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Number
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Articles Title
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Abstract
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1
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Editorial Notes
Ignazio Licata
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2
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Bogoliubov's
Foresight and Development of the ModernTheoretical Physics
A. L. Kuzemsky
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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
many-particle 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,
Bose-Einstein condensation, chirality of molecules, etc.
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3
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Converting Divergent Weak-Coupling into Exponentially Fast Convergent
Strong-Coupling Expansions
Hagen Kleinert
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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 large-g limit. The latter are partial sums of a
strong-coupling 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.
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4
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Hubbard-Stratonovich Transformation:Successes,
Failure, and Cure
Hagen
Kleinert
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We recall
the successes of the Hubbard-Stratonovich Transformation (HST) of many-body
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.
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5
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A Clarification on the Debate on ``the Original
Schwarzschild Solution''
Christian Corda
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Now that English translations of
Schwarzschild's original paper exist, that paper has become accessible to more
people. Historically, the so-called 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
black-holes 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 re-analyse 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
non-dimensional material point in the core of the black-hole, 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.
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6
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Entropy for Black Holes in the Deformed
Horava-Lifshitz Gravity
Andres Castillo and Alexis Larra
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We
study the entropy of black holes in the deformed Horava-Lifshitz gravity
with coupling constant \lambda. For \lambda=1, the black hole resembles the
Reissner-Nordstrom 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.
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7
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Canonical Relational Quantum Mechanics from
Information Theory
Joakim Munkhammar
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In
this paper we construct a theory of quantum mechanics based on Shannon
information theory. We define a few principles regarding information-based
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.
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8
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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
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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.
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9
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The Ewald-Oseen
Extinction Theorem in the Light of Huygens' Principle
Peter Enders
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The
Ewald-Oseen 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.
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10
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Market Fluctuations --
the Thermodynamics Approach
S. Prabakaran
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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.
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11
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Magnetized Bianchi Type
VI_{0} Bulk Viscous Barotropic Massive String Universe with Decaying Vacuum
Energy Density \Lambda
Anirudh Pradhan and Suman Lata
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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.
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12
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Position Vector Of
Biharmonic Curves in the 3-Dimensional Locally \phi-Quasiconformally
Symmetric Sasakian Manifold
Essin Turhan and Talat K?nar
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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.
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13
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A Study of the
Dirac-Sidharth Equation
Raoelina Andriambololona
and Christian Rakotonirina
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text: Acrobat PDF
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The Dirac-Sidharth 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.
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14
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Physical Vacuum as the
Source of Standard\\ Model Particle Masses
C. Quimbay and J. Morales
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text: Acrobat PDF
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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 left-handed
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.
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15
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Quantum Mechanics as
Asymptotics of Solutions of Generalized Kramers Equation
E. M. Beniaminov
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text: Acrobat PDF
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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.
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16
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Application of SU(1,1)
Lie algebra in connection with Bound States of P?l-Teller Potential
Subha Gaurab Roy
Raghunandan Das Joydeep Choudhury Nirmal Kumar Sarkar and Ramendu
Bhattacharjee
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text: Acrobat PDF
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Exactly
solvable quantum mechanical potentials have attracted much attention since
the early days of quantum mechanics and the Schr?ger 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}schl-Teller potential without
solving the Schr?ger equation for the mentioned potential.
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17
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Algebraic Aspects for Two
Solvable Potentials
Sanjib Meyur
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text: Acrobat PDF
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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 q-deformed P?l-Teller and Scarf potential via Nikiforov-Uvarov
method.
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18
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Bound State Solutions of the Klein Gordon
Equation with the Hulth?o:p>
Potential
Akpan N. Ikot Louis E. Akpabio and Edet J.
Uwah
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text: Acrobat PDF
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An
approximate solution of the Klein--Gordon equation for the Hulth?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 Klein--Gordon 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 s-wave bound state.
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19
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Chaotic dynamics of the Fractional Order\\
Nonlinear Bloch System
Nasr-eddine Hamri and Tarek Houmor
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text: Acrobat PDF
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The
dynamic behaviors in the fractional-order 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 period-3 motion) and
chaotic motions were examined. The chaotic motion identified was validated
by the positive Lyapunov exponent.
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20
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A Criterion for the Stability Analysis of
Phase Synchronization in Coupled Chaotic System
Hadi Taghvafard and G. H. Erjaee
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text: Acrobat PDF
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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.
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21
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Synchronization of Different Chaotic
Fractional-Order Systems via Approached Auxiliary System the Modified Chua
Oscillator and the Modified Van der Pol-Duffing Oscillator
T. Menacer and N. Hamri
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In
this paper we propose the study of synchronization between two different chaotic
fractional-order systems via approached auxiliary system, we choose the
modified Chua oscillators as a master system and the modified Van der Pol-Duffing
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 master-slave systems.
Numerical results show the effectiveness of the theoretical analysis.
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22
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A Universal Nonlinear Control Law for the
Synchronization of Arbitrary 4-D\Continuous-Time Quadratic Systems
Zeraoulia Elhadj and J. C. Sprott
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text: Acrobat PDF
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In this
letter we show the existence of a universal nonlinear control law (without
any conditions) for the synchronization of arbitrary 4-D continuous-time
quadratic systems.
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23
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On a General Class of Solutions of a
Nonholonomic Extension of Optical Pulse Equation
Pinaki Patra, Arindam Chakraborty and A. Roy Chowdhury
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A
Nonholonomic extension of an equation obeyed by short pulse in non-linear
optics is obtained. A general class of solutions of such an equation is
obtained with the help of Riemann-Hilbert technique.
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24
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Schwinger Mechanism for Quark-Antiquark
Production in the Presence of Arbitrary Time Dependent Chromo-Electric
Field
Gouranga C. Nayak
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text: Acrobat PDF
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We
study the Schwinger mechanism in QCD in the presence of an arbitrary
time-dependent chromo-electric background field E^a(t) with arbitrary color
index a=1,2,...8 in SU(3).We obtain an exact result for the
non-perturbative 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 chromo-electric 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.
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25
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Relic Universe
M. Kozlowski and J. Marciak-Kozlowska
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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.
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26
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Halo Spacetime
Mark D. Roberts
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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.
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27
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C-field Barotropic Fluid Cosmological Model
with Variable G in FRW space-time
Raj Bali and Meghna Kumawat
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text: Acrobat PDF
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C-field
cosmological model with variable G for barotropic perfect fluid distribution
in flat FRW (Friedmann-Robertson-Walker) space-time 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.
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28
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Two-Fluid Cosmological Models in Bianchi
Type-III Space-Time
K. S. Adhav S. M. Borikar, M. S. Desale, and
R. B. Raut
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text: Acrobat PDF
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In
this paper we have studied anisotropic, homogeneous two-fluid cosmological
models in a Bianchi type III space-time. 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
non-interacting phase.
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29
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Shell Closures and Structural Information from
Nucleon Separation Energies
C.
Anu Radha V. Ramasubramanian and E. James Jebaseelan Samuel
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text: Acrobat PDF
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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 two-nucleon
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.
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30
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Calculating Vacuum Energy as a Possible
Explanation of the Dark Energy
B. Pan
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text: Acrobat PDF
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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.
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31
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Some Bianchi type-I Cosmic Strings in a
Scalar --Tensor Theory of Gravitation
R.Venkateswarlu, J.Satish and K.Pavan Kumar
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text: Acrobat PDF
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The
field equations are obtained in Sen--Dunn theory of gravitation with the
help of LRS Bainchi type-I 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.
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32
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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
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text: Acrobat PDF
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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.
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33
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Dimensionless Constants and Blackbody
Radiation Laws
Ke Xiao
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text: Acrobat PDF
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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 Bose-Einstein statistics. The new derivations of Planck's law, the
Stefan-Boltzmann 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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