the text of each paper are listed; the mere sequence of
such sentences giving the logical thread of Majorana's arguing. This one is
recognized to be of the Lagrangian kind, which mixes logical arguing and
mathematical calculation; i.e. the author puts a fundamental problem which
is solved by anticipating the mathematical hypothesis able to solve it, and
then by drawing from this hypothesis the mathematical consequences in order
to reach to desired result. Furthermore the rethoric of presentation used
by Majorana results to be a juridical one, owing to his style of presenting
the laws to which an ideal theoretical physicist has to conform his mind in
order to solve the problem at issue.

16

Four Variations on
Theoretical Physics by Ettore Majorana
Salvatore. Esposito
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(219 KB)

An
account is given of some topical unpublished work by Ettore Majorana,
revealing his very deep intuitions and skillfulness in Theoretical Physics.
The relevance of the quite unknown results obtained by him is pointed out
as well.

17

The Majorana
Oscillator
Eliano Pessa
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(124 KB)

At
present the expression ‘Majorana oscillator’ does not appear to
be in use in theoretical physics. However, the author of this paper heard
it in the Seventies, during private conversations with the late Prof.
B.Touschek. This little contribution tries to explore the possible meanings
of this expression and introduces a new field equation, generalizing the
one already introduced by Majorana himself, which could describe a
hypothetical ‘Majorana oscillator’.

18

Scattering of an
\alpha Particle by a Radioactive Nucleus
Unpublished 1928
Ettore Majorana
Full text: Acrobat PDF
(166 KB)

In
the following we reproduce, translated into English, a section of Volumetto
II, a notebook written by Majorana in 1928 when he was still a Physics
student at the University of Rome (see S. Esposito, E. Majorana jr, A. van
der Merwe and E. Recami (eds.) Ettore Majorana: Notes on Theoretical
Physics, Kluwer, New York, 2003). This study was performed by the author
when he was preparing his Thesis work on ``The Quantum Theory of
Radioactive Nuclei'' (unpublished),
whose supervisor was E. Fermi.
S.
Esposito

19

Comments on a Paper
by Majorana Concerning Elementary Particles
David. M. Fradkin
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(145 KB)

An
early paper (1932) by Majorana, that has received but scant attention, is
reexamined in light of later developments. This pioneering paper constructs
a relativistically invariant theory of arbitrary spin particles, develops
and utilizes infinite dimensional representations of the homogeneous
Lorentz group, and provides a mass spectrum for elementary particles. The
relevance of Majorana’s approach and results to later and current
research is explained.
Reprinted with permission from the
AMERICAN JOURNAL OF PHYSICS, Volume 34, Issue 4, pp. 314318. Copyright
1966, American Association of Physics Teachers
We
reproduce here the historical D. M. Fradkin 1966 paper whose role among the
physicists of high energy was decisive; since then espressions like
"Majorana mass", "Majorana spinors" and "Majorana
neutrino" have become usual. The paper is based upon the work Teoria
di Particelle con Momento Intrinseco Arbitrario, translated by Italiam from
Edoardo Amaldi.
Ignazio
Licata

Volume 3, Issue 11 (June 2006)
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(2,349 KB)
Number

Articles Title

Abstract

1

NonMinimal Coupling Effects of the UltraLight Particles on
Photons Velocities in the Radiation Dominated Era of the Universe.
ElNabulsi Ahmad Rami
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(179 KB)

The
effect of the ultralight masses of the order of the Hubble constant,
implemented in Einstein's field equations from nonminimal coupling and
supergravities arguments, on photons velocities in the radiation dominated
epoch of the Universe within the framework of nonminimal interaction of
electromagnetic fields with gravity is developed and discussed in details.

2

A Toy Model of
Financial Markets
J. P. Singh and S. Prabakaran
Full text: Acrobat PDF
(217 KB)

Several
techniques of fundamental physics like quantum mechanics, field theory and
related tools of noncommutative probability, gauge theory, path integral
etc. are being applied for pricing of contemporary financial products and
for explaining various phenomena of financial markets like stock price
patterns, critical crashes etc.. In this paper, we apply the well
entrenched methods of quantum mechanics and quantum field theory to the
modeling of the financial markets and the behavior of stock prices. After
defining the various constituents of the model including creation &
annihilation operators and buying & selling operators for securities,
we examine the time evolution of the financial markets and obtain the
Hamiltonian for the trading activities of the market. We finally obtain the
probability distribution of stock prices in terms of the propagators of the
evolution equations.

3

Rayleigh process
and matrix elements for the onedimensional harmonic oscillator
J.H. Caltenco, J.L. LópezBonilla, and J. Morales
Full text: Acrobat PDF
(119 KB)

We
show that, the matrix elements <{e^{\gamma[x]}n> for the
onedimensional harmonic oscillator have application in Markov process
theory, permitting thus to resolve the FokkerPlanck equation for the
twodimensional probability density corresponding to Rayleigh case.

4

Identical
synchronization in chaotic jerk dynamical systems
Vinod Patidar and K. K. Sud
Full text: Acrobat PDF
(942 KB)

It
has been recently investigated that the jerk dynamical systems are the
simplest ever systems, which possess variety of dynamical behaviors
including chaotic motion. Interestingly, the jerk dynamical systems also
describe various phenomena in physics and engineering such as electrical
circuits, mechanical oscillators, laser physics, solar wind driven
magnetosphere ionosphere (WINDMI) model, damped harmonic oscillator driven
by nonlinear memory term, biological systems etc. In many practical
situations chaos is undesirable phenomenon, which may lead to irregular
operations in physical systems. Thus from a practical point of view, one would
like to convert chaotic solutions into periodic limit cycle or fixed point
solutions. On the other hand, there has been growing interest to use chaos
profitably by synchronizing chaotic systems due to its potential
applications in secure communication. In this paper, we have made a
thorough investigation of synchronization of identical chaotic jerk
dynamical systems by implementing three wellknown techniques: (i)
PecoraCarroll (PC) technique, (ii) Feedback (FB) technique and (iii)
Active Passive decomposition (APD). We have given a detailed review of
these techniques followed by the results of our investigations of identical
synchronization of chaos in jerk dynamical systems. The stability of
identical synchronization in all the aforesaid methods has also been
discussed through the transversal stability analysis. Our extensive
numerical calculation results reveal that in PC and FB techniques the
xdrive configuration is able to produce the stable identical
synchronization in all the chaotic jerk dynamical systems considered by us
(except for a few cases), however ydrive and zdrive configurations do not
lead to the stable identical synchronization. For the APD approach, we have
suggested a generalized active passive decomposition, which leads to the stable
identical synchronization without being bothered about the specific form of
the jerk dynamical system. Several other active passive decompositions have
also been listed with their corresponding conditional Lyapunov exponents to
achieve the stable identical synchronization in various chaotic jerk
dynamical systems.

5

Second Order
Perturbation of Heisenberg Hamiltonian for NonOriented UltraThin
Ferromagnetic Films
P. Samarasekara
Full text: Acrobat PDF
(210 KB)

The
second order perturbation of magnetic energy for ferromagnetic thin films
of two and three layers has been studied using classical Heisenberg
Hamiltonian. According to our model, the film with two layers is equivalent
to an oriented film, when anisotropy constants do not vary inside the film.
But the energy of films with three layers indicates periodic variation.
Introducing second order perturbation induces some sudden overshooting of
energy curves, compared with smooth energy curves obtained for oriented
ferromagnetic ultra thin films in one of our previous report. After taking
the fourth order anisotropy into account, the overshooting part dominates
by reducing the smooth part of energy graphs. Several minimums can be
observed in last 3D graph implying that the film with N=3 can be oriented
in some preferred directions by applying a certain value of stress. The
shape of graphs of energy variation of all sc(001), fcc(001) and bcc(001)
ferromagnetic ultra thin films with second (or fourth) order anisotropy is
exactly same. Easy and hard directions of these all types with the effect
of second order anisotropy only are 34.4^{0} and 124.4^{0}, respectively.
The angle between easy and hard directions is exactly 90^{0} as expected.
Although these simulations were given for J/omega =10, D_m^{(2)}/omega =10,
K_s /omega =10 and D_m ^{(4)}/omega =5 values only, this same approach can
be carried out for any values of J/omega , D_m ^{(2)}/omega ,K_s /omega and
D_m ^{(4)}/ omega or any type of ferromagnetic material. Considering the
other terms such as dipole interaction and demagnetization factor really
complicates the simulation.

6

Frameable Processes
with Stochastic Dynamics
Enrico Capobianco
Full text: Acrobat PDF
(1,691 KB)

A
crucial goal in many experimental fields and applications is achieving
sparse signal approximations for the unknown signals or functions under
investigation. This fact allows to deal with few significant structures for
reconstructing signals from noisy measurements or recovering functions from
indirect observations. We describe and implement approximation and
smoothing procedures for volatility processes that can be represented by
frames, particularly wavelet frames, and pursue these goals by using
dictionaries of functions with adaptive degree of approximation power.
Volatility is unobservable and underlying the realizations of stochastic
processes that are noni.i.d., covariance nonstationary, selfsimilar and
nonGaussian; thus, its features result successfully detected and its
dynamics well approximated only in limited time ranges and for clusters of
bounded variability. Both jumps and switching regimes are usually observed
though, suggesting that either oversmoothing or devolatilization may
easily occur when using standard and nonadaptive volatility models. Our
methodological proposal combines waveletbased frame decompositions with
blind source separation techniques, and uses greedy denoisers and feature
learners.

7

Abinitio
Calculations for Forbidden M1/E2 Decay Rates in Ti XIX ion
A. Farrag
Full text: Acrobat PDF
(158 KB)

The
rates of the electric quadrupole E2 and magnetic dipole M1 forbidden
transitions in the ground configuration and some excited configurations of
the Ti XIX ion have been calculated. The multiconfiguration Hartree  Fock
(MCHF) method has been used. The relativistic corrections are included in
the BreitPauli approximation. A detailed comparison of the present
theoretical results with previous calculations and the available data in
literature is presented.

8

Some Properties of
Generalized Hypergeometric Thermal Coherent States
Dusan Popov
Full text: Acrobat PDF
(163 KB)

The
generalized hypergeometric coherent states (GHCSs) have been introduced by
Appl and Schiller [1] In the present paper we have extended some
considerations about GHCSs to the mixed (thermal) states and applied,
particularly, to the case of pseudoharmonic oscillator (PHO). The Husimi's
Q distribution function and the diagonal P  distribution function, in the
GHCSs representation, have been deduced for these mixed states. The
obtained distribution functions were used to calculate thermal averages and
to examine some nonclassical properties of the generalized hypergeometric
thermal coherent states (GHTCSs), particularly for the PHO. We have also
defined and calculated the thermal analogue of the Mandel parameter and the
thermal analogue of the secondorder correlation function. By
particularizing the parameters p and q of the hypergeometric functions, we
recover the usual BarutGirardello coherent states and their main
properties for the PHO from our previous paper [9] All calculations are
performed in terms of the Meijer's Gfunctions [2], which are related to
the hypergeometric functions. This manner provides an elegance and
uniformity of the obtained results and so the GHCSs become a new field of
application for these functions. Moreover, this mathematical approach can
be used also for other kind of coherent states (e.g. KlauderPerelomov,
GazeauKlauder or nonlinear coherent states ([10] [12]).

9

SpaceFilling
Curves for Quantum Control Parameters
Fariel Shafee
Full text: Acrobat PDF
(143 KB)

We
consider the use of spacefilling curves (SFC) in scanning control
parameters for quantum chemical systems. First we show that a formally
exact SFC must be singular in the control parameters, but a finite discrete
generalization can be used with no problem. We then make general
observations about the relevance of SFCs in preference to linear scans of
the parameters. Finally we present a simple magnetic field example relevant
in NMR and show from the calculated autocorrelations that a SFC
PeanoHilbert curve gives a smoother sequence than a linear scan.

10

The Spectrum of the
Lagrange Velocity Autocorrelation Function in Confined Anisotropic Liquids
Sakhnenko Elena I and Zatovsky Alexander V.
Full text: Acrobat PDF
(169 KB)

The
results of our further analysis of the thermal hydrodynamic fluctuations in
an anisotropic liquid under heterogeneous conditions are represented. The
heterogeneity is modeled in the form of a planeparallel layer, the liquid
is considered is taken to be incompressible, and the rapid processes of the
angular momentum relaxation to equilibrium are ignored. The extended system
of hydrodynamics equations is linearized for small deviations from the
equilibrium values. For the case of spontaneous fluctuation fields being
present in the system of equations for the velocity and inertia tensor
components, the boundary problem solution is found in the form of an
expansion in the harmonic functions. The spectral densities of the
fluctuation correlation functions are obtained by using the fluctuation
dissipation theorem (FDT). A special attention is paid to the correlation
functions (CFs) for the velocity field in the anisotropic liquid. The
spectrum of the Lagrange velocity autocorrelation function (LVACF) and the
collective part of the selfdiffusion coefficient of the molecules are
determined as functions of the coordinate normal to the confining planes.

11

On the Quantum
Correction of Black Hole Thermodynamics
Kourosh Nozari and S. Hamid Mehdipour
Full text: Acrobat PDF
(139 KB)

BekensteinHawking
Black hole thermodynamics should be corrected to incorporate quantum
gravitational effects. Generalized Uncertainty Principle (GUP) provides a
perturbational framework to perform such modifications. In this paper we
consider the most general form of GUP to find black holes thermodynamics in
microcanonical ensemble. Our calculation shows that there is no logarithmic
prefactor in perturbational expansion of entropy. This feature will solve
part of controversies in literatures regarding existence or vanishing of
this prefactor.

12

A Graphic
Representation of States for Quantum Copying
Sara Felloni and Giuliano Strini
Full text: Acrobat PDF
(1,157 KB)

The
aim of this paper is to introduce a new graphic representation of quantum
states by means of a specific application: the analysis of two models of
quantum copying machines. The graphic representation by diagrams of states
offers a clear and detailed visualization of quantum information's flow
during the unitary evolution of not too complex systems. The diagrams of
states are exponentially more complex in respect to the standard
representation and this clearly illustrates the discrepancy of
computational power between quantum and classical systems. After a brief
introductive exposure of the general theory, we present a constructive
procedure to illustrate the new representation by means of concrete
examples. Elementary diagrams of states for singlequbit and twoqubit
systems and a simple scheme to represent entangled states are presented.
Quantum copying machines as imperfect cloners of quantum states are
introduced and the quantum copying machines of Griffiths and Niu and of
Buzek and Hillery are analyzed, determining quantum circuits of easier
interpretation. The method has indeed shown itself to be extremely
successful for the representation of the involved quantum operations and it
has allowed to point out the characteristic aspects of the quantum
computations examined.

Volume 3, Issue 12 (September 2006)
Full text: Acrobat PDF
(1,201 KB)
Number

Articles Title

Abstract

1

Duality and a Renormalization Scheme for Einsteinian Gravity as a
Fix Point Within a Gravitational Gauge Framework
Eckehard W. Mielke
Full text: Acrobat PDF
(222 KB)

A
general scheme for a field redefinition (FR) of the coframe and the
connection is developed. Within a Yang—Mills type gauge dynamics of
gravity, configurations with double dual curvature induced by a \thetatype
ChernSimons terms as generating function reside on an effective
Einsteinian background. The effect of the FR on the renormalization and the
relation of gravity to effective string models is studied. One encounters a
duality of weak and strong couplings of Einsteinian and renormalizable
YangMills type gravity as well as an induced cosmological constant of the
Antide Sitter space.

2

HighDimensional
Dynamics in the Delayed Hénon Map
J. C. Sprott
Full text: Acrobat PDF
(335 KB)

A
variant of the Hénon map is described in which the linear term is
replaced by one that involves a much earlier iterate of the map. By varying
the time delay, this map can be used to explore the transition from
lowdimensional to highdimensional dynamics in a chaotic system with
minimal algebraic complexity, including a detailed comparison of the
KaplanYorke and correlation dimensions. The highdimensional limit
exhibits universal features that may characterize a wide range of complex
systems including the spawning of multiple coexisting attractors near the
onset of chaos.

3

Modified MoyalWeyl
Star product in a Curved Non Commutative spacetime
N.Mebarki,F.Khallili , M.Boussahel, and M.Haouchine
Full text: Acrobat PDF
(135 KB)

To
generate gravitational terms in a curved noncommutative spacetime, new
MoyalWeyl star product as well as Weyl ordering are defined. As an
example, a complex scalar mass term action is considered.

4

Light Scattering
Studies on the Orientational Behavior of Macromolecular Solutions in a
Shear Flow
J.A. Kupriyanova and A.V. Zatovsky
Full text: Acrobat PDF
(163 KB)

Theoretical
investigation of Rayleigh light scattering by a suspension of anisotropic
ellipsoidal particles subjected to a shear flow is carried out. Some
properties of the suspension of such particles caused by Brownian rotation
of these particles are studied. It is shown that the action of a shear flow
induces deformations in the shape of scattering line and results into the
nonmonotonic frequency dependence of depolarized scattering spectral lines
with additional local maxima in the spectra.

5

Gödel’s
s Geometry: Embedding and Lanczos Spintensor
R. GarcíaOlivo, J. LópezBonilla, S.
VidalBeltrán, SEPIESIMEZacatenco
Full text: Acrobat PDF
(118 KB)

We
exhibit an open problem: To investigate if the Gödel's metric accepts
local and isometric embedding into E_6. Besides, we show that in this
metric there is a symmetric tensor which generates algebraically to Riemann
tensor and differentially to Weyl tensor.

6

Thermopower of The
Quantum Point Contacts Under the Effects of Boundary Roughness
Attia A. Awad Alla
Full text: Acrobat PDF
(159 KB)

In
this paper we, study the influence of scattering by boundary roughness on
electron transport through quantum point contact. It is found that the
thermo power of rough quantum point contact shows random and rapid
fluctuations and strong with variable the Fermi energy and electrochemical
potential. The thermoelectric efficiency as function of electrochemical
potential and the oscillations are periodic and even in the electrochemical
potential. These results agree with existing experiments and can be used as
a guideline for the evaluation of the fabrication process of quantum point
contact.

7

Matrix Theory and
the Modified SpaceTime Uncertainty
Abbas Farmany
Full text: Acrobat PDF
(96 KB)

We
consider the modified spacetime uncertainty in the matrix theory point of
view. First, we find a suitable theorem for the modified spacetime
uncertainty. Furthermore, this theorem is proved in the matrix theory
compactifications.

8

Analytical
OnePhoton Double Differential Spectrum From InFlight Decay of Scalar
Neutral Mesons
Giuseppe Russo and Antonio Giusa
Full text: Acrobat PDF
(253 KB)

We
introduce a direct simple method to evaluate the onephoton double
differential spectrum from the decay of pseudoscalar neutral mesons. The
analytical distributions of the opening angle and of the ratio of energies
of the two gammas are then straightforwardly deduced. The physical interest
is also outlined.

9

On the Finite
Caputo and Finite Riesz Derivatives
A. M. A. ElSayed and M. Gaber
Full text: Acrobat PDF
(204 KB)

In
this paper, we give some properties of the left and right finite Caputo
derivatives. Such derivatives lead to finite Riesz type fractional
derivative, which could be considered as the fractional power of the
Laplacian operator modelling the dynamics of many anomalous phenomena in
superdiffusive processes. Finally, the exact solutions of certain
fractional diffusion partial differential equations are obtained by using
the Adomain decomposition method and some new diffusionwave equations are presented.

10

Numerical Classical
and Quantum Mechanical Simulations of Charge Density Wave Models
A. W. Beckwith
Full text: Acrobat PDF
(342 KB)

First,
using a driven harmonic oscillator model by a numerical scheme formulated
by Littlewood, we present a computer simulation of charge density waves
(CDW); next, we use this simulation to show how the dielectric model
presented via this procedure leads to a blow up at the initialization of a
threshold field E_T. Finding this approach highly unphysical, we initiated
inquiry into alternative models. We investigate how to present the
transport problem of CDW quantum mechanically, through a numerical
simulation of the massive Schwinger model. We find that this singlechain
quantum mechanical simulation used to formulate solutions to CDW transport
is insufficient for transport of solitonantisolitons (SS') through a
pinning gap model of CDW. We show that a model Hamiltonian with Peierls
condensation energy used to couple adjacent chains (or transverse wave
vectors) permits formation of SS' that can be used to transport CDW
through a potential barrier. This addition of the Peierls condensation
energy term is essential for any quantum model of CDW to give a numerical
simulation to tunneling behavior.

11

A New Wave Quantum
Relativistic Equation from Quaternionic Representation of MaxwellDirac
Isomorphism as an Alternative to BarutDirac Equation
V. Christianto
Full text: Acrobat PDF
(227 KB)

It
is known that Barut's equation could predict lepton and hadron mass with
remarkable precision. Recently some authors have extended this equation,
resulting in BarutDirac equation. In the present article we argue that it
is possible to derive a new wave equation as alternative to BarutDirac's
equation from the known exact correspondence (isomorphism) between Dirac
equation and Maxwell electromagnetic equations via biquaternionic
representation. Furthermore, in the present note we submit the viewpoint
that it would be more conceivable if we interpret the vierbein of this
equation in terms of superfluid velocity, which in turn brings us to the
notion of topological electronic liquid. Some implications of this
proposition include quantization of celestial systems. We also argue that
it is possible to find some signatures of BoseEinstein cosmology, which
thus far is not explored sufficiently in the literature. Further
experimental observation to verify or refute this proposition is
recommended.

12

A Dynamics of Charged Spherically Symmetric Thick
Shell
A. Eid
Full text: Acrobat PDF
(125 KB)

We
Consider a spherically symmetric thick shell in two different space times.
We have used the equation of motion for thick shell, developed by
Khakshournia and Mansouri, to obtain the equation of motion of a charged
spherical shell. We Expand the dynamical equation of motion of thick shell,
to the first order of its thickness, to compare it with the dynamics of
charged thin shell. It is shown that the effect of thickness is to speed up
the collapse of the shell.

Volume 3, Issue 13 (December 2006)
Full text: Acrobat PDF
(1,272 KB)
Number

Articles Title

Abstract

1

Particle Interference without Waves
Marcello Cini
Full text: Acrobat PDF
(166 KB)

After
eighty years of Quantum Mechanics (QM) we have learned to live with wave
functions without worrying about their physical nature. This attitude is
certainly justified by the extraordinary success of the theory in
predicting and explaining not only all the phenomena encountered in the
domain of microphysics, but also some spectacular nonclassical macroscopic
behaviors of matter. Nevertheless one cannot ignore that the waveparticle
duality of quantum objects not only still raises conceptual problems among
the members of the small community of physicists who are still interested
in the foundations of our basic theory of matter, but also induces
thousands and thousands of physics students all around the world to ask
each year, at their first impact with Quantum Mechanics, embarrassing
questions to their teachers without receiving really convincing answers.
Remember that Feynman once said ``It is fair to say that nobody understands
Quantum Mechanics''. My purpose is to show that these difficulties can only
be faced by pursuing a line of research which takes for granted the
irreducible nature of randomness in the quantum world. This can be done by
eliminating from the beginning the unphysical concept of wave function. I
believe that this elimination is conceptually similar to the elimination of
the aether, together with its paradoxical properties, from classical
electrodynamics, accomplished by relativity theory. In our case the lesson
sounds: No wave functions, no problems about their physical nature.
Furthermore, the adoption of a statistical approach from the beginning for
the description of the physical properties of quantum systems sounds
methodologically better founded than the conventional ad hoc hybrid
procedure of starting with the determination of a system's wave function of
unspecified nature followed by a ``hand made'' construction of the
probability distributions of its .physical variables.

2

Metric Variation
Inside Transitioning Superconducting Shells
J. R. Claycomb and R. M. Chu
Full text: Acrobat PDF
(124 KB)

In
this paper, we outline the forward problem of metrical variation due to the
Casimir effect in transitioning superconducting shells. We consider a
massless scalar quantum field inside a hollow superconducting sphere and a
cylinder. Metric equations are developed describing the evolution of the
scale factors after the superconducting shells transition to the normal
state.

3

Black Scholes
Option Pricing with Stochastic Returns on Hedge Portfolio
J. P. Singh and S. Prabakaran
Full text: Acrobat PDF
(166 KB)

The
Black Scholes model of option pricing constitutes the cornerstone of
contemporary valuation theory. However, the model presupposes the existence
of several unrealistic and rigid assumptions including, in particular, the
constancy of the return on the ``hedge portfolio''. There, now, subsists
ample justification to the effect that this is not the case. Consequently,
several generalisations of the basic model have been attempted. In this
paper, we attempt one such generalisation based on the assumption that the
return process on the ``hedge portfolio'' follows a stochastic process
similar to the Vasicek model of shortterm interest rates.

4

CoExistence of
Regular and Chaotic Motions in the Gaussian Map
Vinod Patidar
Full text: Acrobat PDF
(193 KB)

In
this communication, the Gaussisn map, which has drawn less attention in the
past as compare to other onedimensional maps, has been explored.
Particularly, the dynamical behavior of the Gaussian map and the presence
of coexisting attractors (which is a rare phenomenon in onedimensional
maps) in the complete parameter space have been investigated. We also
suggest a possible geometrical reason for the emergence of coexisting
attractors at a particular set of system parameters, which works for all
onedimensional maps. The regions of parameter space, where regular and
chaotic motions coexist, have also been identified.

5

Does the Formation
of Temperature Dependence of Axion Walls Help Delineate a Regime Where the
Wheeler De Witt Equation Holds?
A. W. Beckwith
Full text: Acrobat PDF
(193 KB)

We
examine from first principles the implications of the 5^{th} Randall
Sundrum Brane world dimension in terms of setting initial conditions for
chaotic inflationary physics. Our model pre supposes that the inflationary
potential pioneered by Guth is equivalent in magnitude in its initial
inflationary state to the effective potential presented in the Randall
Sundrum model We also consider an axion contribution to chaotic inflation
(which may have a temperature dependence) which partly fades out up to the
point of chaotic inflation being matched to a Randall  Sundrum effective
potential. If we reject an explicit axion mass drop off to infinitesimal
values at high temperatures, we may use the Bogomolnyi inequality to re
scale and re set initial conditions for the chaotic inflationary potential.
Then the RandallSundrum brane world effective potential delineates the end
of the dominant role of di quarks, and the beginning of inflation. It also
leads to a new region where the Wheeler De Witt equation
holds.

6

Extended Non
Symmetric Gravitation Theory with a Scalar Field in Non Commutative
Geometry
N.Mebarki, F.Khelili and J.Mimouni
Full text: Acrobat PDF
(186 KB)

An
extended method to reformulate the non symmetric gravitation theory in the
non commutative geometry formalism is presented where all the lagrangian
terms, including the various interaction ones with scalar fields, emerge
naturally.

7

Some Important
Features of UltraLight Particles, Induced Cosmological Constant and
Massive Gravitons in Modern Cosmology Theories
ElNabulsi AhmadRami
Full text: Acrobat PDF
(267 KB)

Some
important features of ultralight masses and induced cosmological constant
implemented in Einstein gravity theory from supergravities arguments and
nonminimal coupling effects are presented and discussed in some details in
modern cosmology where massive gravitons are taken into account.

8

Building of Heat Kernel on NonCompactHomogeneous Spaces
V. Mikheyev and I.
Shirokov
Full text: Acrobat PDF
(250 KB)

Method
of the solution of the main problem of homogeneous spaces thermodynamics on
noncompact spaces in the case of noncompact homogeneous spaces is
presented in the article. The method is based on the formalism of coadjoint
orbits. In that article we present algorithm that allows efficiently
evaluate heat kernel on noncompact homogeneous spaces. The method is
illustrated with nontrivial example.

9

Radiating Shell
Supported by a Phantom Energy
A. Eid
Full text: Acrobat PDF
(136 KB)

I
describe the evolution of a thin spherically symmetric selfgravitating
phantom shell around the radiating shell. The general equations describing
the motion of shell with a general form of equation of state are derived.
The stability analysis of this phantom shell to linearized spherically
symmetric perturbation about static equilibrium solution is carried out.

10

Radial Matrix
Elements for the Hydrogen Atom
M. EncisoAguilar, J. LópezBonilla and M.
S'anchezMeraz
Full text: Acrobat PDF
(123 KB)

It
is known that the hydrogenlike atom can be studied as a Morse oscillator,
then here we show that these fact leads to an interesting method to obtain
the matrix elements for the Coulomb potential.

11

A Simply
Regularized Derivation of the Casimir Force
H. Razmi
Full text: Acrobat PDF (136
KB)

We
want to calculate the Casimir force between two parallel, uncharged,
perfectly conducting plates by a simple automatically regularized approach.
Although in the wellknown methods one should explicitly subtract the
energy term due to the empty space to regularize the calculation, here, the
regularization is simply/implicitly achieved by considering only the energy
per unit area of each plate.

Volume 4, Issue 14 (March 2007)
Full text: Acrobat PDF
(1,192 KB)
Number

Articles Title

Abstract

1

On the Dynamics of a nD Piecewise Linear Map
Zeraoulia Elhadj
Full text: Acrobat PDF
(130 KB)

This
paper, derives sufficient conditions for the existence of chaotic
attractors in a general nD piecewise linear discrete map, along the exact
determination of its dynamics using the standard definition of the largest
Lyapunov exponent.

2

Flow of Unsteady Dusty Fluid Under Varying
Pulsatile Pressure Gradient in Anholonomic Coordinate System
B.J.Gireesha, C.S.Bagewadi and B.C.Prasanna
Kumara
Full text: Acrobat PDF
(174 KB)

An
analytical study of unsteady viscous dusty fluid flow with uniform
distribution of dust particles between two infinite parallel plates has
been studied by taking into the account of the influence of pulsatile
pressure gradient. The flow analysis is carried out using differential
geometry techniques and analytical solutions of the problem is obtained
with the help of Laplace Transform technique and which are discussed with
the help of graphs.

3

Exact Solutions for Nonlinear
Evolution Equations Via Extended Projective Riccati Equation Expansion
Method
M A Abdou
Full text: Acrobat PDF
(152 KB)

By
means of a simple transformation, we have shown that the
generalizedZakharov equations, the coupled nonlinear KleinGordonZakarov equations,
the GDS, DS and GZ equations and generalized HirotaSatsuma coupled KdV
system can be reduced to the ellipticlike equations. Then, the extended
projective Riccati equation expansion method is used to obtain a series of
solutions including new solitary wave solutions,periodic and rational
solutions. The method is straightforward and concise, and its applications
is promising.

4

Evolutionary Neural Gas (ENG)
: A Model of Self Organizing Network from Input Categorization
I. Licata and L. Lella
Full text: Acrobat PDF
(385 KB)

Despite
their claimed biological plausibility, most self organizing networks have
strict topological constraints and consequently they cannot take into
account a wide range of external stimuli. Furthermore their evolution is
conditioned by deterministic laws which often are not correlated with the
structural parameters and the global status of the network, as it should
happen in a real biological system. In nature the environmental inputs are
noise affected and ``fuzzy''. Which thing sets the problem to investigate
the possibility of emergent behaviour in a not strictly constrained net and
subjected to different inputs. It is here presented a new model of
Evolutionary Neural Gas (ENG) with any topological constraints, trained by
probabilistic laws depending on the local distortion errors and the network
dimension. The network is considered as a population of nodes that coexist
in an ecosystem sharing local and global resources. Those particular
features allow the network to quickly adapt to the environment, according
to its dimensions. The ENG model analysis shows that the net evolves as a
scalefree graph, and justifies in a deeply physical sense the term
``gas'' here used.

5

Discrete Groups Approach to Non Symmetric
Gravitation Theory
N.Mebarki, F.Khelili and J.Mimouni
Full text: Acrobat PDF
(157 KB)

A
generalized discrete group formalism is obtained and used to describe the
Non Symmetric Gravity theory (NGT) coupled to a scalar field. We are able
to derive explicitly the various terms of the NGT action including the
interaction term without any adhoc assumptions.

6

Quantization of the Scalar
Field Coupled Minimally to the Vector Potential
W. I. Eshraim and N. I. Farahat
Full text: Acrobat PDF
(130 KB)

A
system of the scalar field coupled minimally to the vector potential is
quantized by using canonical path integral formulation based on
HamiltonJacobi treatment. The equation of motions are obtained as total
differential equation and the integrability conditions are examined.

7

A Generalized Option Pricing
Model
J. P. Singh
Full text: Acrobat PDF
(197 KB)

The
Black Scholes model of option pricing constitutes the cornerstone of
contemporary valuation theory. However, the model presupposes the existence
of several unrealistic assumptions including the lognormal distribution of
stock market price processes. There, now, subsists abundant empirical
evidence that this is not the case. Consequently, several generalisations
of the basic model have been attempted with relaxation of some of the
underlying assumptions. In this paper, we postulate a generalization that
contemplates a statistical feedback process for the stochastic term in the
Black Scholes partial differential equation. Several interesting
implications of this modification emanate from the analysis and are
explored.

8

Derivation of the Radiative
Transfer Equation Inside a Moving SemiTransparent Medium of Non Unit
Refractive Index
V. LE DEZ and H. SADAT
Full text: Acrobat PDF
(297 KB)

The
derivation of the radiative transfer equation inside a moving
semitransparent medium of non unit constant refractive index has been
completely achieved, leading to an exactly similar equation as in the case
of a unit index, unless it is expressed in a particular frame with
particular time and space coordinates; defining first the ``equivalent
vacuum'' and the ``matter'' space associated to its ``matter'' coordinates
with the help of the Gordon's metric, it is shown that an observer at rest
in vacuum perceives the isotropic moving medium as an anisotropic uniaxial
medium of given optical axis, for which it is possible to derive general
transmission and reflection rules for electromagnetic fields; however the
exhibited refractive index characterising the moving medium, relatively to
the observer located in vacuum, is not an effective index but only an
apparent one without any energetic significance, and the specific intensity
must be obtained relatively to a given observer at rest located inside the
moving medium; finally the general form of the radiative transfer equation
is obtained in the moving medium.

9

Quantum Images and the
Measurement Process
Fariel Shafee
Full text: Acrobat PDF
(124 KB)

We
argue that symmetrization of an incoming microstate with similar states in
a sea of microstates contained in a macroscopic detector can produce an
effective image, which does not contradict the nocloning theorem, and such
a combinatorial set, with conjugate quantum numbers can form virtual bound
states with the incoming microstate. This can then be used with first
passage random walk interactions to give the right quantum mechanical
weight for different measured eigenvalues.

Volume 4, Issue 15 (July 2007)
Full text: Acrobat PDF
(1,725 KB)
Number

Articles Title

Abstract

1

Mental and Physical Objects
in Quantum Mechanics:Any Lessons for Other Disciplines?
M. Cini
Full text: Acrobat PDF
(126 KB)

The
standard formulation of Quantum Mechanics has raised from its beginning
animated discussions about the interpretation of the counterintuitive
properties of mental objects (wave functions or Schrödinger waves)
introduced to represent the properties of the physical objects. Two
questions have since then been formulated to which a universally accepted answer
is still lacking. The first one (Bohr, von Neumann) concerns the
ontological nature of physical reality (the existence of classical objects)
and the role of the observer (wave packet collapse) in assessing it. The
second one is the non local character of quantum physical quantities
(Einstein Podolski Rosen [EPR] long distance correlation of particles). An
alternative formulation of Quantum Mechanics, originally proposed in 1932
by Eugene Wigner, taken up by Richard Feynman in 1987, and reelaborated by
myself in the years from 1998 to 2003, is possible. The mental objects of
standard Quantum Mechanics (Schrödinger waves) no longer appear in
this new formulation and are replaced by new ones (Wigner functions) which
do not show any more the puzzling properties which worried Einstein. My
conclusion from the preceding discussion is that different explanations of
a given set of experimental data may be derived according to the different
nature of the mental objects introduced to represent the properties of the
physical objects involved. The confusion between these two kind of objects
may be, however, very misleading. I will finally discuss two examples of
this conclusion from Biology and Economics.

2

FantappiéArcidiacono
Theory of Relativity Versus Recent Cosmological Evidences : A Preliminary
Comparison
L. Chiatti
Full text: Acrobat PDF
(183 KB)

Notwithstanding
the Fantappié Arcidiacono theory of projective relativity was
introduced more than half a century ago, its observational confirmations in
cosmology (the only research field where its predictions differ from those
of the Einsteinian relativity) are still missing. In line of principle,
this theory may be proposed as a valid alternative to the current views
assuming the dominance of dark matter and inflationary scenarios. In this
work, the relativistic transformation of the Poynting vector associated
with the reception of electromagnetic waves emitted by astronomical objects
is derived in the context of the special version of the theory. On the
basis of this result, and some heuristic assumptions, two recent
collections of observational data are analyzed : the mz relation for type
Ia supernovae (SNLS, SCP collaborations) and the log N  log S relation
obtained from the FIRST survey of radio sources at 1.4 GHz. From the first
analysis, values are derived for the current density of matter in the
universe and the cosmological constant that are of the same order of
magnitude as those obtained from the most recent conventional evaluations.
The second analysis results in an evolutionary trend of number of sources
as a function of z that is in qualitative agreement with that obtained from
more conventional analyses. Therefore it can be concluded, as a preliminary
result, that the application of the theory to the study of cosmological
processes leads to results which not substantially differ from these
currently accepted. However, in order to obtain a more reliable comparison
with observations, a solution is needed for the gravitational equations in
the general version of the theory.

3

Considering Relativistic
Symmetry as the First Principle of Quantum Mechanics
T. Kawahara
Full text: Acrobat PDF
(143 KB)

On
the basis of the relativistic symmetry of Minkowski space, we derive a
Lorentz invariant equation for a spread electron. This equation slightly
differs from the Dirac equation and includes additional terms originating
from the spread of an electron. Further, we calculate the anomalous
magnetic moment based on these terms. These calculations do not include any
divergence; therefore, renormalization procedures are unnecessary. In
addition, the relativistic symmetry existing among coordinate systems will
provide a new prospect for the foundations of quantum mechanics like the
measurement process.

4

On Certain Quantization
Aspects of (Generalized) Toda Systems
M. Legare
Full text: Acrobat PDF
(141 KB)

Ordinary
and gl(n,\R) generalized Toda systems as well as a related hierarchy are
probed with respect to certain quantization characteristics.
``Quantum" canonical and Poisson transformations are used to study
quantizations of transformed Toda systems. With a Lax pair setting, a
hierarchy of related systems are shown and their quantizations discussed.
Finally, comments are added about quantum aspects of gl(n,\R) generalized
Toda systems with the approaches of deformation quantization or quantum
groups in mind.

5

Klein Gordon Equation for
the Heating of the Fermionic Gases
M.Pelc, J. Marciak  Kozlowska and
M. Kozlowski
Full text: Acrobat PDF
(77 KB)

In
this paper the model for the interaction of the ultrashort laser pulses
with matter is proposed. The KleinGordon equation for heat transport is
developed and solved. The condition for the existence of the massless heat
carriers is formulated. The condition is V\tau =\hbar /8, where V is
potential energy, \tau is the relaxation time. The new thermal KleinGordon
equation can be applied to the study of thermal processes for the fermionic
gases (electron, nucleon).

6

Deformation Quantization of
Submanifolds and Reductions via DufloKirillovKontsevich Map
A. Chervov and L. Rybnikov
Full text: Acrobat PDF
(185 KB)

We
propose the following recipe to obtain the quantization of the Poisson
submanifold $N$ defined by the equations f_i=0 (where f_i are Casimirs)
from the known quantization of the manifold M: one should consider factor
algebra of the quantized functions on M by the images of D(f_i), where D:
Fun(M) \to Fun(M)\otimes \CC[\hbar] is DufloKirillovKontsevich map. We
conjecture that this algebra is isomorphic to quantization of Fun(N) with
Poisson structure inherited from M. Analogous conjecture concerning the
Hamiltonian reduction saying that "deformation quantization commutes
with reduction" is presented. The conjectures are checked in the case
of S^2 which can be quantized as a submanifold, as a reduction and using
recently found explicit star product. It's shown that all the constructions
coincide.

7

Hidden Symmetry, Excitonic
Transitions and TwoDimensional Kane's Exciton in the Quantum Well
E.M. Kazaryan, L.S. Petrosyan, and
H.A. Sarkisyan
Full text: Acrobat PDF
(131 KB)

The
influence of hidden symmetry on twodimensional excitonic states in
semiconductor quantum wells is investigated. It is shown that excitonic
states in quantum wells, with the parabolic dispersion law for the electron
and hole, and Sommerfeld's coefficients for excitonic transitions are
determined only with the principle quantum number within the framework of
twodimensional Coulomb potential. This is a result of hidden symmetry of
twodimensional Coulomb problem, conditioned by the existence of
twodimensional analog of the RungeLentz vector. For the narrow gap
semiconductor quantum well with the nonparabolic dispersion law of
electron and hole, in the twoband Kane model, it is shown that
twodimensional excitonic states are described in the frames of analog of
the KleinGordon equation with the twodimensional Coulomb potential.
Nonstability of the ground state of the twodimensional Kane's exciton
investigated.

8

DebeverPenrose Principal
Directions in Terms of Null Canonical Vectors
N. Hamdan, R. GarciaOlivo, and J.
LopezBonilla
Full text: Acrobat PDF
(65 KB)

We
show explicit expressions to construct the DebeverPenrose vectors from a
given null canonical tetrad.

9

How Can Brane World Physics
Influence Axion Temperature Dependence, Initial Vacuum
States, and
Permissible Solutions to the WheelerDe Witt Equation in Early Universe
Cosmology?
A.W. Beckwith
Full text: Acrobat PDF
(305 KB)

We
use an explicit RandallSundrum brane world effective potential as
congruent with conditions needed to form a minimum entropy starting point
for an early universe vacuum state. We are investigating if the Jeans
instability criteria mandating low entropy, low temperature initial pre
inflation state configuration can be reconciled with thermal conditions of
temperatures at or above ten to the 12 Kelvin, or higher, when cosmic
inflation physics takes over. We justify this by pointing to the Ashtekar,
Pawlowski, and Singh (2006) article about a prior universe being modeled
via their quantum bounce hypothesis which states that this prior universe
geometrically can be modeled via a discretized Wheeler  De Witt equation
, with it being the collapsing into a quantum bounce point singularity
converse of the present day universe expanding from the quantum bounce
point so delineated in their calculations. The prior universe would provide
thermal excitation into the Jeans instability mandated cooled down initial
state, with low entropy, leading to extreme graviton production. This
necessitates reconciling the lack of a quantum bounce seen in brane world
models with the proof of relic graviton production so provided in the
simulation so provided. This is also a way of getting around the get around
the fact that conventional cosmological CMB is limited by a barrier as of a
red shift limit of about z = 1000, i.e. when the universe was about 1000 times
smaller and 100,000 times younger than today as to photons, and to come up
with a working model of quintessence scalar fields which permits relic
generation of dark matter/dark energy.

10

Gravitation and Gauge Fields
in a Space with 4+n Dimensions
Ion Rosu
Full text: Acrobat PDF
(155 KB)

In
this paper, for a particular symmetry, we obtain the geodesics' and field
equations in a space with 4+n dimensions. The geodesics equations represent
the motion equations in the presence of gravitation field and gauge fields.
All fields depend of x=\left\{ {x^\alpha } \right\}\in M^4 and do not
depend of y=\left\{ {y^k} \right\}\in M^n. The field equations are Einstein
equations in a space with 4+n dimensions. The gravitation field is
represented by the tensor components G_{\alpha \beta } which satisfy
nonlinear equations in M^4. If M^4 is a subspace in a space with 4+n_g
dimensions, then G_{\alpha \beta } =G_{\alpha \beta }^0 +g_\alpha ^{r_0 }
g_{\beta r_0 } and in this space the fields g_\alpha ^{r_0 } satisfy the
same type of equations satisfied by the gauge fields g_\alpha ^{r } . This
allows the quantification of gravitation fields $g_\alpha ^{r_0 }.

11

Fractional Path Integral and
Exotic Vacuum for the Free Spinor Field Theory with Grassman Anticommuting
Variables
ELNABULSI Ahmad Rami
Full text: Acrobat PDF
(119 KB)

A
systematic formulation of fractional path integral for the free spinor
field theory is presented and discussed within the framework of fractional
actionlike variational approach (or fractionally differentiated Lagrangian
function) recently formulated by the author. Some interesting explicit
formulas and features are discussed in some details.

12

Randomized Time and Frequency
Domain Estimation from Semimartingales
Enrico Capobianco
Full text: Acrobat PDF
(580 KB)

One
established fact in financial economics and mathematics is the convergence
of realised to integrated volatility according to the quadratic variation
principle. When computed in general semimartingale asset price models, the
cumulative squared high frequency returns represent consistent estimators
of the integrated volatility. Both time and frequency domain estimators are
available for solving what, in an unifying approach, could be considered an
inverse problem, the recovery of latent volatility from the realizations of
observable return processes. Since the relation between realised and
integrated volatility implies that one is transformed into the other with
noise, we work in a simulated environment of Brownian motion paths for
exemplifying the semimartingale context and produce randomized estimators
for the volatility. With the support of experimental evidence, we can show
the consistency of time and frequencybased volatility estimators and
their speed of convergence to the quadratic variation limit.

12

Microwave Induced Tunneling
in Stub Tuner Mesoscopic Device and its Chaotic Behavior
Attia A. AwadAlla, Arafa H. Aly,
and Adel H. Phillips
Full text: Acrobat PDF
(104 KB)

We
study the thermoelectric transport properties of mesoscopic devices in
which the dynamics of the electrons are chaotic. The present studied device
is an electronic stub tuner modeled as SSmSSmS (Ssuperconductor,
Smsemiconductor). The thermo power of the present device is expressed in
terms of the conductance of the system, which is derived by the technique based
on LandauerButtiker equation. The influence of timevarying fields on the
transport through such device has been taken into consideration and also
the effect of magnetic field. The results show an oscillatory behavior of
the dependence of the thermo power on both the magnetic field and frequency
of the induced field. These oscillations appear as random fluctuation in
peak heights. Analysis of these results shows that mesoscopic fluctuations
obey Lorentzian distribution and under some conditions it is an exponential
distribution. Our results are found concordant with those in the
literature.


Classical Heisenberg
Hamiltonian Solution of Oriented Spinel Ferrimagnetic Thin Films
P. Samarasekara
Full text: Acrobat PDF
(147 KB)

The
classical Heisenberg Hamiltonian was solved for oriented spinel thin and
thick cubic ferrites. The dipole matrix of complicated cubic cell could be
simplified into the form of dipole Matrix of simple cubic cells. This study
was confined only to the highly oriented thin films of ferrite. The
variation of total energy of Nickel ferrite thin films with angle and
number of layers was investigated. Also the change of energy with stress
induced anisotropy for Nickel ferrite films with N=5 and 1000 has been
studied. Films with the magnetic moments ratio 1.86 can be easily oriented
in \theta =90^{0} direction when Nis
greater than 400. Although this simulation was performed only for
\frac{J}{\omega }=100,\frac{\sum\limits_{m=1}^N D_m ^{(\ref{eq2})}}{\omega
}=10,\frac{H_{in} }{\omega }=\frac{H_{out} }{\omega }=0,\frac{K_s }{\omega
}=5 \mbox{ and } \frac{\sum\limits_{m=1}^N D_m ^{(4)}}{\omega }=5 as an
example, these equations can be applied for any value of \frac{J}{\omega
},\frac{\sum\limits_{m=1}^N D_m ^{(\ref{eq2})}}{\omega },\frac{H_{in}
}{\omega },\frac{H_{out} }{\omega },\frac{K_s }{\omega } \, \mbox{ and } \,
\frac{\sum\limits_{m=1}^N D_m
^{(4)}}{\omega
}.

Volume 4, Issue 16 III
(December 2007)
Full text: Acrobat PDF (763
KB)
Number

Articles Title

Abstract

1

Multiboundary Algebra as
Pregeometry
Ben Goertzel
Full text: Acrobat PDF
(96 KB)

It
is well known that the Clifford Algebras, and their quaternionic and
octonionic subalgebras, are structures of fundamental importance in modern
physics. ~Geoffrey Dixon has even used them as the centerpiece of a novel
approach to Grand Unification. ~ In the spirit of Wheeler's notion of
"pregeometry" and more recent work on quantum set theory, the goal
of the present investigation is to explore how these algebras may be seen
to emerge from a simpler and more primitive order. In order to observe this
emergence in the most natural way, a pregeometric domain is proposed that
consists of two different kinds of boundaries, each imposing different
properties on the combinatory operations occurring between elements they
contain. ~It is shown that a very simple variant of this kind of
"multiboundary algebra" gives rise to Clifford Algebra, in much the
same way as SpencerBrown's simpler singleboundary algebra gives rise to
Boolean algebra.

2

Scale Relativity: A Fractal
Matrix for Organization in Nature
Laurent Nottale
Full text: Acrobat PDF
(570 KB)

In
this review paper, we recall the successive steps that we have followed in
the construction of the theory of scale relativity. The aim of this theory
is to derive the physical behavior of a nondifferentiable and fractal
spacetime and of its geodesics (to which waveparticles are identified),
under the constraint of the principle of relativity of all scales in
nature. The first step of this construction consists in deriving the
fundamental laws of scale dependence (that describe the internal structures
of the fractal geodesics) in terms of solutions of differential equations
acting in the scale space. Various levels of these scale laws are
considered, from the simplest scale invariant laws to the logLorentzian
laws of special scale relativity. The second step consists in studying the
effects of these internal fractal structures on the laws of motion. We find
that their main consequence is the transformation of classical mechanics in
a quantumtype mechanics. The basic quantum tools (complex, spinor and
bispinor wave functions) naturally emerge in this approach as consequences
of the nondifferentiability. Then the equations satisfied by these wave
functions (which may themselves be fractal and nondifferentiable), namely,
the Schrödinger, KleinGordon, Pauli and Dirac equations, are
successively derived as integrals of the geodesics equations of a fractal
spacetime. Moreover, the Born and von Neumann postulates can be
established in this framework. The third step consists in addressing the
general scale relativity problem, namely, the emergence of fields as
manifestations of the fractal geometry (which generalizes Einstein's
identification of the gravitational field with the manifestations of the
curved geometry). We recall that gauge transformations can be identified
with transformations of the internal scale variables in a fractal
spacetime, allowing a geometric definition of the charges as conservative
quantities issued from the symmetries of the underlying scale space, and a
geometric construction of Abelian and nonAbelian gauge fields. All these
steps are briefly illustrated by examples of application of the theory to
various sciences, including the validation of some of its predictions, in
particular in the domains of high energy physics, sciences of life and
astrophysics.

Volume 5, Issue 17 (March 2008)
Full text: Acrobat PDF
(3,010 KB)
Number

Articles Title

Abstract

1

A Review of Leading Quantum
Gravitational Corrections to Newtonian Gravity
Arif Akhundov and Anwar Shiekh
Full text: Acrobat PDF
(649 KB)

In
this review we present the theoretical background for treating General
Relativity as an effective field theory and focus on the concrete results
of such a treatment. As a result we present the calculations of the
lowenergy leading gravitational corrections to the Newtonian potential
between two sources.

2

Radiation
Reaction at Extreme Intensity
Richard T. Hammond
Full text: Acrobat PDF
(165 KB)

The
radiation reaction force is examined for an idealized short pulse of
electromagnetic radiation and for a plane wave. Exact solutions (without
radiation reaction) are discussed, the total radiated power is calculated.
A new and simpler approach to the approximate form of the equation of
motion is presented that automatically removes the runaway solutions.
Finally, analytical solutions are presented for the equations of motion
that include the radiation reaction forces in the very high intensity
regime. A classical scattering angle is defined and it shows that the
electron is scattered in a small cone in the forward direction. The radiation
reaction corrections to this angle are also considered.

3

SuperLight Electromagnetic
Wave With Longitudinal And Transversal Modes
M.M. Kononenko
Full text: Acrobat PDF
(177 KB)

The
transformation converting equations invariant under Lorentz into the
equations invariant under Galileo is obtained. On this basis:(1) the
superlight electromagnetic wave with longitudinal and transversal modes is
found out; (2) it is shown the wave velocity coincides with that of de
Broglie's wave; (3) the connection between Maxwell's electrodynamics and
Shr\"{o}dinger's equation is established; (4) structural elements of
space are discovered and ``a horizon of visibility'' is found. It is shown Bell's inequalities
and the principle of the light speed constancy are based on the SRT
artifact and ``Einstein's local realism'' is determined by the wave
referred above. Objectivity of results for quantum and classical objects is
discussed.

4

Non Commutative Geometry
Constraints and the Standard Renormalization Group Approach: Two Doublets
Higgs Model as An Example.
N.Mebarki and M.Harrat
Full text: Acrobat PDF
(210 KB)

The
ChamssedineFr\"{o}hlich Approach to Noncommutative Geometry (NCG) is
extended and applied to the reformulation of the two doublets Higgs model.
The Fuzzy mass, coupling and unitarity relations are derived. It is shown
that the latter are no more preserved under the renormalization group
equations obtained from the standard quantization method. This suggests to
look for an appropriate NCG quantization procedure.

5

HamiltonJacobi Formulation
of a NonAbelian YangMills Theories
W. I. Eshraim and N. I. Farahat
Full text: Acrobat PDF
(126 KB)

A
nonAbelian theory of fermions interacting with gauge bosons is treated as
a constrained system using the HamiltonJacobi approach. The equations of
motion are obtained as total differential equations in many variables. The
integability conditions are satisfied, and the set of equations of motion
is integrable. A comparison with Dirac's method is done

6

Physical Form of The
Clustering Parameter And Gravitational Galaxy Clustering
Sajad Masood , Manzoor A Malik, Shakeel Ahmad and N. A.
Rather
Full text: Acrobat PDF
(195 KB)

A
theory for a system clustering under gravity is developed for the
clustering parameter b(n,T), in terms of a partial differential equation
using thermodynamic technique. Various solutions of the differential
equation relate b(n,T) with density n and temperature T of the gravitating
system. The physical validity of various solutions of b(n,T) on the basis
of certain boundary conditions and probability density distribution
function is discussed. Results indicate that the clustering parameter
depends on the specific combination nT^{3}. The theory also provides a new
insight into gravitational clustering.

7

Penrose Model Potential,
Compared With Coleman Weinberg Potential for Early Universe Scalar
Evolution
A.W. Beckwith
Full text: Acrobat PDF
(174 KB)

We
present evidence in terms of a D'Alembertain operator acting on a scalar
field minus the first derivative of a potential system, with respect to an
inflaton scalar field, that the Penrose model as outlined as an alternative
to cosmological big crunch models gives us emergent behavior for an
inflaton scalar field in early universe cosmological models. This is in
contrast to the ColemanWeinberg potential which in low temperature
conditions is always presenting almost non existent emergent scalar fields.
This permits us to state that Penrose's cyclic universe model in its
initial conditions gives us scalar field dynamics consistent with emergent
scalar fields which die out quickly as temperature drops after the onset of
inflation. We make no attempt to find the particulars of the conformal
mapping which allows the alternative to the big crunch Penrose (2007)
lectured upon in the inaugural meeting of the IGC at Penn State.

8

Increasing Effective
Gravitational Constant In Fractional Add Brane Cosmology
ElNabulsi Ahmad Rami
Full text: Acrobat PDF
(136 KB)

ArkaniHamedDimopoulosDvali
brane model with timeincreasing scaling gravitational constant is
constructed within the framework of fractional actionlike variational
approach with one positive parameter `\alpha'.

9

A TwoDimensional Discrete
Mapping with C^{Infinity} Multifold Chaotic Attractors
Zeraoulia Elhadj and J. C. Sprott
Full text: Acrobat PDF
(638 KB)

This
paper introduces a twodimensional, C^{\infinity} discrete bounded map
capable of generating "multi fold" strange attractors via
perioddoubling bifurcation routes to chaos.

10

BosonsParafermions
WessZumino Model
L. Maghlaoui and N. Belaloui
Full text: Acrobat PDF
(159 KB)

A
WessZumino model in terms of bosons and parafermions of order p=2 is
investigated.\,We show that the parasupercharges associated to the parasupersymmetric
transformations satisfy the p=2 trilinear relations. The closure of the
transformations algebra is established with a trilinear product rule for
the fermionic elements. Finally, we verify that these parasupercharges are
really the generators of the parasupersymmetric transformations.

11

Geometrodynamics of
Information on Curved Statistical Manifolds and Its Applications to Chaos
C. Cafaro and S. A. Ali
Full text: Acrobat PDF
(256 KB)

A
novel informationgeometrodynamical approach to chaotic dynamics (IGAC) on
curved statistical manifolds based on Entropic Dynamics (ED) is presented
and a new definition of information geometrodynamical entropy (IGE) as a
measure of chaoticity is proposed. The general classical formalism is
illustrated in a relatively simple example. It is shown that the
hyperbolicity of a nonmaximally symmetric 6Ndimensional statistical
manifold {M}_{s} underlying an ED Gaussian model describing an arbitrary
system of 3N degrees of freedom leads to linear informationgeometric
entropy growth and to exponential divergence of the Jacobi vector field
intensity, quantum and classical features of chaos respectively. An
informationgeometric analogue of the ZurekPaz quantum chaos criterion in
the classical reversible limit is proposed. This analogy is illustrated
applying the IGAC to a set of nuncoupled threedimensional anisotropic
inverted harmonic oscillators characterized by a Ohmic distributed
frequency spectrum.

12

Stochastic Measures and
Modular Evolution in NonEquilibrium Thermodynamics
Enrique HernandezLemus, and Jesus
K. EstradaGil
Full text: Acrobat PDF
(239 KB)

We
present an application of the theory of stochastic processes to model and
categorize nonequilibrium physical phenomena. The concepts of uniformly
continuous probability measures and modular evolution lead to a systematic
hierarchical structure for (physical) correlation functions and
nonequilibrium thermodynamical potentials. It is proposed that macroscopic
evolution equations (such as dynamic correlation functions) may be obtained
from a nonequilibrium thermodynamical description, by using the fact that
extended thermodynamical potentials belong to a certain class of
statistical systems whose probability distribution functions are defined by
a {\it stationary measure}; although a measure which is, in general, {\sl
different} from the equilibrium Gibbs measure. These probability measures
obey a certain hierarchy on its stochastic evolution towards the most
probable (stationary) measure. This in turns defines a convergence
sequence. We propose a formalism which considers the mesoscopic stage
(typical of nonlocal dissipative processes such as the ones described by
extended irreversible thermodynamics) as being governed by stochastic
dynamics due to the effect of nonequilibrium fluctuations. Some
applications of the formalism are described.

13

Beltrami Flow of an Unsteady
Dusty Fluid between Parallel Plates in Anholonomic CoOrdinate System
B.J.Gireesha, C.S.Bagewadi and C.S.Vishalakshi
Full text: Acrobat PDF
(242 KB)

An
analytical study of Beltrami flow of viscous dusty fluid between two
parallel plates has been studied. The flow is due to influence of movement
of plates. Flow analysis is carried out using differential geometry
techniques and exact solutions of the problem are obtained using Laplace
Transform technique also which are discussed with the help of graphs drawn
for different values of Reynolds number. Further the expressions for
skinfriction are obtained at the boundaries.

14

Exact Solution of The Non 
Central Modified Kratzer Potential Plus a Ring  Shaped Like Potential By
The Factorization Method
J. Sadeghi and B. Pourhassan
Full text: Acrobat PDF
(175 KB)

In
this paper, we study the Schr\"odinger equation with a non  central
modified Kratzer potential plus a ring – shaped like potential, which
is not spherically symmetric. Thus, the standard methods for separation of
variables do not quite apply. However we are able to separate variables
using a simple extension of the standard method, which leads to solutions
in the associated Laguerre function for the radial part and Jacobi
polynomials for the polar angle part. We also introduce an interesting pair
of first order ladder operators, which allow us to generate the energy
eigenvalues for all states of the system. The obtained results show that
the lack of spherical symmetry removes the degeneracy of second quantum
number m which completely expected.

15

Discrete SelfSimilarity
between Rr Lyrae Stars And SinglyExcited Helium Atoms
Robert L. Oldershaw
Full text: Acrobat PDF
(137 KB)

Classical
variable stars called RR Lyrae stars have pulsating outer envelopes
constituted of excited atoms. Here we demonstrate that the qualitative and
quantitative properties of RR Lyrae variables and one subclass of their
atomic scale constituents: singlyexcited helium atoms undergoing
transitions between Rydberg states, share a remarkable degree of
selfsimilarity. In terms of masses, radii, oscillation periods,
morphologies and kinematics the stellar and atomic analogues obey a simple
set of discrete selfsimilar scaling equations. The concept of
stellar/atomic selfsimilarity may prove useful in the search for a deeper
understanding of both stellar and atomic systems.

16

Brownian Dynamics of
Nanoparticles Moving Near a Fluctuating Membrane
A. Bendouch, M. Benhamou, and H.
Kaidi
Full text: Acrobat PDF
(187 KB)

This
work deals with Brownian dynamics study of small nanoparticles moving near
an attractive penetrable fluid membrane. As consequence, these particles
are pushed towards the interface, under a change of a suitable physical
parameter, such as temperature, pressure or membrane environment. For
simplicity, we assume that the particle size is small enough in comparison
to the roughness of the membrane. In addition, the particles are supposed
to be of very low density (their mutual interactions can be ignored). Then,
the only remaining interaction is a meanforce external potential computed
exactly in some recent work. The latter that originates from the strong
membrane undulations, is a function of the perpendicular distance $z$.
Brownian dynamics are studied through the time particle density, which
solves the Smoluchowski equation. This density is determined exactly around
the fluid membrane, where the essential of phenomenon takes place. In
particular, far from the interface, the beads diffuse as usual. But inside
the thermal fluctuations region, the Brownian particles diffuse and
effectuate small oscillations, with a frequency \omega scaling as \omega
\thicksim \kappa ^{3/8}, where \kappa accounts for the bending rigidity
constant of the membrane. We emphasize that the present Brownian dynamics
study reveals the existence of a characteristic time \tau \thicksim \kappa
^{3/4}, which can be interpreted as the time beyond which the particles
reach their final equilibrium state. For early times \left( t<\tau
\right) , however, the particles are out equilibrium. After a long time
\left( t>\tau \right) , the beads reach their final equilibrium state,
and occupy new holes and valleys.\ Finally, this work must be considered as
a natural extension of a recent one that was concerned with the static
study of the colloidal organization in contact with a fluctuating fluid
membrane.

17

Influence of Third Order
Perturbation on Heisenberg Hamiltonian Of Thick Ferromagnetic Films
P. Samarasekara
Full text: Acrobat PDF
(197 KB)

The
effect of third order perturbation on the classical Heisenberg Hamiltonian
of thick ferromagnetic has been investigated for the first time. Energy of
thick films with layers up to 10000 has been plotted for sc(001) and
fcc(001) ferromagnetic compounds. Unlike the second order perturbation, the
third order perturbation does not increase the total energy by any
considerable amount. For the thicknesses approximately N=45 and 40, the
anisotropy energy is small for sc(001) and fcc(001), respectively,
indicating that the energy required to rotate from easy to hard direction
is really small at theses thicknesses. The energy curves of sc (001) and
fcc(001) with N=10000 have been flattened by reducing the smooth part of
the curve compared with those of second order perturbation. The angle
between the easy and hard direction is 97.4^{0} and 32.45^{0 }for sc(001)
and fcc(001) thick film with N=10000, respectively. The overshooting parts
began to appear after introducing second or third order perturbation, and
hence the angle between easy and hard directions is not 90^{0} in the
overshooting part of curves. The third and second order perturbation vanish
at \theta =0^{0} and 90^{0} directions.

18

Viscous Dusty Fluid Flow with
Constant Velocity Magnitude
Siddabasappa, Venkateshappa,
Rudraswamy, Gopinath
Full text: Acrobat PDF
(467 KB)

We
consider the viscous dusty fluid, where the velocity of the dust particle
is everywhere parallel to that of the fluid with velocity magnitude of the
fluid is constant along each individual streamline. Also it is assumed that
number density of the dust particle is constant and the dust particles are
uniform in size and shape and bulk concentration of the dust is small.
Hodograph and Legendre transform of stream function is employed to get the
solutions and the geometry of streamlines for these flows by using the
resulting partial differential equations when the Jacobian is zero and
nonzero cases. In each case the variation of pressure is analyzed
graphically.

19

The Influence of LongRange
Interaction on Critical Behavior of Some Alloys
S. V. Belim
Full text: Acrobat PDF
(124 KB)

The
critical behavior of some alloys are analyzed within the framework of
Heisenbergs model with longrange interaction. On based experimental values
of the critical exponent \gamma we calculate the value of paerameter of
longrange interaction.

Volume 5, Issue 18 (June 2008)
Full text: Acrobat PDF (949
KB)
Number

Articles Title

Abstract

1

LiénardWiechert
Electromagnetic field
R. GarcíaOlivo, R. Linares y M., J.
LópezBonilla, and A.
RangelMerino
Full text: Acrobat PDF
(178 KB)

The
electromagnetic field generated by a charge in arbitrary motion in
Minkowski space is briefly studied. Particularly important is the deduction
of the superpotential for the radiative part of Maxwell tensor.

2

On Conformal
d'AlembertLike Equations
E. Capelas de Oliveira and R. da
Rocha
Full text: Acrobat PDF
(125 KB)

Using
conformal coordinates associated with projective conformal relativity we
obtain a conformal KleinGordon partial differential equation. As a
particular case we present and discuss a conformal `radial' d'Alembertlike
equation. As a byproduct we show that this `radial' equation can be
identified with a onedimensional Schr\"odingerlike equation in which
the potential is exactly the second P\"oschlTeller potential.

3

Existence of YangMills
Theory with Vacuum Vector and Mass Gap
Igor Hrncic
Full text: Acrobat PDF
(83 KB)

This
paper shows that quantum theory describing particles in finite expanding
spacetime exhibits natural ultraviolet and infrared cutoffs as well
as posesses a mass gap and a vacuum vector. Having ultraviolet and
infrared cutoffs, all renormalization issues disappear. This shows that
YangMills theory exists for any simple compact gauge group and has a mass
gap and a vacuum vector.

4

Oneparameter potential from
Darboux Theorem
J GarcíaRavelo, J J Peña, J Morales, and
ShiHai Dong
Full text: Acrobat PDF
(128 KB)

We
consider the stationary onedimensional Schrödinger equation with
potential u(x;i)=\sum\limits_{j=2}^{2}f_{j}(i)x^{j}, where the coefficients
f_{j}(i) are functions of a discrete parameter i. We establish the most
general form of the coefficients f_{j}(i) and obtain the ladder operators
for the solution of Schrödinger equation by a Darboux transform.
Generally speaking, the Darboux transform is obtained through a socalled
superpotential W(x), which is derived from a Riccati equation. We first
propose a convenient \textit{ansatz} for the function % W^{\prime }(x) and
then yield a set of nine difference equations for the coefficients f_{j}(i).
This set of difference equations establishes the explicit form of the
coefficients f_{j}(i), in the potential u(x;i). Our results are consistent
with some wellknown quantum potentials in special cases.

5

Group Properties of the Black
Scholes Equation and its Solutions
J. P. Singh and S. Prabakaran
Full text: Acrobat PDF
(131 KB)

Several
techniques of fundamental physics like quantum mechanics, field theory and
related tools of noncommutative probability, gauge theory, path integral
etc. are being applied for pricing of contemporary financial products and
for explaining various phenomena of financial markets like stock price
patterns, critical crashes etc.. The cardinal contribution of physicists to
the world of finance came from Fischer Black {\&} Myron Scholes through
the option pricing formula which bears their epitaph and which won them the
Nobel Prize for economics in 1997 together with Robert Merton and which
constitutes the cornerstone of contemporary valuation theory. They obtained
closed form expressions for the pricing of financial derivatives by
converting the problem to a heat equation and then solving it for specific
boundary conditions. In this paper, we apply the wellentrenched group
theoretic methods to obtain various solutions of the Black Scholes equation
for the pricing of contingent claims. We also examine the infinitesimal
symmetries of the said equation and explore group transformation
properties. The structure of the Lie algebra of the Black Scholes equation
is also studied.

6

Physical Invariants of
Intelligence
Michail Zak
Full text: Acrobat PDF
(218 KB)

The
objective of this work is to extend the physical invariants of biosignature
(from disorder to order) to invariants of intelligent behavior: {from
disorder to order via phase transition}. The approach is based upon the extension
of the physics' First Principles that includes behavior of living systems.
The new architecture consists of motor dynamics simulating actual behavior
of the object, and mental dynamics representing evolution of the
corresponding knowledgebase and incorporating it in the form of
information flows into the motor dynamics. Due to feedback from mental
dynamics, the motor dynamics attains quantumlike properties:its trajectory
splits into a family of different trajectories, and each of those trajectories
can be chosen with the probability prescribed by the mental dynamics.
Intelligence is considered as a tool to preserve and improve survivability
of Livings. From the viewpoint of mathematical formalism, it can be
associated with the capability to make decisions that {control} the motor
dynamics via a feedback from the {mental} dynamics by providing a
quantumlike collapse of a random motion into an appropriate deterministic
state. Special attention is focused on datadriven discovery of the
underlying physical model displaying an intelligent behavior within the
proposed formalism.

7

The Numbers Universe: an
outline of the Dirac/Eddington numbers as scaling factors for fractal,
black hole universes
Ross A. McPherson
Full text: Acrobat PDF
(116 KB)

The
large number coincidences that fascinated theorists such as Eddington and
Dirac are shown here to be a specific example of a general set of scaling
factors defining universes in which fundamental forces are equated. The
numbers have prescriptive power and they are therefore correct and exact {a
priori}. The universes thus defined exhibit a fractal structure centred on
the Planck/Stoney scale with some formal resemblance to black holes and
with properties analogous to Hawking radiation. The problematic case of
emerging and evaporating universes is briefly considered in the context of
quantum gravity. Historically, the large numbers are associated with the
mass of a charged particle and the mass of the universe. This paper
demonstrates that the numbers are properly understood in the context of
four masses including a nonzero mass derived from Hubble`s Constant and
the Planck or Stoney mass.

8

Quantum Analog of the Black
Scholes Formula (market of financial derivatives as a continuous fuzzy
measurement
S. I. Melnyk, and I. G.
Tuluzov
Full text: Acrobat PDF
(104 KB)

We
analyze the properties of optimum portfolios, the price of which is
considered a new quantum variable and derive a quantum analog of the
BlackScholes formula for the price of financial variables in assumption
that the market dynamics can by considered as its continuous weak
measurement at noarbitrage condition.

9

Faster than Light Quantum
Communication
A.Y. Shiekh
Full text: Acrobat PDF
(150 KB)

Faster
than light communication might be possible using the collapse of the
quantum wavefunction without any accompanying paradoxes.

10

Reply to `On a Recent
Proposal of Faster than Light Quantum Communication'
A.Y. Shiekh
Full text: Acrobat PDF
(105 KB)

In a recent paper [1] the author proposed the
possibility of an experiment to perform fasterthanlight communication via
the collapse of the quantum wavefunction. This was analyzed by Bassi and
Ghirardi [2], and it is believed that this analysis itself merits a
detailed examination.

Volume 5, Issue 19 (October 2008)
Full text: Acrobat PDF
1,685 KB)
Number

Articles Title

Abstract

1

Quantum Computing Through Quaternions
J. P. Singh and S. Prabakaran
Full text: Acrobat PDF
(112 KB)

Using
quaternions, we study the geometry of the single and two qubit states of
quantum computing. Through the Hopf fibrations, we identify geometric
manifestations of the separability and entanglement of two qubit quantum
systems.

2

Constructible Models of Orthomodular
Quantum Logics
Piotr WILCZEK
Full text: Acrobat PDF
(246 KB)

We
continue in this article the abstract algebraic treatment of quantum
sentential logics [39]. The Notions borrowed from the field of Model Theory
and Abstract Algebraic Logic  AAL (i.e., consequence relation, variety,
logical matrix, deductive filter, reduced product, ultraproduct,
ultrapower, Frege relation, Leibniz congruence, Suszko congruence, Leibniz
operator) are applied to quantum logics. We also proved several
equivalences between state property systems (JauchPironAerts line of
investigations) and AAL treatment of quantum logics (corollary 18 and 19).
We show that there exist the uniquely defined correspondence between state
property system and consequence relation defined on quantum logics. We also
signalize that a metalogical property  Lindenbaum property does not hold
for the set of quantum logics.

3

Quantum Size Effect of Two Couple Quantum Dots
Gihan H. Zaki, Adel H. Phillips and Ayman S. Atallah
Full text: Acrobat PDF
(108 KB)

The
quantum transport characteristics are studied for double quantum dots
encountered by quantum point contacts. An expression for the conductance is
derived using Landauer  Buttiker formula. A numerical calculation shows
the following features: (i) Two resonance peaks appear for the dependence
of normalized conductance, G, on the bias voltage, V$_{0}$, for a certain
value of the inter barrier thickness between the dots. As this barrier
thickness increases the separation between the peaks decreases. (ii) For
the dependence of, G, on, Vo, the peak heights decrease as the outer
barrier thickness increases. (iii) The conductance, G, decreases as the
temperature increases and the calculated activation energy of the electron
increases as the dimension, b, increases. Our results were found concordant
with those in the literature.

4

Quantum Destructive Interference
A.Y. Shiekh
Full text: Acrobat PDF
(113 KB)

An
apparent paradox for unitarity nonconservation is investigated for the
case of destructive quantum interference.

5

Quantized Fields Around Field Defects
Bakonyi G.
Full text: Acrobat PDF
(98 KB)

A
heuristic exercise exploring analogies between different field theories.
Similarities between the crystal defects and other various fields help to
create a model to quantize these fields. The charge of the electromagnetic
field and the electromagnetic waves are used as examples.

6

Path Integral Quantization of BrinkSchwarz
Superparticle
N. I. Farahat, and H. A. Elegla
Full text: Acrobat PDF
(94 KB)

The
quantization of the BrinkSchwarz superparticle is performed by canonical
phasespace path integral.The supersymmetric particle is treated as a
constrained system using the HamiltonJacobi approach. Since the equations
of motion are obtained as total differential equations in many variables,
we obtained the canonical phase space coordinates and the phase space
Hamiltonian with out introducing Lagrange multipliers and with out any
additional gauge fixing condition.

7

Noncommutative Geometry and Modified Gravity
N. Mebarki and F. Khelili
Full text: Acrobat PDF
(145 KB)

Using
noncommutative deformed canonical commutation relations, a model of gravity
is constructed and a schwarchild like static solutions are obtained. As a
consequence, the Newtonian potential is modified and it is shown to have a
form similar to the one postulated by Fishbach et al. to explain the
proposed fifth force. More interesting is the form of the gravitational
acceleration expression proposed in the modified Newtonian dynamics
theories (MOND) which is obtained explicitly in our model without any ad
hoc asymptions.

8

Classification of Electromagnetic Fields in
nonRelativist Mechanics
N. Sukhomlin and M.
Arias
Full text: Acrobat PDF
(124 KB)

We
study the classification of electromagnetic fields using the equivalence
relation on the set of all 4potentials of the Schr\"odinger equation. In the general case we find the
relations among the equivalent fields, currents, and charge densities. Particularly, we study the fields
equivalent to the null field.
We show that the nonstationary state function for a particle in
arbitrary uniform timedependent magnetic field is equivalent to a plane
wave. We present that the known
coherent states of a free particle are equivalent to the stationary states
of an isotropic oscillator. We
reveal that the only constant magnetic field is not equivalent to the null
field (contrary to a constant electrical field) and we find other fields
that are equivalent to the constant magnetic field. We establish that one particular
transformation of the free Schr\"odinger equation puts a plane wave
and Green's function in a equivalence relation.

9

Magnetized Bianchi Type VI_0
Barotropic Massive String Universe with Decaying Vacuum Energy Density
\Lambda.
Anirudh Pradhan and Raj Bali
Full text: Acrobat PDF
(124 KB)

Bianchi
type VI_0 massive string cosmological models using the technique given by
Letelier (1983) with magnetic field are investigated. To get the
deterministic models, we assume that the expansion (\theta) in the model is
proportional to the shear (\sigma) and also the fluid obeys the barotropic
equation of state. It was found that vacuum energy density \Lambda \propto
\frac{1}{t^{2}} which matches with natural units. The behaviour of the
models from physical and geometrical aspects in presence and absence of
magnetic field is also discussed.

10

Bianchi Type V Magnetized
String Dust Universe with Variable Magnetic Permeability
Raj Bali
Full text: Acrobat PDF
(103 KB)

Bianchi
Type V magnetized string dust universe with variable magnetic permeability
is investigated. The magnetic field is due to an electric current produced
along xaxis. Thus F_{23} is the only nonvanishing component of
electromagnetic field tensor F_{ij}. Maxwell's equations F_{[ij;k]} = 0,
F_{;j}^{ij} = 0 are satisfied by F_{23} =constant. The physical and
geometrical aspects of the model with singularity in the model are
discussed. The physical implications of the model are also explained.

11

Dynamics of Shell With a
Cosmological Constant
A. Eid
Full text: Acrobat PDF
(102 KB)

Spherically symmetric thin
shell in the presence of a cosmological constant are constructed, applying
the DarmoisIsrael formalism. An equation governing the behavior of the
radial pressure across the junction surface is deduced. The cosmological
constant term slows down the collapse of matter. The spherical Nshell
model with an appropriate initial condition imitates the FRW universe with \Lambda
\ne 0, quite well.

12

Discrete Cosmological
SelfSimilarity and Delta Scuti Variable Stars
Robert L. Oldershaw
Full text: Acrobat PDF
(97 KB)

Within the context of a
fractal paradigm that emphasizes nature's wellstratified hierarchical
organization, the \delta Scuti class of variable stars is investigated for
evidence of discrete cosmological selfsimilarity. Methods that were
successfully applied to the RR Lyrae class of variable stars are used to
identify Atomic Scale analogues of \delta Scuti stars and their relevant range
of energy levels. The mass, pulsation mode and fundamental oscillation period
of a wellstudied \delta Scuti
star are then shown to be quantitatively selfsimilar to the counterpart
parameters of a uniquely identified Atomic Scale analogue. Several
additional tests confirm the specificity of the discrete fractal
relationship.

13

Neutrino Mixings and Magnetic
Moments Due to Planck Scale Effects
Bipin Singh Koranga
Full text: Acrobat PDF
(101 KB)

In this paper, we consider
the effect of Planck scale operators on neutrino magnetic moments. We
assume that the main part of neutrino masses and mixings arise through GUT
scale operators. We further assume that additional discrete symmetries make
the neutrino mixing bimaximal. Quantum gravitational (Planck scale)
effects lead to an effective SU(2)_{L}\times U(1) invariant dimension5
Lagrangian involving neutrino and Higgs fields, which gives rise to
additional terms in neutrino mass matrix. These additional terms can be
considered to be perturbation of the GUT scale bimaximal neutrino mass
matrix. We assume that the gravitational interaction is flavor blind and we
study the neutrino mixings and magnetic moments due to the physics above
the GUT scale.

14

Casimir Force in Confined
Crosslinked Polymer Blends
M. Benhamou, A. Agouzouk, H. Kaidi,
M. Boughou, S. El Fassi, and A. Derouiche
Full text: Acrobat PDF
(169 KB)

The physical system we
consider is a crosslinked polymer blend (or an interpenetrating polymer
network), made of two chemically incompatible polymers, which are confined
to two parallel plates that are a finite distance L apart, that is L<\xi
^{*}. Here, \xi^{*}\thicksim aD^{1/2} (a being the monomer size and D the
reticulation dose) denotes the size of the microdomains (mesh size). We
assume that these strongly adsorb one or the two polymers, near the
spinodal temperature (critical adsorption).\ The strong fluctuations of
composition give rise to an induced force between the walls we are
interested in. To compute this force, as a function of the separation L, we
elaborate a field model, of which the free energy is a functional of the
composition fluctuation (order parameter). Within the framework of this extended
de Gennes theory, we exactly compute this induced force, for two special
boundary conditions (symmetric and asymmetric plates). Symmetric plates
mean that these have the same preference to adsorb one polymer, while
asymmetric ones correspond to the situation where one polymer adsorbs onto
the first plate and the other onto the second one. Using the {\em phase
portrait} % method, we first show that the induced force is {\em
attractive}, for symmetric plates, and {\em repulsive}, for asymmetric
ones. Second, we demonstrate that the force satisfies the scaling laws: \Pi
_a=\Pi_a^0.\Omega _a\left( L/\xi ^{*}\right) (symmetric plates) and \Pi _r=\Pi
_r^0.\Omega _r\left( L/\xi ^{*}\right)
(asymmetric plates). Here, \Omega_a\left( x\right) and \Omega _r\left(
x\right) are {\em
known}universal scaling functions, where \Pi _a^0=E_aL^{4} and
\Pi_r^0=E_rL^{4} are the induced forces relative to an uncrosslinked
polymer blend confined to the same geometry (E_a and E_r are known
amplitudes).\ For very small distances compared to the mesh size \xi ^{*},
we show that, in any case, the force decays exponentially, that is : \Pi
_a\simeq E_aL^{4}\exp \left\{ L^2/\xi ^{*\text{ }2}\right\} and \Pi _r\simeq E_rL^{4}\exp \left\{
L^2/\xi ^{*\text{ }2}\right\} . Finally, this work must be regarded as a
natural extension of that relative to the uncrosslinked polymer blends.

15

Transport Properties of
Thermal Shot Noise Through SuperconductorFerromagnetic 2DEG Junction
Attia A. Awad Alla, and Adel H.
Phillips
Full text: Acrobat PDF
(306 KB)

We study transport
properties of thermal shot noise, thermo power and thermal conductance
through superconductorferromagnetic /2DEG junction under the effect of
Fermi energy, number of open channels and excitation energy. Thermal shot
noise, P_{Thermal} is directly related to the conductance through the
fluctuation dissipation theorem; the model consists of a 2DEG region
inserted between two identical superconductor electrodes. Ferromagnetic
strips are placed onto top of each superconductor/2DEG junction and voltage
applied across the model. The results show an oscillatory behavior of the
dependence of the thermal shot noise on Fermi energy. These results agree
with existing experiments. This research is very important for using a
model as a highfrequency shot noise detector.

16

On the Genuine Bound States
of a NonRelativistic Particle in a Linear Finite Range
Potential
Nagalakshmi A. Rao and B. A. Kagali
Full text: Acrobat PDF
(169 KB)

We explore the energy
spectrum of a nonrelativistic particle bound in a linear finite range,
attractive potential, envisaged as a quarkconfining potential. The
intricate transcendental eigenvalue equation is solved numerically to
obtain the explicit eigenenergies. The linear potential, which resembles
the triangular well, has potential significance in particle physics and
exciting applications in electronics.

17

Exact Nontraveling Wave and
Coefficient Function Solutions for (2+1)Dimensional
Dispersive Long Wave
Equations
Sheng Zhang, Wei Wang, and JingLin
Tong
Full text: Acrobat PDF
(209 KB)

In this paper, a new
generalized Fexpansion method is proposed to seek exact solutions of
nonlinear evolution equations. With the aid of symbolic computation, we
choose the (2+1)dimensional dispersive long wave equations to illustrate
the validity and advantages of the proposed method. As a result, many new
and more general exact nontraveling wave and coefficient function solutions
are obtained including single and combined nondegenerate Jacobi elliptic
function solutions, solitonlike solutions and trigonometric function
solutions, each of which contains two arbitrary functions. The arbitrary
functions provide us with enough freedom to discuss the behaviors of
solutions. As an illustrative example, new spatial structures of two
solutions are shown. Compared with the most existing Fexpansion methods,
the new generalized Fexpansion method gives not only more general exact solutions
but also new formal exact solutions. The proposed method can also be
applied to other nonlinear evolution equations in mathematical physics.

Volume 6, Issue 20 (February 2009)
Full text: Acrobat PDF
2,811 KB)
Number

Articles Title

Abstract

1

MacroscopicallyDiscrete Quantum Cosmology
Geoffrey F. Chew
Full text: Acrobat PDF
(232 KB)

Milne's
Lorentzgroupbased cosmological spacetime and GelfandNaimark unitary
Lorentzgroup representation through transformation of Hilbertspace
vectors combine to define a Fock space of `cosmological
preons'quantumtheoretic universe constituents. Lorentz invariance of
`age'\textit{global} \textit{time} accompanies Milne's `cosmological
principle' that attributes to each spatial location a Lorentz frame. We
divide Milne spacetimethe interior of a forward lightcone into
`slices' of fixed \textit{macroscopic} width in age, with `cosmological
rays' defined on (hyperbolic) \textit{slice} \textit{boundaries}. The Fock
space of our macroscopicallydiscrete quantum cosmology (DQC) is defined
\textit{only} at these \textit{exceptional} universe ages.
Selfadjointoperator expectations over the ray at any spacetimeslice
boundary prescribe throughout the following slice a nonfluctuating continuous
`classical reality' represented by Dalembertians, of classical
electromagnetic (vector) and gravitational (tensor) potentials, that are
current densities of locallyconserved electric charge and energymomentum.
The ray at the upper boundary of a slice is determined from the
lowerboundary ray by \textit{branched} slicetraversing \textit{stepped}
Feynman paths that carry potentialdepending action. Path step is at
Planckscale; branching points represent preon creationannihilation. Each
singlepreon wave function depends on the coordinates of a 6dimensional
manifold, one of whose `extra' dimensions associates in Dirac sense to a
selfadjoint operator that represents the preon's reversible \textit{local}
time. Within a path, localtime \textit{intervals} equal corresponding
intervals of monotonicallyincreasing global time even though, within a
(\textit{fixedage}) ray, the local time of a preon is variable. The
operator canonically conjugate to a preon's local time represents its
(total) energy in its (Milne) `local frame'. A macroscopicallystable
positiveenergy singlepreon wave function identifies either with a
StandardModel elementary particle or with a graviton. Within
intermediatedensity subHubblescale universe regions such as the solar
system, where `reproducible measurement' is meaningful, \textit{physical}
special relativity`Poincar\'{e} invariance'approximates DQC for
spacetime scales far above that of Planck.

2

Nonholonomic Ricci Flows: Exact Solutions
and Gravity
Sergiu I. Vacaru
Full text: Acrobat PDF
(281 KB)

In
a number of physically important cases, the nonholonomically
(nonintegrable) constrained Ricci flows can be modelled by exact solutions
of Einstein equations with nonhomogeneous (anisotropic) cosmological
constants. We develop two geometric methods for constructing such
solutions: The first approach applies the formalism of nonholonomic frame
deformations when the gravitational evolution and field equations transform
into systems of nonlinear partial differential equations which can be
integrated in general form. The second approach develops a general scheme
when one (two) parameter families of exact solutions are defined by any
source—free solutions of Einstein's equations with one (two) Killing
vector field(s). A successive iteration procedure results in a class of
solutions characterized by an infinite number of parameters for a
nonAbelian group involving arbitrary functions on one variable. We also
consider nonlinear superpositions of some mentioned classes of solutions in
order to construct more general integral varieties of the Ricci flow and
Einstein equations depending on infinite number of parameters and
three/four coordinates on four/ five dimensional (semi) Riemannian spaces.

3

Killing Symmetries of Deformed Relativity in Five
Dimensions
Fabio Cardone, Alessio Marrani and Roberto Mignani
Full text: Acrobat PDF
(742 KB)

This
is the first of two papers devoted to investigating the main mathematical
aspects of the KaluzaKleinlike scheme known as Deformed Relativity in
five dimensions (DR5). It is based on a fivedimensional Riemannian space
in which the fourdimensional spacetime metric is deformed (i.e. it
depends on the energy) and energy plays the role of the fifth dimension.
After a brief survey of the physical and mathematical foundations of DR5,
we discuss in detail the Killing symmetries of the theory. In particular,
we consider the case of physical relevance in which the metric coefficients
are power functions of the energy (Power Ansatz). In order to solve the
related Killing equations, we introduce a simplifying hypothesis of
functional independence ($\Upsilon $ hypothesis). The explicit expressions
of the Killing vectors for the energydependent metrics corresponding to
the four fundamental interactions (electromagnetic, weak, strong and
gravitational) are derived. A preliminary discussion of the
infinitesimalalgebraic structure of the Killing symmetries of DR5 is also
given.

4

Non commutative LemaitreTolmanBondi like Metric
and Cosmology
N.Mebarki, F.Khelili, H.Bouhalouf and O.Mebarki
Full text: Acrobat PDF
(161 KB)

Using
noncommutative deformed canonical commutation relations, a model describing
gravitation is constructed. A noncommutative Lemaitre TolmanBondi like
metric is proposed and non static solutions are discussed. It turns out
that in spite of its smallness, the noncommutativity of the geometry plays
an important role in unifying the dark matter and energy without any ad hoc
assumption, giving a plausible explanation of matterantimatter asymmetry
and controlling the evolution of the universe.

5

Self force on a pointlike source coupled with
massive scalar field
Yurij Yaremko
Full text: Acrobat PDF
(172 KB)

The
problem of determining the radiation reaction force experienced by a scalar
charge moving in flat spacetime is investigated. A consistent
renormalization procedure is used, which exploits the Poincar\'e invariance
of the theory. Radiative parts of Noether quantities carried by massive
scalar field are extracted. Energymomentum and angular momentum balance
equations yield HarishChandra equation of motion of radiating charge under
the influence of an external force. This equation includes effect of
particle's own field. The self force produces a timechanging inertial
mass.

6

New Jarlskog determiant from Physics above the GUT
Scale
Bipin Singh Koranga and S. Uma Sankar
Full text: Acrobat PDF
(103 KB)

We
study the Planck scale effects on Jarlskog determiant. Quantum
gravitational (Planck scale) effects lead to an effective $SU(2)\times
U(1)$ invariant dimension5 Lagrangian involving neutrino and Higgs fields,
which give rise to additional terms in neutrino mass matrix on electroweak
symmetry breaking. We assume that gravitational interaction is flavor blind
and compute the Jarlskog determiant due to Planck scale effects. In the
case of neutrino sector, the strentgh of CP violation is measured by
Jarlskog determiant. We applied our approach to study Jarlskog determinant
due to the Planck scale effects.

7

Derivation of the Rabbi equation by means of the
Pauli Matrices
M. De Sanctis and C. Quimbay
Full text: Acrobat PDF
(96 KB)

The
general quantummechanical properties of twolevel systems are very relevant for the study of
different physical subjects of
great interest, as, for instance, magnetic resonance, nuclear physics,
molecular dynamics, masers, neutrino oscillations, quantum computation,
etc. In this work we present a nonperturbative approach to the study of the
oscillations among two quantum states when an interaction term is
considered. First, we show that using a simple parametrization for the
superposition of the two states, it is possible to derive easily the Rabbi
equation. Next, we show that the Pauli matrices can be conveniently used to
write the Hamiltonian operator and to derive the Rabbi equation, directly
applying the time evolution
operator to the initial state of the system.

8

Noninteracting spin1/2 particles in
noncommuting external magnetic fields
Kunle Adegoke
Full text: Acrobat PDF
(118 KB)

We
obtain, in one dimension, all the energy levels of a system of
noninteracting spin$1/2$ particles in noncommuting external magnetic
fields. Examples of how to incorporate interactions as perturbations are
given for the Ising model in two orthogonal fields and for the $XZ$ model
in two orthogonal fields.

9

An open question: Are
topological arguments helpful in setting initial conditions for transport
problems and quantization criteria/ quantum computing for Density Wave
physics?
A.W. Beckwith
Full text: Acrobat PDF
(197 KB)

The
tunneling Hamiltonian is a proven method to treat particle tunneling
between different states represented as wavefunctions in manybody physics.
Our problem is how to apply a wave functional formulation of tunneling
Hamiltonians to a driven sineGordon system. We apply a generalization of
the tunneling Hamiltonian to charge density wave (CDW) transport problems
in which we consider tunneling between states that are wavefunctionals of a
scalar quantum field. We present derived IE curves that match Zenier
curves used to fit data experimentally with wavefunctionals congruent with
the false vacuum hypothesis. The open question is whether the coefficients
picked in both the wavefunctionals and the magnitude of the coefficients of
the driven sine Gordon physical system should be picked by topological
charge arguments that in principle appear to assign values that have a tie
in with the false vacuum hypothesis first presented by Sidney Coleman. Our
supposition is that indeed this is useful and that the topological
arguments give evidence as to a first order phase transition which gives
credence to the observed and calculated IE curve as evidence of a quantum
switching phenomena in density wave physics, one which we think with
further development would have applications to quantum computing, via
quantum coherent phase evolution, as outlined in this paper.

10

SelfOrganization and
Emergence in Neural Networks
Eliano Pessa
Full text: Acrobat PDF
(273 KB)

The
interest for neural networks stems from the fact that they appear as
universal approximators for whatever kind of nonlinear dynamical system of
arbitrary complexity. Because nonlinear systems, are studied mainly to
model selforganization and emergence phenomena, there is the hope that
neural networks can be used to investigate these phenomena in a simpler
way, rather than resorting to nonlinear mathematics, with its unsolvable
problems. In this contribution we will deal with the conditions granting
for the occurring of selforganization and emergence phenomena in neural
networks. We will present a number of arguments supporting the claim that
emergence is strictly connected to the presence of quantum features in
neural networks models.

11

Entanglement Revisited
Michail Zak
Full text: Acrobat PDF
(212 KB)

Quantumclassical hybrid
that preserves the topology of the Schr\"{o}dinger equation (in the
Madelung form), but replaces the quantum potential with other, specially
selected, function of probability density is introduced. Nonlocality
associated with a global geometrical constraint that leads to entanglement
effect is demonstrated. Despite such a quantumlike characteristic, the
hybrid can be of classical scale and all the measurements can be performed
classically. This new emergence of entanglement shed light on the concept
of nonlocality in physics. Application of hybrid systems to instantaneous
transmission of conditional information on remote distances is discussed.

12

Innerness of
$\rho$Derivations on Hyperfinite Von Neumann Algebras
Madjid Mirzavaziri and Mohammad Sal
Moslehian
Full text: Acrobat PDF (97
KB)

Suppose that $\calm,\caln$
are von Neumann algebras acting on a Hilbert space and $\calm$ is
hyperfinite. Let $\rho:{\calm}\to {\caln}$ be an ultraweakly continuous
$*$homomorphism and let $\delta:{\calm}\to{\caln}$ be a
$*$$\rho$derivation such that $\delta(I)$ commutes with $\rho(I)$. We
prove that there is an element $U$ in $\caln$ with $\U\\leq\\delta\$
such that $\delta(A)=U\rho(A)\rho(A)U$ for all $A\in{\calm}$.

13

A novel pseudo random bit
generator based on chaotic standard map and its testing
Vinod Patidar and K. K. Sud
Full text: Acrobat PDF
(412 KB)

During last one and half
decade an interesting relationship between chaos and cryptography has been
developed, according to which many properties of chaotic systems such as:
ergodicity, sensitivity to initial conditions/system parameters, mixing
property, deterministic dynamics and structural complexity can be
considered analogous to the confusion, diffusion with small change in
plaintext/secret key, diffusion with a small change within one block of the
plaintext, deterministic pseudo randomness and algorithmic complexity
properties of traditional cryptosystems. As a result of this close
relationship, several chaos based cryptosystems have been put forward since
1990. In one of the stages of the development of chaotic stream ciphers,
the application of discrete chaotic dynamical systems in pseudo random bit
generation has been widely studied recently. In this communication, we
propose a novel pseudo random bit generator (PRBG) based on two chaotic
standard maps running sidebyside and starting from random independent
initial conditions. The pseudo random bit sequence is generated by comparing
the outputs of both the chaotic standard maps. We also present the detailed
results of the statistical testing on generated bit sequences, done by
using two statistical test suites: the NIST suite and DIEHARD suite, which
are developed independently and considered the most stringent statistical
test suites to detect the specific characteristics expected of truly random
sequences.

14

Heisenberg Hamiltonian with
Second Order Perturbation for Spinel Ferrite Ultrathin Films
P. Samarasekara, M.K. Abeyratne and
S. Dehipawalage
Full text: Acrobat PDF
(135 KB)

The solution of Heisenberg
Hamiltonian with second order perturbation will be described for nonoriented
spinel cubic ferrimagnetic materials. The perturbation related to the
change of angle at the interface of two cells will be considered. The
energy peaks become sharper and peak position varies in energyangle curve
as N is increased from 2 to 3. But the separation between two consecutive
major maximums remains same. The 3D plot of total energy versus angle and
stress becomes smoother as N is increased from 2 to 3. The energy decreases
with number of layers indicating that the behavior of oriented and
nonoriented films is different. In N=2 case, minor maximums next to major
maximum can be observed. When second order anisotropy constant does not
vary within the film with N=2, film behaves as an oriented film.

15

Study of Superconducting State Parameters of Alloy
Superconductors
Aditya M. Vora
Full text: Acrobat PDF
(112 KB)

The theoretical study of the
superconducting state parameters (SSP) viz. electronphonon coupling
strength $\lambda $, Coulomb pseudopotential $\mu ^\ast $, transition
temperature $T_C $, isotope effect exponent $\alpha $ and effective
interaction strength $N_O V$ of PbTlBi alloys viz.
Tl$_{0.90}\,$Bi$_{0.10}\,$, Pb$_{0.40}\,$Tl$_{0.60}\,$,
Pb$_{0.60}\,$Tl$_{0.40}\,$, Pb$_{0.80}\,$Tl$_{0.20}\,$,
Pb$_{0.60}\,$Tl$_{0.20}\,$Bi$_{0.20}\,$, Pb$_{0.90}\,$Bi$_{0.10}\,$,
Pb$_{0.80}\,$Bi$_{0.20}\,$, Pb$_{0.70}\,$Bi$_{0.30}\,$,
Pb$_{0.65}\,$Bi$_{0.35}\,$ and Pb$_{0.45\,}$Bi$_{0.55}\,$ have been made
extensively in the present work using a model potential formalism for the
first time. A considerable influence of various exchange and correlation
functions on $\lambda $ and $\mu ^\ast $ is found from the present study.
The present results of the SSP are found in qualitative agreement with the
available experimental data wherever exist.

16

Riemann Zeta Function Zeros
Spectrum
Igor Hrncic
Full text: Acrobat PDF
(169 KB)

This paper shows that
quantum chaotic oscillator Hamiltonian $H=px$ generates Riemann zeta
function zeros as energy eigenvalues assuming validity of the Riemann
hypothesis. We further put this on a firmer ground proving rigorously the
Riemann hypothesis. We next introduce reformulation of special theory of
relativity by which chaotic oscillator motion described via Hamiltonian
$H=px$ is generated by gravitational potential, thus linking chaotic motion
and Riemann zeta function to gravity.

17

Gaussian Delay Models for
Light Broadenings and Redshifts
B. Lacaze
Full text: Acrobat PDF
(151 KB)

In astronomy light emission
is characterized by a frequency $\omega {0}/2\pi $, a redshift $z$
(sometimes a blueshift), a FWHM (Full Width Half Maximum) and an EW
(Equivalent Width). $\omega _{0}$ relates to the nature of the concerned
atom or molecule, $z$ allows to determine the speed and the distance of the
body through the Hubble law, FWHM measures the wave spectral width, and EW
defines a kind of SNR (SignaltoNoise Ratio). In this paper, we show that
Gaussian time delays on pure waves can theoretically explain the width of
emission lines, any redshift and a floor noise which can be matched to any
EW.

18

Eigenfunctions of Spinless Particles
in a Onedimensional Linear Potential Well
Nagalakshmi A. Rao and B. A. Kagali
Full text: Acrobat PDF
(91 KB)

In the present paper, we
work out the eigenfunctions of
spinless particles bound in a onedimensional linear finite range, attractive potential well,
treating it as a timelike component of a fourvector. We show that the
onedimensional stationary KleinGordon equation is reduced to a standard
differential equation, whose solutions, consistent with the boundary
conditions, are the parabolic cylinder functions, which further reduce to
the wellknown confluent hypergeometric functions.

Volume 6, Issue 21 (May 2009)
Full text: Acrobat PDF
1,502 KB)
Number

Articles Title

Abstract

1

Editorial
Ammar Sakaji
Full text: Acrobat PDF
(40 KB)


2

The TolmanRegge Antitelephone Paradox: Its
Solution by Tachyon Mechanics
E. RECAMI
Full text: Acrobat PDF
(112 KB)

The
possibility of solving (at least \in microphysics") all the ordinary
causal paradoxes devised for tachyons is not yet widely recognized; on the
contrary, the effectiveness of the StuckelbergFeynman switching principle
is often misunderstood. We want, therefore, to show in detail and
rigorously how to solve the oldest causal paradox, originally proposed by
Tolman, which is the kernel of so many further tachyon paradoxes. The key
to the solution is a careful application of tachyon kinematics, which can
be unambiguously derived from special relativity. A systematic, thorough
analysis of all tachyon paradoxes is going to appear elsewhere..
EJTP
is reproducing E. Recami's original paper: Lett. Nuovo Cimento, 44,
587 (1985).

3

New Physical Principle for MonteCarlo simulations
Michail Zak
Full text: Acrobat PDF
(104 KB)

New
physical principle for MonteCarlo simulations has been introduced. It is
based upon coupling of dynamical equations and the corresponding Liouville
equation. The proposed approach does not require a random number generator
since randomness is generated by instability of dynamics triggered and
controlled by the feedback from the Liouville equation. Direct simulation
of evolutionary partial differential equations have been proposed,
discussed, and illustrated.

4

First Passage Random Walk of Coupled
DetectorSystem Pairs and Quantum Measurement
Fariel Shafee
Full text: Acrobat PDF
(140 KB)

We
propose a new model for a measurement of a characteristic of a microscopic
quantum state by a large system that selects stochastically the different
eigenstates with appropriate quantum weights. Unlike previous works which
formulate a modified Schrödinger equation or an explicit modified
Hamiltonian, or more complicated mechanisms for reduction and decoherence
to introduce transition to classical stochasticity, we propose the novel
use of couplings to the environment, and random walks in the product
Hilbert space of the combined system, with first passage stopping rules,
which seem intuitively simple, as quantum weights and related stochasticity
is a commonality that must be preserved under the widest range of
applications, independent of the measured quantity and the specific
properties of the measuring device.

5

Underdeterminacy and Redundance in Maxwell's
Equations. I. The Origin of Gauge Freedom
Peter Enders
Full text: Acrobat PDF
(132 KB)

The gauge freedom in the
electromagnetic potentials indicates an underdeterminacy in Maxwell's
theory. This underdeterminacy will be found in Maxwell's (1864) original
set of equations by means of Helmholtz's (1858) decomposition theorem.
Since it concerns only the longitudinal electric field, it is intimately
related to charge conservation, on the one hand, and to the transversality
of free electromagnetic waves, on the other hand (as will be discussed in
Pt. II). Exploiting the concept of Newtonian and Laplacian vector fields,
the role of the static longitudinal component of the vector potential being
not determined by Maxwell's equations, but important in quantum mechanics
(AharonovBohm effect) is elucidated. These results will be exploited in
Pt.III for formulating a manifest gauge invariant canonical formulation of
Maxwell's theory as input for developing Dirac's (1949) approach to
specialrelativistic dynamics.

6

The Origin of Mass, Spin and Interaction
B.G. Sidharth
Full text: Acrobat PDF
(103 KB)

We
argue that a non commutative geometry at the Compton scale is at the root of mass,
Quantum Mechanical spin and QCD and electromagnetic interactions. It also
leads to a reconciliation of linearized General Relativity and Quantum
Theory.

7

Nonholonomic Ricci Flows and Parametric
Deformations of the Solitonic pp{Waves and Schwarzschild Solutions
Sergiu I. Vacaru
Full text: Acrobat PDF
(231 KB)

We
study Ricci flows of some classes of physically valuable solutions in
Einstein and string gravity. The anholonomic frame method is applied for
generic offdiagonal metric ansatz when the field/ evolution equations are
transformed into exactly integrable systems of partial differential
equations. The integral varieties of such solutions, in four and five
dimensional gravity, depend on arbitrary generation and integration
functions of one, two and/ or three variables. Certain classes of
nonholonomic frame constraints allow us to select vacuum and/or Einstein
metrics, to generalize such solutions for nontrivial string (for instance,
with antisymmetric torsion fields) and matter field sources. A very
important property of this approach (originating from Finsler and Lagrange
geometry but redefined for semiRiemannian spaces) is that new classes of
exact solutions can be generated by nonholonomic deformations depending on
parameters associated to some generalized Geroch transforms and Ricci flow
evolution. In this paper, we apply the method to construct in explicit form
some classes of exact solutions for multi{parameter Einstein spaces and
their nonholonomic Ricci flows describing evolutions/interactions of
solitonic pp{waves and deformations of the Schwarzschild metric. We explore
possible physical consequences and speculate on their importance in modern
gravity.

8

Relativistic Effects on Quantum Bell States of
Massive Spin 1/2 Particles
J. P. Singh
Full text: Acrobat PDF
(195 KB)

We
examine the behaviour of the maximally entangled Bell state of two spin 1/2 massive
particles under relativistic transformations. On the basis of explicit
calculations of the Wigner rotation and the use of transformation
properties of Dirac spinors, we establish that the constituent particles of
the Bell state undergo momentum dependent rotation of the spin orientations
characterized by the Wigner angle \phi _{W} =\tan ^{1} \frac{\sinh \varpi
\sinh \tau }{\cosh \varpi +\cosh \tau }. However, since local unitarity is
retained in the process, the corresponding entanglement fidelity is not
lost.

9

Partial Swapping, Unitarity
and Nosignalling
I. Chakrabarty, and B. S.
Choudhury
Full text: Acrobat PDF
(83 KB)

It
is a well known fact that a quantum state \psi(\theta,\phi)\rangle is
represented by a point on the Bloch sphere, characterized by two parameters
\theta and \phi. In a recent
work we already proved that it is impossible to partially swap these
quantum parameters. Here in this work we will show that this impossibility
theorem is consistent with principles like unitarity of quantum mechanics
and no signalling principle.

10

Time scale synchronization
between two different timedelayed systems
Dibakar Ghosh
Full text: Acrobat PDF
(381 KB)

In
this paper we consider time scale synchronization between two different
timedelay systems. Due to existence of intrinsic multiple characteristic
time scales in the chaotic time series, the usual definition for the
calculation of phase failed. To define the phase, we have used empirical
mode decomposition and the results are compared with those from continuous
wavelet transform. We investigate the generalized synchronization between
these two different chaotic time delay systems and find the existence
condition for the generalized synchronization. It has been observed that
the generalized synchronization is a weaker than the phase synchronization.
Due to the presence of scaling factor in the wavelet transform it has more
flexibility for application.

11

Thermodynamic Fluctuation
Theory and Gravitational Clustering of Galaxies
Mohd Shafi Khan, Naseer Iqbal and
Farooq Ahmad
Full text: Acrobat PDF
(100 KB)

We study the phase
transitions occurring in the gravitational clustering of galaxies on the
basis of thermodynamic fluctuation theory. This is because the fluctuations
in number and energy of the particles are constantly probing the
possibility of a phase transition. A calculation of various moments of the
fluctuating thermodynamic extensive parameters like the number and energy
fluctuations, has been performed. The correlated fluctuations \left<
\bigtriangleup N \bigtriangleup U \right>, have shown some interesting
results. For weak correlations, their ensemble average is positive,
indicating that a region of density enhancement typically coincides with a
region of positive total energy. Its perturbed kinetic energy exceeds its
perturbed potential energy. Similarly an underdense region has negative
total energy since it has preferentially lost the kinetic energy of the particles
that have fled. For larger correlations the overdense regions typically
have negative total energy, underdense regions have positive total energy.
The critical value at which this switch occurs is the critical temperature
T= T_C, whose value has been calculated analytically. At this critical
value T_C, a positive \left<\bigtriangleup N\right> is just as likely
to be associated with a positive or a negative \bigtriangleup U.

12

Neutrino Oscillation
Probability from TriBimaximality due to Planck Scale Effects
Bipin Singh Koranga
Full text: Acrobat PDF
(102 KB)

Current neutrino
experimental data on neutrino mixing are well describes by Tribimaximal
mixing, which is predicts sin^{2}\theta_{12}=1/3,; zero U_{e3} and
\theta_{23}=45^{o}. We consider the Planck scale operator on neutrino
mixing. We assume that the neutrino masses and mixing arise through physics
at a scale intermediate between Planck scale and the electroweak braking
scale. We also assume, that just above the electroweak breaking scale
neutrino mass are nearly degenerate and the mixing is tribimaximal.
Quantum gravity (Planck scale) effects lead to an effective SU(2)_{L}\times
U(1) invariant dimension5 Lagrangian symmetry involving Standard Model. On
electroweak symmetry breaking, this operator gives rise to correction to
the neutrino masses and mixings these additional terms can be considered as
perturbation to the tribimaximal neutrino mass matrix. We compute the
deviation of the three mixing angles and oscillation probability. We find
that the only large change in solar mixing angle and change in maximum P_{\mu e} is about
10%.

13

Representation of su(1,1)
Algebra and Hall Effect
J. Sadeghi and B. Pourhassan
Full text: Acrobat PDF
(88 KB)

In this paper we consider
the Schwinger and Heisenberg representation of su(1,1) algebra under Hall
effect. In presence of magnetic field, we obtain the generators of su(1,1)
algebra in terms of ladder operators, and magnetic field for the one and
two bosons system. Also the Casimir operator for both systems are obtained
by ladder operators.

14

Some LRS Bianchi Type VI0
Cosmological Models with Special Free Gravitational Fields
Raj Bali,
Ratna Banerjee, and S.K.Banerjee
Full text: Acrobat PDF
(104 KB)

The properties of the free
gravitational fields and their invariant characterizations are discussed
and also obtained LRS Bianchi type VI0 cosmological models imposing
different conditions over the free gravitational fields. Models thus formed
are then discussed in detail with respect to their physical and kinematical
parameters in the last section of the paper.

15

The Motion of A Test Particle in the Gravitational
Field of A Collapsing Shell
A. Eid, and A. M. Hamzay
Full text: Acrobat PDF
(115 KB)

We use the Israel
formalism to describe the motion of a test particle in the gravitational
field of a collapsing shell. The formalism is developed in both of
Schwarzchild and Kruskal coordinates.

Volume 6, Issue 22
(October 2009)
Full text: Acrobat PDF
3,190 KB)
Number

Articles Title

Abstract

1

Foreword
Ignazio Licata
Full text: Acrobat PDF
(30 KB)


2

Equivalence Principle and Field
Quantization in Curved Spacetime
H. Kleinert
Full text: Acrobat PDF
(93 KB)

To
comply with the equivalence principle, fields in curved spacetime can be
quantized only in the neighborhood of each point, where one can construct a
freely falling Minkowski frame with zero curvature. In each such frame, the
geometric forces of gravity can be replaced by a selfinteracting spin2
field, as proposed by Feynman in 1962. At a fixed distance $R$ from a black
hole, the vacuum in each freely falling volume element acts like a thermal
bath of all particles with Unruh temperature T_U=\hbar GM/2\pi c R^2. At
the horizon R=2GM/c^2, the falling vacua show the Hawking temperature
T_H=\hbar c^3/8\pi GMk_B

3

New SeibergWitten Fields Maps Through Weyl
Symmetrization and the Pure Geometric Extension of The Standard Model
N. Mebarki; F. Khelili and O. Benabbes
Full text: Acrobat PDF
(183 KB)

A
unified description of a symmetrized and antisymmetrized Moyal star
product of the noncommutative infinitesimal gauge transformations is
presented and the corresponding SeibergWitten maps are derived. Moreover,
the noncommutative covariant derivative, field strength tensor as well as
gauge transformations are shown to be consistently constructed not on the
enveloping but on the Lie and/or Poisson algebra. As an application, a pure
geometric extension of the standard model is shown explicitly.

4

A Method for Constructing a Lax Pair for the Ernst
Equation
C. J. Papachristou
and B. Kent Harrison
Full text: Acrobat PDF
(118 KB)

A
systematic construction of a Lax pair and an infinite set of conservation
laws for the Ernst equation is described. The matrix form of this equation
is rewritten as a differential ideal of (2,R)valued differential forms,
and its symmetry condition is expressed as an exterior equation which is
linear in the symmetry characteristic and has the form of a conservation
law. By means of a recursive process, an infinite collection of such laws
is then obtained, and the conserved ``charges'' are used to derive a linear
exterior equation whose components constitute a Lax pair.

5

Plane Symmetric Viscous Fluid Universe in Lyra
Geometry
Pratima Singh
and Pawan Kumar Rai
Full text: Acrobat PDF
(154 KB)

A new class of
planesymmetric homogeneous cosmological models for viscous fluid
distribution is obtained in the context of Lyra's geometry. We have
obtained two types of solutions by considering the uniform as well as time
dependent displacement field. To get the deterministic solutions of
Einstein's modified field equations, the free gravitational field is
assumed to be of type D which is of the next order in the hierarchy of
Petrov classification. It has been found that the displacement vector
$\beta$ behaves like cosmological term \Lambda in the normal gauge
treatment and the solutions are consistent with the observations. The
displacement vector \beta(t) affects entropy. Some physical and geometric
properties of the models are discussed.

6

Some Bianchi Type I Cosmological Models of the
Universe for Viscous Fluid Distribution in Lyra Geometry
Ravi Prakash Singh and Lallan Yadav
Full text: Acrobat PDF
(147 KB)

Some
Bianchi type I cosmological models of the universe with time dependent
gauge function $\beta$ for viscous fluid distribution within the framework
of Lyra geometry are investigated in which the expansion is considered only
in two dimensions i.e. one of the Hubble parameter (H_{1} =
\frac{\dot{A}}{A}) is zero. To get the deterministic solutions of
Einstein's modified field equations, the viscosity coefficient of bulk
viscous fluid is assumed to be a power function of mass density and the
coefficient of shear viscosity is considered as constant in first case
whereas in other case it is taken as proportional to scale of expansion in
the model. It has been found that the displacement vector \beta(t) behaves
like cosmological term \Lambda in the normal gauge treatment and the
solutions are consistent with the observations. Solution in absence of
shear viscosity is also obtained. The displacement vector \beta(t) affects
entropy. Some physical and geometrical properties of the models are discussed.

7

Geometrical Behaviuors of LRS Bianchi TypeI
Cosmological Model
Hassan Amirhashchi, Hishamuddin Zainuddin and Hamid Nil
Saz Dezfouli
Full text: Acrobat PDF
(84 KB)

By
using Einstein's theory of general relativity some properties of spatially
homogeneous locally rotationally symmetric (LRS) Bianchi typeI spacetime
are investigated in empty space. The concept of Riemannian curvature
tensor, Ricci tensor and Ricci scalar has been used to discuss the
geometrical behavior of the spacetime. It is shown that, LRS Bianchi
typeI has always flat geometry in empty space. Also we have shown that the
vacuum model does not have singularity when time goes to zero.

8

Bianchi Type V Bulk Viscous Cosmological Models
with Time Dependent Lambda Λ Term
J. P. Singh and P. S. Baghel
Full text: Acrobat PDF
(119 KB)

Spatially
homogeneous and anisotropic Bianchi type V spacetime with bulk viscous
fluid source and timedependent cosmological term are considered.
Cosmological models have been obtained by assuming a variation law for the
Hubble parameter which yields a constant value of deceleration parameter.
Physical and kinematical parameters of the models are discussed. The models
are found to be compatible with the results of cosmological observations.

9

Corrections to massive
neutrino masses, caused by vacuum polarisation in strong Coulomb field of
daughter nuclei in weak decays of heavy ions
N. Ivanov, P. Kienle, E. L.
Kryshen, and M. Pitschmann
Full text: Acrobat PDF
(159 KB)

We
calculate corrections to masses of massive neutrino masseigenstates, caused by
vacuum polarization in the strong
Coulomb fields of daughter heavy nuclei in the Kshell
electron capture decays (EC)
and positron (\beta^+) decays of highly ionized heavy ions, investigated
experimentally at GSI in
Darmstadt. Some applications of the obtained results are discussed.

10

Neutrino Mass Differences and
Nonunitarity of Neutrino Mixing Matrix from Interfering Recoil Ions
H. Kleinert and P. Kienle
Full text: Acrobat PDF
(222 KB)

We
show that the recent observation of the time modulation of twobody weak
decays of heavy ions reveals the
mass content of the
electron neutrinos via interference patterns in the recoiling ion wave
function. From the modulation period we derive the difference of the square
masses \Delta m^2\approx 22.5\times 10^{5}$\,eV${}^2, which is about 2.8
times larger than that derived from a combined analysis of KamLAND and
solar neutrino oscillation experiments. It is, however, compatible with a
data regime to which the KamLAND analysis attributes a smaller probability.
The experimental results displayed in Fig.~1 imply that the neutrino mixing
matrix violates unitarity by about 10\%.

11

Bifurcations of
fractionalorder diffusionless Lorenz system
Kehui Sun and J. C. Sprott
Full text: Acrobat PDF
(1,886 KB)

Using the
predictorcorrector scheme, the fractionalorder diffusionless Lorenz
system is investigated numerically. The effective chaotic range of the
fractionalorder diffusionless system for variation of the single control
parameter is determined. The route to chaos is by perioddoubling
bifurcation in this fractionalorder system, and some typical bifurcations
are observed, such as the flip bifurcation, the tangent bifurcation, an
interior crisis bifurcation, and transient chaos. The results show that the
fractionalorder diffusionless Lorenz system has complex dynamics with
interesting characteristics.

12

Underdeterminacy and
redundance in Maxwell’s Equations
Peter Enders
Full text: Acrobat PDF
(225 KB)

Maxwell's (1864) original
equations are redundant in their description of charge conservation. In the
nowadays used, 'rationalized' Maxwell equations, this redundancy is removed
through omitting the continuity equation. Alternatively, one can Helmholtz
decompose the original set and omit instead the longitudinal part of the
flux law. This provides at once a natural description of the transversality
of free electromagnetic waves and paves the way to eliminate the gauge
freedom. Poynting's inclusion of the longitudinal field components in his
theorem represents an additional assumption to the Maxwell equations.
Further, exploiting the concept of Newtonian and Laplacian vector fields,
the role of the static longitudinal component of the vector potential being
\emph{not} determined by Maxwell's equations, but important in quantum
mechanics (AharonovBohm effect) is elucidated. Finally, extending
Messiah's (1999) description of a gauge invariant canonical momentum, a
manifest gauge invariant canonical formulation of Maxwell's theory
\emph{without} imposing any contraints or auxiliary conditions will be
proposed as input for Dirac's (1949) approach to specialrelativistic
dynamics.

13

The Proton as A KerrNewman
Black Hole
Robert L. Oldershaw
Full text: Acrobat PDF
(72 KB)

The general equation
governing the mass, spin and angular momentum of a KerrNewman black hole
applies equally well to a proton when the gravitational coupling constant
predicted by a discrete fractal paradigm is used in the equation, along
with the standard mass, spin and angular momentum of the proton.

14

SelfInteracting Scalar Field
and Galactic Dark Halos
M. R. Bordbar and N. Riazi
Full text: Acrobat PDF
(217 KB)

We construct dark halo
models which are supported by a selfinteracting scalar field. The
possibility that the energy density of such a field which could produce
dark matter and dark energy inside and outside of the galactic dark halos
is explored.

15

Path Integral Quantization of The Electromagnetic
Field Coupled to A Spinor
Walaa. I. Eshraim and Nasser. I. Farahat
Full text: Acrobat PDF
(94 KB)

The
HamiltonJacobi approach is applied to the electromagnetic field coupled to
a spinor. The integrability conditions are investigated and the path
integral quantization is performed using the action given by
HamiltonJacobi approach.

16

Neutrino Mixing and Cosmological Constant above
GUT Scale
Bipin Singh Koranga
Full text: Acrobat PDF
(99 KB)

Neutrino
mixing lead to a non zero contribution to the cosmological constant. We
consider non renormalization $1/M_{x}$ interaction term as a perturbation
of the neutrino mass matrix. We find that for the degenerate neutrino mass
spectrum. We assume that the neutrino masses and mixing arise through
physics at a scale intermediate between Planck Scale and the electroweak
scale. We also assume, above the electroweak breaking scale, neutrino
masses are nearly degenerate and their mixing is bimaximal. Quantum
gravitational (Planck scale) effects lead to an effective $SU(2)_{L}\times
U(10$ invariant dimension5 Lagrangian involving neutrino and Higgs fields,
which gives rise to additional terms in neutrino mass matrix. There
additional term can be considered to be perturbation of the GUT scale
bimaximal neutrino mass matrix. We assume that the gravitational
interaction is flavour blind and we study the neutrino mixing and
cosmological constant due to physics above the GUT scale.

17

The Restricted Three Body Problem with Quadratic
Drag
Mayer Humi
Full text: Acrobat PDF
(207 KB)

When
an asteroid, spacecraft or another small object in the solar system is in
the vicinity of a planet it is subjected to the gravitational forces of the
Sun, the planet, the drag forces due to the solar wind and (possibly) the
planet upper atmosphere. To determine the object trajectory we consider
this problem within the context of the restricted three body problem in
three dimensions with quadratic drag. In this setting we linearize the
equations of motion of the object and cast them in a coordinate system with
respect to the secondary (planet) which is assumed to be in a general
Keplerian orbit around the primary (Sun). We then reduce them, to a simple
system of three second order linear differential equations. These equations
can be considered to be a generalization of Hill's equations to general
Keplerian orbits (of the secondary) with the addition of quadratic drag
force acting on the third object in the system. We derive also
"approximate conservation laws" in three dimensions which
represent a generalization of Jacobi's integral in two dimensions and
consider some special cases.

Volume 7, Issue 23 (March
2010)
Full text: Acrobat PDF
4,026 KB)
Number

Articles Title

Abstract

1

Preface
Ignazio Licata
Full text: Acrobat PDF
(29 KB)


2

Symmetry, Conserved Charges, and Lax
Representations of Nonlinear Field Equations: A Unified Approach
C. J. Papachristou
Full text: Acrobat PDF
(129 KB)

A
certain nonNoetherian connection between symmetry and integrability properties
of nonlinear field equations in conservationlaw form is studied. It is
shown that the symmetry condition alone may lead, in a rather
straightforward way, to the construction of a Lax pair, a doubly infinite
set of (generally nonlocal) conservation laws, and a recursion operator for
symmetries. Applications include the chiral field equation and the
selfdual YangMills equation.

3

Electroweak Standard Model at Finite Temperature
in Presence of A Bosonic Chemical Potential
Pena and C. Quimbay
Full text: Acrobat PDF
(168 KB)

We
study the electroweak standard model at finite temperature in presence of a
bosonic chemical potential associated with the conserved electromagnetic
current. To preserve the thermodynamic equilibrium of the system, the
thermal medium is neutralized by the introduction of four background
charges related to the four gauge bosons of this model. Using the
meanfield approximation, in the high temperature limit, we find that there
exists a difference between the effective mass of the spatial and temporal
components of the W boson. A W boson condensation induced via the
background charges allows to vanish this difference.

4

Electric Dipole Moment and Neutrino Mixing due to
Planck Scale Effects
Bipin Singh Koranga
Full text: Acrobat PDF
(97 KB)

In
this paper, we consider the effect of Planck scale operators on electric
dipole moment of the electron $de$. The electric dipole moment of the
electron, $de$ is known to vanish up to three loops in the standard model
with massless neutrinos We consider the Planck scale operator on neutrino
mixing. We assume that the neutrino masses and mixing arise through physics
at a scale intermediate between Planck scale and the electroweak breaking
scale. We also assume, that just above the electroweak breaking scale
neutrino mass are nearly degenerate and the mixing is bimaximal. Quantum
gravity (Planck scale) effects lead to an effective SU(2)_{L} U(1)
invariant dimension5 Lagrangian symmetry involving Standard Model. On
electroweak symmetry breaking, this operator gives rise to correction to
the neutrino masses and mixings these additional terms can be considered as
perturbation to the bimaximal neutrino mass matrix We assume that the
gravitational interaction is flavour blind and we study the neutrino mixing
and electric dipole moment due to the Planck scale effects.

5

Spinless Relativistic Particle in the Presence of
A Minimal Length
M. Merad, F. Zeroual, and H. Benzair
Full text: Acrobat PDF
(151 KB)

In this paper, we propose to
study the (1+1)dimensional KleinGordon equation in the presence of a
minimal length by two approaches: a method direct in the position space
representation and a path integral formalism in energymomentum space,
where a particle is subjected to a mixing of \ linear vector plus scalar
potentials. For a first method, a suitable approximation technique of a
nonrelativistic quantum mechanics has been applied and the shifts of the
relativistic energy levels is determined. For a second method, the Green
function is obtained, the energy spectrum together with the normalized wave
functions of the bound states are deduced \ and the limiting case is
considered. The results of both methods are compared and we find the same
dominant quantities to order 1 on parameter of deformation.

6

Astrophysical Chaotic Gun Effect
Gheorghe Dumitrescu
Full text: Acrobat PDF
(185 KB)

We
propose a kinetic equation for a special kind of acceleration: chaotic gun
effect. Then we infer a distribution function which can depict the
instability condition. With this distribution function we derive the power
spectrum of the synchrotron emission and we prove the power law form of the
power spectrum. We show that the spectral index of the emission spectrum is
related to the spectral index of the number of the charged particles in the
beam. Our numeric simulations show that the spectrum has a break at a
frequency threshold where the chaotic acceleration becomes efficient.
Assuming this threshold to the set on of the efficient chaotic gun effect
we estimate the magnetic strength .Our paper advocates an electromagnetic
process able to accelerate charged particles to high energies starting from
low energies. Assuming the highenergy particles spectra of Mkn 501 to be
produced by the synchrotron emission during chaotic gun effect we estimate
some parameters of the source.

7

Chaos in Quantum Chromodynamics and the Hadron Spectrum
Ervin Goldfain
Full text: Acrobat PDF
(114 KB)

We
present analytic evidence that the distribution of hadron masses follows
from the universal transition to chaos in nonequilibrium field theory. It
is shown that meson and baryon spectra obey a scaling hierarchy with
critical exponents ordered in natural progression. Numerical predictions
are found to be in close agreement with experimental data.

8

Towards The Determination of Properties of the
Unconventional Josephson Junction Made by Putting NonSuperconducting Strip
on the Top of Superconducting Strip
Krzysztof Pomorski and Przemyslaw Prokopow
Full text: Acrobat PDF
(1,652 KB)

We
present the theoretical approach to study the unconventional Josephson
junction (uJJ) made by putting the nonsuperconducting strip on the top of
superconducting strip. We work in the framework of the GinzburgLandau,
Bogoliubov de Gennes and Usadel equations. Then we solve the nonlinear
partial differential equations numerically for few simple cases. We review
the similarities and new aspects of uJJ with currently known Josephson
junctions. Basing on the obtained results and current knowledge on
Josephson junctions we point the future perspectives of the research on
uJJs.

9

An Interruption in the
Highway: New Approach to Modeling the CarTraffic
Amin Rezaeezadeh
Full text: Acrobat PDF
(285 KB)

A
very common phenomena in cartraffic system is investigated in this
article. The problem is onedimensional. We try to find the wave equation
of the traffic and then, we'll talk more about the simulation of the system
using Matlab7.6.

10

A generalization of the
ThreeDimensional Harmonic Oscillator Basis for Wave Functions with
NonGaussian Asymptotic Behavior
Maurizio De Sanctis
Full text: Acrobat PDF
(102 KB)

Starting
from the standard harmonic oscillator basis, we construct new sets of
orthonormal wave functions with
nonGaussian asymptotic spatial dependence. These new wave functions can be
used to study at numerical level twobody bound systems like mesons and
baryons within quarkdiquark models. Generalized hyperradial functions for
threequark models are also studied.

11

Exactly solved potentials
generated from the ManningRosen potential using extended transformation
method
S. A. S. Ahmed and L. Buragohain
Full text: Acrobat PDF
(113 KB)

Generation of exactly
solvable quantum systems in nonrelativistic quantum mechanics from an
already analytically solved quantum system is presented using extended
transformation method. The bound state quantized energy spectra and the
corresponding wavefunctions of the generated potentials are obtained. It is
also shown that eigenfunctions of the new quantum systems can easily be
normalized.

12

On the BoundState Spectrum
of A Nonrelativistic Particle in the Background of A ShortRanged Linear
Potential
L.B. Castro and A.S. de Castro
Full text: Acrobat PDF
(118 KB)

The nonrelativistic problem
of a particle immersed in a triangular potential well, set forth by N. A.
Rao and B. A. Kagali, is revised. It is shown that these researchers
misunderstood the full meaning of the potential and obtained a wrong
quantization condition. By exploring the space inversion symmetry, this work
presents the correct solution to this problem with potential applications
in electronics in a simple and transparent way.

13

Relativistic Spin Operator
with Observers in Motion
J. P. Singh
Full text: Acrobat PDF
(156 KB)

We obtain transformation
equations for the Bell basis states under an arbitrary Lorentz boost and
compute the expectation values of the relativistic center of mass spin
operator under each of these boosted states. We also obtain expectation
values for spin projections along the axes.

14

Statistical Mechanics of
Classical NParticle System of
Galaxies in the Expanding Universe
Farooq Ahmad and Abdul Wahid
Full text: Acrobat PDF
(101 KB)

For the distribution of
classical noninteracting particles we use MaxwellBoltzmann's statistics.
However, this statistics is not workable for classical interacting
particles (galaxies). We attempt to modify the MaxwellBoltzmann's
statistics by incorporating gravitational interaction term in it. The
number of ways in which Nparticles can have pair interaction due to
gravitational interaction is obtained. With the help of entropy
maximization we derive the analytical expression for occupation number.
Using the modified statistics we obtain the general expressions for
different thermodynamical quantities and attempt to derive general
distribution function for gravitating particles (galaxies).

15

On the Noncommutative Spacetime Bianchi I
Universe and Particles Pair Creation Process
N. Mebarki, L. Khodja and S. Zaim
Full text: Acrobat PDF
(155 KB)

Using
an approach of modified EulerLagrange field equations obtained from an
invariant action under infinitesimal modified general coordinates, local
Lorentz and U_{\ast }(1) gauge transformations together with the
corresponding SeibergWitten maps of the dynamical fields, a generalized
Dirac equation in the presence of a constant electric field and a
noncommutative cosmological anisotropic Bianchi I universe is derived and
the particles pair creation process is studied.

16

Cylindrically Symmetric Inhomogeneous String
Cosmological Models of Perfect Fluid Distribution with Electromagnetic
Fields
Anirudh Pradhan and Rekha Singh
Full text: Acrobat PDF
(139 KB)

Two
new cylindrically symmetric inhomogeneous string cosmological models are
investigated in presence of magnetic field. We have assumed that F_{12} is
the only nonvanishing component of electromagnetic field tensor F_{ij}.
The Maxwell's equations show that F_{12} is the function of $x$ alone
whereas the magnetic permeability \bar{\mu} is the function of x and t
both. To get the deterministic solution, it has been assumed that the
metric coefficients are separable in the form as A = f(x) \ell(t), B = g(x)
k(t), C = g(x) \nu(t). Also, the Einstein field equations have been solved
with string source in which magnetic field is absent. Some physical and
geometric aspects of the models in presence and absence of magnetic field
are discussed.

17

Some LRS Bianchi TypeII StringDust Cosmological
Models in General Relativity
Hassan Amirhashchi and Hishamuddin Zainuddin
Full text: Acrobat PDF
(98 KB)

Some LRS Bianchi typeII
string dust cosmological models are investigated in which the expansion
(\theta) is assumed to be proportional to the shear (\sigma). To obtain
exact solutions, the Einstein's field equations have been solved for two
cases (i) Reddy string and (ii) Nambu string. The physical and geometrical
behaviour of these models are discussed.

18

Relativistic Particle Motion and Radiation
Reaction in Electrodynamics
Richard T. Hammond
Full text: Acrobat PDF
(423 KB)

The
problem of radiation reaction and the self force is the oldest unsolved
mystery in physics. At times it is considered a minor issue, a malefactor
born of classical electrodynamics, while at other times it is public enemy
number one, a major inconsistency and unsolved problem. This work derives
some of the basic and most important results while reviewing some of the
other known approaches to the problem. Some historical notes are given, and
yet another approach is discussed that accounts for radiation reaction
without the unphysical behavior that plagues so many theories.

19

The Fundamental Equations of Point, Fluid and Wave Dynamics in the De
SitterFantappieArcidiacono Projective Relativity Theory
Leonardo Chiatti
Full text: Acrobat PDF
(186 KB)

A
review is presented of the fundamental equations of point, perfect
incompressible fluid and wave dynamics in the FantappieArcidiacono theory
of projective relativity, also known as ``De Sitter relativity''. Compared
to the original works, some deductions have been simplified and the
physical meaning of the equations has been analyzed in greater depth.

20

Geodesics of Deformed Relativity in Five
Dimensions
Fabio Cardone, Alessio Marrani and Roberto Mignani
Full text: Acrobat PDF
(471 KB)

In
a previous paper, we discussed the Killing symmetries of the
KaluzaKleinlike scheme known as Deformed Relativity in five dimensions
(DR5), based on a fivedimensional Riemannian space \mathcal{\Re }_{5} in
which the fourdimensional spacetime metric is deformed ({i.e.} it depends
on the energy) and energy plays the role of the fifth dimension. In the
present paper, we carry on the investigation of the main mathematical
aspects of DR5 by studying the geodesic motions in \mathcal{\Re }_{5}. In
particular, we consider the case of physical relevance in which the metric
coefficients are power functions of the energy (Power Ansatz). The geodesic
equations are solved explicitly for all the twelve 5d. metrics obtained as
solutions of the vacuum Einstein equations, and in particular for those
describing the four fundamental interactions. It is also shown that it is
possible, from the geodesic motion related to one of these PowerAnsatz
solutions, to get a timeenergy uncertainty relation of the Heisenberg
type.

21

Theory of Dirac Equation without Negative Energie
E. Trubenbacher
Full text: Acrobat PDF
(205 KB)

It
is shown that the wellknown Hermitean operator 'sign of frequency' for the
free Dirac equation has the physical meaning of 'sign of charge'. Since the
kinetic energy of a free particle should not depend on its charge state,
this identification requires a modification of the traditional quantum
mechanical 4momentum operators when used with Dirac spinors. Due to the
new 4momentum operators the Dirac equation has no negative energy
solutions\textbf{ }and the complex of problems associated with the latter
disappears from the theory. The quantum number 'sign of charge' rigorously
defines electronic and positronic plane waves. Second quantization of the
free Dirac equation does not need the traditional amendments required by
the negative energy values. As an example for the application of the theory
the relativistic hydrogen ground state wave function is analyzed with
respect to the quantum number 'sign of charge'. Since the operator 'sign of
charge' does not commute with the Coulomb potential the wave function is
only an approximate eigenfunction of
the operator 'sign of charge'. It is shown how one can construct
'effective potentials' that commute with the operator 'sign of charge' and
thus are able to produce eigenfunctions of charge when used in the Dirac
equation.

Volume 7, Issue 24
(October 2010)
Full text: Acrobat PDF (8,636
KB)
Number

Articles Title

Abstract

1

Editorial Notes
Ignazio Licata
Full text: Acrobat PDF
(21 KB)


2

Schrödinger's Cat Versus Darwin
Z. K. Silagadze
Full text: Acrobat PDF
(4,638 KB)

Sun Wuk’ung, an
immortal MonkeyKing of Chaos learns modern physics from the Patriarch
Bodhi and questions the Darwinian evolution. He finds that the modern
physics indicates towards the intelligent design as a vastly more probably
origin of humans than the random evolution by mutations and natural
selection.

3

Physical Methodology for Economic Systems Modeling
I.G. Tuluzov, and S. I. Melnyk
Full text: Acrobat PDF
(167 KB)

The
paper discusses the possibility of constructing economic models using the
methodology of model construction in classical mechanics. At the same time,
unlike the ``econophysical'' approach, the properties of economic models
are derived without involvement of any equivalent physical properties, but
with account of the types of symmetry existing in the economic system. It
has been shown that at this approach practically all known mechanical
variables have their ``economic twins''. The variational principle is
formulated on the basis of formal mathematical construction without
involving the subjective factor common to the majority of models in
economics. The dynamics of interaction of two companies has been studies in
details, on the basis of which we can proceed to modeling of more complex
and realistic economic systems. Prediction of the possibility of
constructing economic theory on the basis of primary principles analogously
to physics has been made.

4

The Study of Markets and Prices
 The
Thermodynamics Approach –
S. Prabakaran, and
Khalid Alkhathlan
Full text: Acrobat PDF
(101 KB)

Many
researchers have attempted to viaduct their fields with others to gain
insight into their own. In the past decade or so, physicists have begun to
do academic research in economics. Perhaps people are now actively involved
in an emerging field often called Econophysics. The scope of this paper is
to present a phenomenological analysis for Markets and prices with
Thermodynamics approach The main ambition of this study is fourfold: 1)
First we begin our description of a thermodynamics model of economics with
the simplest example. 2) To extend the thermodynamics approach to the study
of markets and prices. 3) The problem of the market equilibrium for the two
markets with two items of goods. 4) Finally we constructed the economic
model with the actual market at constant temperature And this paper end
with
conclusion.

5

Organization and Complexity in a Nested
Hierarchical SpinGlass like Social Space
Fariel Shafee
Full text: Acrobat PDF
(857 KB)

We lay mathematical
foundations for an interactionbased model for multiagent complex
systems. Emergence and
evolution of such systems are analyzed in light of the model. Various hierarchical levels within
such complex systems are observed and the nature of interactions among such
levels and among units within the levels are studied. The modification of the identities
of the units is also examined.
Scenarios are briefly mentioned from psychology and social history
to suggest possible future uses of the model and to substantiate the need
for an interactionphysics based model to understand complex social
phenomena.

6

Solution to a Problem Found by Calculating the
Magnetic Internal Energy Inside Nonextensive Statistical Mechanics
Felipe A. Reyes Navarro and Jaime Francisco V. Flores
Full text: Acrobat PDF
(83 KB)

Herein,
in the context of third version of nonextensive statistical mechanics, a
theory that generalizes the Boltzmann GibbsShannon's~statistics, we
display a solution for an anomaly found by calculating the internal energy
for a composite A+B, of 2 spines 1/2, with additive Hamiltonian H = H_{A}+
H_{B}. Specifically, the calculations of the internal energy in the full
Hilbert space is different from the calculations done in the Hilbert
subspaces, in other words, $U_{total}$ is different to U_{A} +U_{B}. We
carry out analytical calculations. The results exactly indicate that the alternative
method of matrices E_{A} and E_{B} is suitable for the calculations of the
internal energy. Consequently, the matrix that holds the physical
information of the system is {\rho }$^{q}.

7

Basins and Critical Curves Generated by A Family
of TwoDimensional Sine Maps
NasrEddine Hamri, and Yamina Soula
Full text: Acrobat PDF
(5,797 KB)

In
this work, we consider a family of twodimensional coupled sine maps. We
provide detailed pictures and some general properties of the associated
basin structures, the analysis of the global bifurcations which cause
qualitative changes in the shape of chaotic attractors and in the
topological structure of the basins is carried out by the method of
critical curves. We give the complex phenomena riddled and intermingled
basins of attraction. This problem may become particularly challenging when
the discrete dynamical system is represented by the iteration of a
noninvertible map, because in this case nonconnected or multiply connected
basins can be obtained. Coexistence of synchronized and antisynchronized
chaotic states [Maistrenko et al., $2005$].

8

Propagation of Dust Acoustic Solitary Waves in
Saturn Fring's Region
M. I. Abo el Maaty, E. K. ElShewy, H.G. Abdelwahed, and M. A.
Elmessary
Full text: Acrobat PDF
(1,073 KB)

Effect
of hot and cold dust charge on the propagation of dustacoustic waves
(DAWs) in unmagnetized plasma having electrons, singly charged ions, hot
and cold dust grains have been investigated. The reductive perturbation
method is employed to reduce the basic set of fluid equations to the
Kortewegde Vries (KdV) equation. The effect of cold (hot) dusty plasma
density n_{c (n_h ) and the charge numbers for negatively charged cold
(hot) dust Z_c \;(\;Z_h ) on the nature of DAWs are discussed.

9

DiffeomorphismInvariant
Noncommutative Gravity with Twisted Local Lorentz Invariance
Archil Kobakhidze
Full text: Acrobat PDF
(86 KB)

We
propose a new theory of gravitation on noncommutative spacetime which is
invariant under the general coordinate transformations, while the local
Lorentz invariance is realized as twisted gauge symmetry. Our theory is
remarkably simpler compared to the existing formulations of noncommutative
gravity.

10

Beams Propagation Modelled by
Bifilters
B. Lacaze
Full text: Acrobat PDF
(498 KB)

In
acoustic, ultrasonic or electromagnetic propagation, crossed media are
often modelled by linear filters with complex gains in accordance with the
BeerLambert law. This paper addresses the problem of propagation in media
where polarization has to be taken into account. Because waves are now
bidimensional, an unique filter is not sufficient to represent the effects
of the medium. We propose a model which uses four linear invariant filters,
which allows to take into account exchanges between components of the
field. We call it bifilter because it has two inputs and two outputs. Such
a circuit can be fitted to light devices like polarizers, rotators and
compensators and to propagation in free space. We give a generalization of
the BeerLambert law which can be reduced to the usual one in some cases
and which justifies the proposed model for propagation of electromagnetic
beams in continuous media.

11

Effect of Third Order
Perturbation on Heisenberg Hamiltonian for NonOriented UltraThin
Ferromagnetic Films
P. Samarasekara, and William A. Mendoza
Full text: Acrobat PDF
(151 KB)

Third order perturbation of
Heisenberg Hamiltonian has been investigated for ultrathin ferromagnetic
films with two and three layers in details. If the second and fourth order
anisotropy constants do not vary within the ultra thin film, films with two
layers behave as oriented ferromagnetic films. But when the anisotropy
constants change within the film, the films indicate nonzero second and
third order perturbations. But the films with three layers contribute
nonzero second and third order perturbations, even if the second and
fourth order anisotropy constants do not vary within the film. The easy and
hard directions of sc(001) ultrathin film with two layers and differed
second order anisotropy constants makes 32.4 and 122.4 with film normal,
respectively. The main easy and hard directions of sc(001) thin films of
three layers with the effect of second order anisotropy are 77 and 167, respectively.
After taking fourth order anisotropy into consideration, the positions of
maximums and minimums changes. Although the angle between easy and hard
directions is not $90^0$, the angle between any two consecutive maximums or
minimums is 180 in this case.

12

The Modified Dirac Equation
B. G. Sidharth
Full text: Acrobat PDF
(83 KB)

We consider the behavior of
particles at ultra relativistic energies, for both the KleinGordon and
Dirac equations. We observe that the usual description is valid for
energies such that we are outside the particle's Compton wavelength. For
higher energies however, both the KleinGordon and Dirac equations get modified
and this leads to some new effects for the particles, including the
appearance of anti particles with a slightly different energy.

13

Nonequilibrium Dynamics as
Source of Asymmetries in High Energy Physics
Ervin Goldfain
Full text: Acrobat PDF
(124 KB)

Understanding the origin of
certain symmetry breaking scenarios in highenergy physics remains an open
challenge. Here we argue that, at least in some cases, symmetry violation
is an effect of nonequilibrium dynamics that is likely to develop
somewhere above the energy scale of electroweak interaction. We also find
that, imposing Poincaré symmetry in nonequilibrium field theory,
leads to fractalization of spacetime continuum via perioddoubling
transition to chaos.

14

A Lie Algebraic Approach to
the Schrödinger Equation for Bound States of PöschlTeller
Potential
Subha Gaurab Roy, Joydeep Choudhury,
Nirmal Kumar Sarkar, Srinivasa Rao Karumuri and Ramendu Bhattacharjee
Full text: Acrobat PDF
(73 KB)

The application of Group
theoretical techniques to physical problems has a long and fruitful
history. Lie algebraic methods have been useful in the study of problems in
physics ever since Lie algebras were introduced by M.Sophus Lie (18421899)
at the end of the 19th century, especially after the development of quantum
mechanics. This is because quantum mechanics makes use of commutators [x,
P_x]= i\hbar, which are the defining ingredients of Lie algebras. The
theory of Lie groups and Lie algebras has become important not only in
explaining the behaviour of various physical systems but also in
constructing new physical theories. By identifying the suitable Spectrum
Generating Algebra (SGA) the problem of interest can be approached. A
Spectrum Generating Algebra exists when the Hamiltonian H can be expressed
in terms of generators of the algebra. As a consequence the solution of the
Schrödinger equation then becomes an algebraic problem which can be
attacked using the tools of group theory. Here in this paper we derive the
Schrödinger equation for the bound states of PöschlTeller
potential using Lie algebra.

15

Applications of Euclidian Snyder Geometry to the
Foundations of SpaceTime Physics
Andrew Beckwith
Full text: Acrobat PDF
(378 KB)

The
following document is to answer if higher dimensions add value to answering
fundamental cosmology questions. The results are mixed, 1^{st} with higher
dimensions apparently helping in reconstructing and preserving the value of
Planck's constant, and the fine structure constant from a prior to a
present universe, while 2^{nd}
failing to add anything different from four dimensional cosmological
models to the question of what would cause an increase in the expansion
rate of the universe, as of a billion years ago. Finally 3^{rd}, higher
dimensions may allow creation of a joint DM and DE model. A choice between
LQG and brane world geometry is introduced by Snyder geometry, where Snyder
geometry's minimum uncertainty length calculations \Delta x may help
determine to what extent gravity is an emergent field that is classical.
Independent of the choice of LQG and branes (four dimensions versus higher
dimensional cosmology models) is the following question: If gravity is
largely classical, how much nonlinearity is involved? Gravitons and their
structure as information carriers may help answer these questions. The main
point of this document: DM and DE may be unified in terms of cosmological
dynamics if the higher dimensional models of DM, as seen by KK towers of
gravitons are seen to be pertinent to increasing acceleration of the universe
a billion years ago via a 4^{th} dimensional small graviton mass term added
to the KK tower DM representation of gravitons (a model of DM).

16

On A RiemannHilbert Approach to Few Cycle
Solitons in Nonlinear Optics
Arindam Chakraborty and A. Roy Chowdhury
Full text: Acrobat PDF
(78 KB)

A
new integrable nonlinear equation recently derived in the domain of non
linear optics is analysed in the light of RiemannHilbert problem. Explicit
soliton solutions for the equation are obtained in case of both single and
two soliton regimes. Our analysis shows how to use the RiemannHilbert
procedure with or without utilizing the symmetry of the Lax pair.

17

Positive Energy Projectors and Spinors
Tomas Kopf, Jan Kotulek, and Alzbeta Lampartova
Full text: Acrobat PDF
(108 KB)

In spectral geometry,
physical concepts may become a source of geometric data. Here, we examine
the vacuum given by a complex structure on phase space. The vacuum provides
a soldering form for internal degrees of freedom providing them thus with
spatial significance and eventually allowing them to be interpreted as
spinors. To show more clearly the possibilities and limitations, the
example of a discretized torus is discussed.

18

New Gauge Symmetry in Gravity and the Evanescent
Role of Torsion
H. Kleinert
Full text: Acrobat PDF
(1,525 KB)

If
the EinsteinHilbert action
\L_\ EH\propto R is reexpressed in RiemannCartan spacetime using
the gauge fields of translations, the vierbein field $h^\alpha_\mu$, and the gauge field
of local Lorentz transformations, the spin connection A_{\mu \alpha}^ \beta
, there exists a new gauge symmetry which permits reshuffling the torsion,
partially or totally, into the Cartan curvature term of the Einstein
tensor, and back, via a { new multivalued gauge transformation\}. Torsion
can be chosen at will by an arbitrary gauge fixing functional. There exist
many equivalent ways of specifying the theory, for instance Einstein's
traditional way where L_{EH} is
expressed completely in terms
of the metric g_{\mu \nu }=h^ \alpha _\mu h_ \alpha _ \nu , and the torsion
is zero, or Einstein's teleparallel
formulation, where L_{ EH} is expressed in terms of the torsion
tensor, or an infinity of
intermediate ways. As far as the gravitational field in the farzone
of a celestial object is concerned, matter composed of spinning particles
can be replaced by matter with only orbital angular momentum, without
changing the longdistance forces, no matter which of the various new gauge
representations is used.

19

Phenomenological Analysis of Hadronic Regge
Trajectories
Shuchi Bisht, Navjot Hothi, and Gaurav Bhakuni
Full text: Acrobat PDF
(310 KB)

We
have analyzed the spectrum of hadrons by the latest data available through
the Particle Data Group, with the aim of pinpointing trajectories with
which hadronic resonances can be associated. It was recognized that the
entire range of Regge trajectories (RTs) for hadrons are not straight and
parallel lines. Out of total 66 plotted trajectories, 64.81{\%} are
essentially nonlinear, 27.78{\%} are essentially linear, while 7.41{\%}
are fairly linear. We have extracted a number of inherent parameters of
these RTs such as slopes, variance, string tension among quarks and have
deduced results which are both in coherence as well as in sharp contrast to
the conventional ones. Existence of 15 new resonance particles has been
predicted along with some of their intrinsic parameters. The flavor
dependence of RTs is also interrogated.

20

A Boubaker Polynomials Expansion Scheme Solution
to Random Love's Equation in the Case of a Rational Kernel
M. Agida, and A. S. Kumar
Full text: Acrobat PDF
(250 KB)

A
polynomial expansion scheme is proposed as an analytical method for solving
Love's integral equation in the case of a rational kernel. The tangible
advantage of the used method, namely the Boubaker polynomials expansion
scheme, is the proposition of a piecewise continuous infinitely derivable
solution. Comparison with some results proposed in the related literature
has been also carried out.

21

A Brief Historical Review of the Important
Developments in Lanczos Potential Theory
P. O'Donnell and H. Pye
Full text: Acrobat PDF
(136 KB)

In
this paper we review some of the research that has emerged to form Lanczos
potential theory. From Lanczos' pioneering work on quadratic Lagrangians,
which ultimately led to the discovery of his famed tensor, through to the
current developments in the area of exact solutions of the
Weyl—Lanczos equations, we aim to exhibit what are generally
considered to be the pivotal advances in the theory.

22

Final State Boundary Condition of Quantum Black
Holes at LHC
Mohammad Ebrahim Zomorrodian, and Alireza Sepehri
Full text: Acrobat PDF
(377 KB)

Final
state boundary condition of a system constructed with interacting Dirac
field and scalar field near the event horizon of a Schwarzchild metric is
analyzed.Also the transformation from the collapsing matter to the state of
outgoing Hawking radiation for scalar and dirac fields is calculated. By
extending this discussion to mini quantum black holes at LHC the effect of
information loss on the average number and cross section of top quarks
produced from a single black hole is considered.

23

Rational Galaxy Structure and its Disturbance
Jin He
Full text: Acrobat PDF
(662 KB)

Why
is there little dust in elliptical galaxies? Here is a promising answer. Firstly,
galaxies are rational. Rationality means that the density distribution of
stars is proportional. Secondly, galaxy arms are linearlyshaped and
irrational. The presence of arms is the disturbance to the rational disks
and bars. Therefore, any disturbance to rational structure produces cosmic
dust.

24

A Tilted Homogeneous Cosmological Model with
Disordered Radiations and Heat Conduction in Presence of Magnetic Field
Anita Bagora
Full text: Acrobat PDF
(89 KB)

Investigated
homogeneous magnetized cosmological model of perfect fluid distribution
having disordered radiation in the presence and absence of magnetic field.
To get a determinate solution, we have assumed that the universe is filled
with disordered radiation and a supplementary condition is A =(BC)^{n}
between metric potentials, n is constant. It has been shown that tilted
nature of the model is preserved due to magnetic field. The various
physical and geometrical aspects of the model are discussed. The nature of
the model in presence and absence of magnetic field is also discussed.

25

Some Bianchi Type IX Stiff Fluid Tilted Cosmological
Models with Bulk Viscosity in General Relativity
Raj Bali and Pramila Kumawat
Full text: Acrobat PDF
(101 KB)

Bianchi
type IX stiff fluid tilted cosmological models with bulk viscosity are
investigated. To get the deterministic model, we have assumed a supplementary
condition A = B^{n} where A and B are metric potentials and n is the
constant. The behaviour of the model in presence and absence of bulk
viscosity and other physical aspects are also discussed. To get the
deterministic solution in terms of cosmic time t, we have also discussed
the physical aspects of the model for n = 2.

26

Influence of the Irreducible Triplets on the
Velocity Distribution Of Galaxies
Farooq Ahmad, Aasifa Nazir, and Manzoor A. Malik
Full text: Acrobat PDF
(126 KB)

We
derive the velocity distribution function of galaxies from the partition
function inclusive of higher order contribution. Our result shows that the
effect of higher order contribution on the velocity distribution has an
appreciable effect only for small $N$, while for large $N$ the effect is
negligible, thus revalidating the earlier results. We also calculate the
density of energy states which gives probability for bound and virilized
system of galaxies.

27

Some Exact Bianchi TypeV Cosmological Models in
Scalar Tensor Theory: Kinematic Tests
Anirudh Pradhan, Sheel Kumar Singh
Full text: Acrobat PDF
(118 KB)

A
new class of a spatially homogeneous and anisotropic Bianchi typeV
cosmological models of the universe for perfect fluid distribution within
the framework of scalartensor theory of gravitation proposed by Saez and
Ballester is investigated by applying the law of variation for the
generalized mean Hubble's parameter that yields a constant value of
deceleration parameter. The variation for Hubble's parameter generates two
types of solutions for the average scale factor one is of powerlaw type
and other is of the exponential form. Using these two forms, Einstein's
field equations are solved separately that correspond to singular and
nonsingular models of the universe respectively. It is observed that for
positive value of deceleration parameter $q$ of the universe decelerates
whereas for negative value of $q$ the universe accelerates. Expressions for
lookback timeredshift, neoclassical tests (proper distance $d(z)$),
luminosity distance redshift and event horizon are derived and their
significance are described in detail. Some physical and geometrical
properties of the models are also discussed.

Volume 8, Issue 25 (May
2011)
Full text: Acrobat PDF (6,123
KB)
Number

Articles Title

Abstract

1

Editorial Notes
Ignazio Licata
Full
text: Acrobat PDF


2

Bogoliubov's
Foresight and Development of the ModernTheoretical Physics
A. L. Kuzemsky
Full
text: Acrobat PDF

A
brief survey of the author's works on the fundamental conceptual ideas of
quantum statistical physics developed by N. N. Bogoliubov and his school
was given. The development and applications of the method of quasiaverages to quantum statistical physics and
condensed matter physics
were analyzed. The
relationship with the concepts of broken symmetry, quantum protectorate and
emergence was examined, and the progress to date towards unified
understanding of complex manyparticle systems was summarized. Current
trends for extending and using these ideas in quantum field theory and
condensed matter physics were discussed, including microscopic theory of
superfluidity and superconductivity, quantum theory of magnetism of complex
materials, BoseEinstein condensation, chirality of molecules, etc.

3

Converting Divergent WeakCoupling into Exponentially Fast Convergent
StrongCoupling Expansions
Hagen Kleinert
Full
text: Acrobat PDF

With
the help of a simple variational procedure it is possible to convert the
partial sums of order N of many divergent series expansions
f(g)=\sum_{n=0}^\infty a_n g^n into partial sums \sum_{n=0}^N b_n g^{
\omega n}, where 0<\omega<1 is a parameter that parametrizes the
approach to the largeg limit. The latter are partial sums of a
strongcoupling expansion of f(g) which converge against f(g) for $g$ {\em
outside\/} a certain divergence radius. The error decreases exponentially
fast for large N, like e^{{\rm const.}\times N^{1\omega}}. We present a
review of the method and various applications.

4

HubbardStratonovich Transformation:Successes,
Failure, and Cure
Hagen Kleinert
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text: Acrobat PDF

We
recall the successes of the HubbardStratonovich Transformation (HST) of
manybody theory, point out its failure to cope with competing channels of
collective phenomena and show how to overcome this by Variational
Perturbation Theory. That yields exponentially fast converging results,
thanks to the help of a variety
of collective classical fields,
rather than a fluctuating collective quantum field as suggested by
the HST.

5

A Clarification on the Debate on ``the
Original Schwarzschild Solution''
Christian Corda
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text: Acrobat PDF

Now that English translations of
Schwarzschild's original paper exist, that paper has become accessible to more
people. Historically, the socalled standard Schwarzschild solution\char`
was not the original Schwarzschild's work, but it is actually due to J. Droste
and, independently, H. Weyl, while it has been ultimately enabled like
correct solution by D. Hilbert. Based on this, there are authors who claim
that the work of Hilbert was wrong and that Hilbert's mistake spawned
blackholes and the community of theoretical physicists continues to
elaborate on this falsehood, with a hostile shouting down of any and all
voices challenging them. In this paper we reanalyse the original Schwarzschild
solution\char` and we show that it is totally equivalent to the solution
enabled by Hilbert. Thus, the authors who claim that the original Schwarzschild
solution implies the non existence of black holes give the wrong answer. We
realize that the misunderstanding is due to an erroneous interpretation of
the different coordinates. In fact, arches of circumference appear to
follow the law dl=rd\varphi, if the origin of the coordinate system is a
nondimensional material point in the core of the blackhole, while they do
not appear to follow such a law, but to be deformed by the presence of the
mass of the central body M if the origin of the coordinate system is the
surface of the Schwarzschild sphere.

6

Entropy for Black Holes in the Deformed
HoravaLifshitz Gravity
Andres Castillo and Alexis Larra
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text: Acrobat PDF

We
study the entropy of black holes in the deformed HoravaLifshitz gravity
with coupling constant \lambda. For \lambda=1, the black hole resembles the
ReissnerNordstrom black hole with a geometric parameter acting like the
electric charge. Therefore, we obtain some differences in the entropy when
comparing with the Schwarzschild black hole. Finally, we study the heat
capacity and the thermodynamical stability of this solution.

7

Canonical Relational Quantum Mechanics from
Information Theory
Joakim Munkhammar
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text: Acrobat PDF

In
this paper we construct a theory of quantum mechanics based on Shannon
information theory. We define a few principles regarding informationbased
frames of reference, including explicitly the concept of information
covariance, and show how an ensemble of all possible physical states can be
setup on the basis of the accessible information in the local frame of
reference. In the next step the Bayesian principle of maximum entropy is utilized
in order to constrain the dynamics. We then show, with the aid of Lisi's
universal action reservoir approach, that the dynamics is equivalent to
that of quantum mechanics. Thereby we show that quantum mechanics emerges
when classical physics is subject to incomplete information. We also show
that the proposed theory is relational and that it in fact is a path
integral version of Rovelli's relational quantum mechanics. Furthermore we give
a discussion on the relation between the proposed theory and quantum
mechanics, in particular the role of observation and correspondence to
classical physics is addressed. In addition to this we derive a general
form of entropy associated with the information covariance of the local
reference frame. Finally we give a discussion and some open problems.

8

On the Logical Origins of Quantum Mechanics
Demonstrated By Using Clifford Algebra: A Proof that Quantum Interference
Arises in a Clifford Algebraic Formulation of Quantum Mechanics
Elio Conte
Full
text: Acrobat PDF

We
review a rough scheme of quantum mechanics using the Clifford algebra.
Following the steps previously published in a paper by another author [31],
we demonstrate that quantum interference arises in a Clifford algebraic
formulation of quantum mechanics. In 1932 J. von Neumann showed that
projection operators and, in particular, quantum density matrices can be
interpreted as logical statements. In accord with a previously obtained
result by V. F Orlov , in this paper we invert von Neumann's result.
Instead of constructing logic from quantum mechanics , we construct quantum
mechanics from an extended classical logic. It follows that the origins of
the two most fundamental quantum phenomena , the indeterminism and the
interference of probabilities, lie not in the traditional physics by itself
but in the logical structure as realized here by the Clifford algebra.

9

The EwaldOseen
Extinction Theorem in the Light of Huygens' Principle
Peter Enders
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text: Acrobat PDF

The
EwaldOseen extinction theorem states, that, inside a linear medium, the incident
electromagnetic wave is extinguished by its interference with a part of the
irradiation from the excited surface of the medium. This contradicts Huygens'
principle, according to which the incident wave is absent after having
excited the sources of the secondary wavelets. In this contribution, the
proof in Born & Wolf, Optics, is analyzed.

10

Market Fluctuations 
the Thermodynamics Approach
S. Prabakaran
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text: Acrobat PDF

A
thermodynamic analogy in economics is older than the idea of von Neumann to
look for market entropy in liquidity, advice that was not taken in any thermodynamic
analogy presented so far in the literature. In this paper, we go further
and use a standard approach in market fluctuation and develop a set of
equations which are a simple model for market fluctuation in a hypothetical
financial market.In the past decade or so, physicists have begun to do
academic research in economics. Perhaps people are now actively involved in
an emerging field often called Econophysics. The scope of this paper is to
present a phenomenological analysis for Market Fluctuations through
Thermodynamics approach The main ambition of this study is fourfold:
1)
First we begin our description with how market parameters vary with time by
using of simplest example. 2) To extend that the market fluctuations appears
with the enforced changes of macro parameters of the market and land speculations
with non existence.
3)
Next we derived the equation for how market fluctuates with respect to time
in an equilibrium state.
4)
Finally we analyze the how the fluctuations affects the perceptions of the
market agents on the future. And this paper end with conclusion.

11

Magnetized Bianchi Type
VI_{0} Bulk Viscous Barotropic Massive String Universe with Decaying Vacuum
Energy Density \Lambda
Anirudh Pradhan and Suman Lata
Full
text: Acrobat PDF

Bianchi type VI_{0} bulk viscous massive
string cosmological models using the technique given by Letelier (1983)
with magnetic field are investigated. To get the deterministic models, we
assume that the expansion (\theta) in the model is proportional to the shear
($\sigma$) and also the fluid obeys the barotropic equation of state. The
viscosity coefficient of bulk viscous fluid is assumed to be a power
function of mass density. The value of the vacuum energy density \Lambda is
observed to be small and positive at late time which is supported from
recent supernovae Ia observations. The behaviour of the models from
physical and geometrical aspects in presence and absence of magnetic field
is also discussed.

12

Position Vector Of
Biharmonic Curves in the 3Dimensional Locally \phiQuasiconformally
Symmetric Sasakian Manifold
Essin Turhan and Talat
Körpinar
Full
text: Acrobat PDF

In this paper, we study biharmonic curves
in locally % \phi quasiconformally symmetric Sasakian manifold. Firstly,
we give some characterizations for curvature and torsion of a biharmonic
curve in in locally \phi quasiconformally symmetric Sasakian manifold.
Moreover, we obtain the position vector of biharmonic curve in in locally
\phi % quasiconformally symmetric Sasakian manifold.

13

A Study of the
DiracSidharth Equation
Raoelina Andriambololona
and Christian Rakotonirina
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text: Acrobat PDF

The DiracSidharth equation has been
constructed from the Sidharth Hamiltonian by quantification of the energy
and momentum in Pauli algebra. We have solved this equation by using tensor
product of matrices.

14

Physical Vacuum as the
Source of Standard\\ Model Particle Masses
C. Quimbay and J. Morales
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text: Acrobat PDF

We present an approach of mass generation
for Standard Model particles in which fermions acquire masses from their
interactions with physical vacuum and gauge bosons acquire masses from
charge fluctuations of vacuum. A remarkable fact of this approach is that lefthanded
neutrinos are massive because they have a weak charge. We obtain
consistently masses of electroweak gauge bosons in terms of fermion masses
and running coupling constants of strong, electromagnetic and weak
interactions. On the last part of this work we focus our interest to
present some consequences of this approach as for instance we first show a
restriction about the possible number of fermion families. Next we
establish a prediction for top quark mass and finally fix the highest limit
for the summing of the square of neutrino masses.

15

Quantum Mechanics as
Asymptotics of Solutions of Generalized Kramers Equation
E. M. Beniaminov
Full
text: Acrobat PDF

We
consider the process of diffusion scattering of a wave function given on
the phase space. In this process the heat diffusion is considered only
along momenta. We write down the modified Kramers equation describing this
situation. In this model, the usual quantum description arises as asymptotics
of this process for large values of resistance of the medium per unit of mass
of particle. It is shown that in this case the process passes several
stages. During the first short stage, the wave function goes to one of
``stationary'' values. At the second long stage, the wave function varies
in the subspace of ``stationary'' states according to the Schrodinger
equation. Further, dissipation of the process leads to decoherence, and any
superposition of states goes to one of eigenstates of the Hamilton
operator. At the last stage, the mixed state of heat equilibrium (the Gibbs
state) arises due to the heat influence of the medium and the random
transitions among the eigenstates of the Hamilton operator. Besides that,
it is shown that, on the contrary, if the resistance of the medium per unit
of mass of particle is small, then in the considered model, the density of
distribution of probability \rho =\varphi ^2 satisfies the standard
Liouville equation, as in classical statistical mechanics.

16

Application of SU(1,1)
Lie algebra in connection with Bound States of PöschlTeller Potential
Subha Gaurab Roy
Raghunandan Das Joydeep Choudhury Nirmal Kumar Sarkar and Ramendu
Bhattacharjee
Full
text: Acrobat PDF

Exactly
solvable quantum mechanical potentials have attracted much attention since
the early days of quantum mechanics and the Schrödinger equation has
been solved for a large number of potentials by employing a variety of
methods. Here we consider a specific realization of SU(1,1) algebra and use
it to describe the bound states of P\"{o}schlTeller potential without
solving the Schrödinger equation for the mentioned potential.

17

Algebraic Aspects for Two
Solvable Potentials
Sanjib Meyur
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text: Acrobat PDF

We show that Lie algebras provide us with
an useful method for studying real eigenvalues corresponding to
eigenfunctions of Hamiltonian. We discuss the SU(2) Lie algebra. We also discuss the
eigenvalues for qdeformed PöschlTeller and Scarf potential via NikiforovUvarov
method.

18

Bound State Solutions of the Klein Gordon
Equation with the Hulthén
Potential
Akpan N. Ikot Louis E. Akpabio and Edet J.
Uwah
Full
text: Acrobat PDF

An
approximate solution of the KleinGordon equation for the Hulthén potential
with equal scalar and vector potential is presented. Using the new improved
approximation scheme to deal with the centrifugal term, we solve approximately
the KleinGordon equation via the Nikiforov—Uvarov method for an
arbitrary angular momentum quantum number. The corresponding eigen  energy
and eigen functions are also obtained for the swave bound state.

19

Chaotic dynamics of the Fractional Order\\
Nonlinear Bloch System
Nasreddine Hamri and Tarek Houmor
Full
text: Acrobat PDF

The
dynamic behaviors in the fractionalorder nonlinear Bloch equations were numerically
studied. Basic properties of the system have been analyzed by means of
Lyapunov exponents and bifurcation diagrams. The derivative order range
used was relatively broad. Regular motions (including period3 motion) and
chaotic motions were examined. The chaotic motion identified was validated
by the positive Lyapunov exponent.

20

A Criterion for the Stability Analysis of
Phase Synchronization in Coupled Chaotic System
Hadi Taghvafard and G. H. Erjaee
Full
text: Acrobat PDF

We
report phase synchronization for the coupled diffusionless Lorenz system
and for a new coupled chaotic system in four dimensional space. Stability
is also examined by applying a measure to the linearlized evaluation
difference matrix between coupled chaotic systems.

21

Synchronization of Different Chaotic
FractionalOrder Systems via Approached Auxiliary System the Modified Chua
Oscillator and the Modified Van der PolDuffing Oscillator
T. Menacer and N. Hamri
Full
text: Acrobat PDF

In
this paper we propose the study of synchronization between two different chaotic
fractionalorder systems via approached auxiliary system, we choose the
modified Chua oscillators as a master system and the modified Van der PolDuffing
oscillator (MVDPD) as a slave system, this method is also detected for both
well known systems Chen and Lu. Routh Hurwitz criterion is used for the
study of stability of error system between the masterslave systems.
Numerical results show the effectiveness of the theoretical analysis.

22

A Universal Nonlinear Control Law for the
Synchronization of Arbitrary 4D\ContinuousTime Quadratic Systems
Zeraoulia Elhadj and J. C. Sprott
Full
text: Acrobat PDF

In
this letter we show the existence of a universal nonlinear control law (without
any conditions) for the synchronization of arbitrary 4D continuoustime
quadratic systems.

23

On a General Class of Solutions of a
Nonholonomic Extension of Optical Pulse Equation
Pinaki Patra, Arindam Chakraborty and A. Roy Chowdhury
Full
text: Acrobat PDF

A
Nonholonomic extension of an equation obeyed by short pulse in nonlinear
optics is obtained. A general class of solutions of such an equation is
obtained with the help of RiemannHilbert technique.

24

Schwinger Mechanism for QuarkAntiquark
Production in the Presence of Arbitrary Time Dependent ChromoElectric
Field
Gouranga C. Nayak
Full
text: Acrobat PDF

We
study the Schwinger mechanism in QCD in the presence of an arbitrary
timedependent chromoelectric background field E^a(t) with arbitrary color
index a=1,2,...8 in SU(3).We obtain an exact result for the
nonperturbative quark (antiquark) production from an arbitrary E^a(t) by
directly evaluating the path integral. We find that the exact result is
independent of all the time derivatives \frac{d^nE^a(t)}{dt^n} where
n=1,2,...\infty. This result has the same functional dependence on two
Casimir invariants $[E^a(t)E^a(t)]$ and [d_{abc}E^a(t)E^b(t)E^c(t)]^2 as
the constant chromoelectric field $E^a$ result with the replacement: E^a
\rightarrow E^a(t). This result relies crucially on the validity of the
shift conjecture, which has not yet been established.

25

Relic Universe
M. Kozlowski and J. MarciakKozlowska
Full
text: Acrobat PDF

In
this paper we present the anthropic model calculation of the contemporary Universe.
The values of the radius Universe, velocity of expansion and acceleration
are calculated. In addition the cosmological parameter Lambda in de Sitter
Universe is calculated. We argue that the present Epoch Universe is the
Relic Universe. The future of the Universe is diagnosed and discussed.

26

Halo Spacetime
Mark D. Roberts
Full
text: Acrobat PDF

It
is shown that constant galactic rotation curves require a logarithmic
potential in both Newtonian and relativistic theory. In Newtonian theory
the density vanishes asymptotically, but there are a variety of
possibilities for perfect fluid Einstein theory.

27

Cfield Barotropic Fluid Cosmological Model
with Variable G in FRW spacetime
Raj Bali and Meghna Kumawat
Full
text: Acrobat PDF

Cfield
cosmological model with variable G for barotropic perfect fluid distribution
in flat FRW (FriedmannRobertsonWalker) spacetime is investigated. To get
the deterministic model of the universe, we assume that G = R^{n} where R
is scale factor and n is a constant. We find that the creation field (C)
increases with time, G and \rho (matter density) decreases with time and \frac{\dot
{G}}{G}={H(t)} where H is the Hubble parameter. These results match with
the observations.

28

TwoFluid Cosmological Models in Bianchi
TypeIII SpaceTime
K. S. Adhav S. M. Borikar, M. S. Desale,
and R. B. Raut
Full
text: Acrobat PDF

In
this paper we have studied anisotropic, homogeneous twofluid cosmological
models in a Bianchi type III spacetime. Here one fluid represents the
matter content of the universe and another fluid is chosen to model the CMB
radiation. These cosmological models depict two different scenarios of
cosmic history i.e. one when the radiation and matter content of the
universe are in interactive phase and another when the two are in
noninteracting phase.

29

Shell Closures and Structural Information
from Nucleon Separation Energies
C. Anu Radha V. Ramasubramanian and
E. James Jebaseelan Samuel
Full
text: Acrobat PDF

In
this work nuclei along N=Z line are of interest as transitions from
spherical to deformed shapes are expected to occur when going across the
medium mass region. In this respect a strong sudden shape transition
between deformation is predicted to occur in the region N=Z as well as
N$>$Z nuclei. New shell gaps are predicted using nucleon and twonucleon
separation energies and the shape evaluation are depicted by applying
triaxially deformed cranked Nilsson Strutinsky calculations. Nucleon
separation energy plays a major role in the prediction of new magicity in
the proton and neutron drip line nuclei.

30

Calculating Vacuum Energy as a Possible Explanation
of the Dark Energy
B. Pan
Full
text: Acrobat PDF

We
carried out a study of the properties of the \lambda \phi^4 field
solutions. By constructing Gaussian wave packets to calculate the $S$
matrix, we show that the probability of the vacuum unbroken state transfers
to the broken state is about 10^{52}. After adding this probability
restriction condition as modulation factor in the summation of vacuum
energy, we thus get a result that the vacuum energy density is about
10^{47}GeV^4, which is exact same as the observed dark energy density
value, and maybe served as a possible explanation of the dark energy. Also
our result shows that the vacuum energy density is proportional to the
square of the universe's age, which fits the Dirac large numbers
hypothesis.

31

Some Bianchi typeI Cosmic Strings in a
Scalar Tensor Theory of Gravitation
R.Venkateswarlu, J.Satish and K.Pavan Kumar
Full
text: Acrobat PDF

The
field equations are obtained in SenDunn theory of gravitation with the
help of LRS Bainchi typeI in the context of cosmic strings. We have solved
the field equations when the shear \sigma is proportional to the scalar
expansion \ theta. It is found that the cosmic do not exist with the scalar
field except for some special cases and hence vacuum solutions are presented
and discussed.

32

Gravitons Writ Large; I.E. Stability,
Contributions to Early Arrow of Time, and Also Their Possible Role in Re
Acceleration of the Universe 1 Billion Years Ago?
A. Beckwith
Full
text: Acrobat PDF

This
document is due to a question by Debasish of the Saha institute of India
asked in the Dark Side of the Universe conference, 2010, in Leon, Mexico,
and also is connected with issues as to the initial configuration of the
arrow of time brought up in both Rudn 10, in Rencontres de Blois, and Fundamental
Frontiers of Physics 11, in Paris, in July 2010. Further reference is made
as to how to reconcile early inflation with re acceleration, partly by
dimensional analysis and partly due to recounting a suggestion as by Yurov,
which the author thinks has merit and which ties into, to a point with
using massive gravitons as a re acceleration of the universe a billion
years ago enabler, as perhaps a variant of DE.

33

Dimensionless Constants and Blackbody
Radiation Laws
Ke Xiao
Full
text: Acrobat PDF

The fine
structure constant \alpha= {e}^{2}/\hbar c\approx1/137.036 and the
blackbody radiation constant \alpha_{R}={e}^{2}(a_{R}/k_{B}^{4})^{1/3}
\approx1/157.555 are two dimensionless constants, derived respectively from
a discrete atomic spectra and a continuous radiation spectra and linked by an
infinite prime product. The blackbody radiation constant governs large
density matter where oscillating charges emit or absorb photons that obey
the BoseEinstein statistics. The new derivations of Planck's law, the
StefanBoltzmann law, and Wein's displacement law are based on the fine
structure constant and a simple 3D interface model. The blackbody radiation
constant provides a new method to measure the fine structure constant and
links the fine structure constant to the Boltzmann constant.

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