scholarly journals Lorentz symmetry in QFT on quantum Bianchi I space-time

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Andrea Dapor ◽  
Jerzy Lewandowski ◽  
Yaser Tavakoli
Keyword(s):  
Lorentz Symmetry ◽  
Space Time ◽  
Bianchi I

scholarly journals Collision Space-Time.  Unified Quantum Gravity. Gravity is Lorentz Symmetry Break Down at the Planck Scale

2019 ◽  
Author(s):  
Espen Haug
Keyword(s):  
Wave Equation ◽  
Quantum Gravity ◽  
Planck Scale ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Gravity Theory ◽  
Relativistic Wave Equation ◽  
Relativistic Energy ◽  
Modern Physics ◽  
Heisenberg Uncertainty

We have recently presented a unified quantum gravity theory [1]. Here we extend on that work and present an even simpler version of that theory. For about hundred years, modern physics has not been able to build a bridge between quantum mechanics and gravity. However, a solution may be found here; we present our quantum gravity theory, which is rooted in indivisible particles where matter and gravity are related to collisions and can be described by collision space-time. In this paper, we also show that we can formulate a quantum wave equation rooted in collision space-time, which is equivalent to mass and energy.The beauty of our theory is that most of the main equations that currently exist in physics are not changed (in terms of predictions), except at the Planck scale. The Planck scale is directly linked to gravity and gravity is, surprisingly, actually a Lorentz symmetry as well as a form of Heisenberg uncertainty break down at the Planck scale. Our theory gives a dramatic simplification of many physics formulas without altering the output predictions. The relativistic wave equation, the relativistic energy momentum relation, and Minkowski space can all be represented by simpler equations when we understand mass at a deeper level. This not attained at a cost, but rather a reflection of the benefit in having gravity and electromagnetism unified under the same theory.

Bianchi-I cosmology within f(T): Reconstruction method and dynamical study

2020 ◽  
Vol 18 (01) ◽  
pp. 2150012
Author(s):  
C. Ainamon ◽  
M. G. Ganiou ◽  
H. F. Abadji ◽  
M. J. S. Houndjo
Keyword(s):  
Space Time ◽  
Anisotropic Fluid ◽  
Anisotropic Universe ◽  
Reconstruction Method ◽  
Dynamical Study ◽  
Bianchi I ◽  
Dynamical Behaviors ◽  
Modified Gravity Theories ◽  
Universe Evolution ◽  
Autonomous Dynamical System

This paper is fundamentally devoted to the cosmological reconstruction and dynamic studying in homogeneous BIANCHI-I space-time under the [Formula: see text] background. Its content is supported by the fact that in the General Relativity description of the standard cosmological paradigm, the evolution from an anisotropic universe into an Friedmann–Lemaitre–Robertson–Walker (FLRW) one can be achieved by a period of inflationary expansion. Nowadays, modified gravity theories like [Formula: see text] are widely accepted to provide a real description of some universe evolution phases like inflation era, matter-dominated era, etc. So, we aim to examine here what [Formula: see text] gravity model can accommodate with an anisotropic universe, an expanding universe and even the transition between both evolutions. To reach this goal, we use a reconstruction method based on dynamic equations in Bianchi-I space-time by assuming a particular form for the metric anisotropy and by specifying some time functions describing average scale factor. Most of the obtained models are consistent with certain known results in the literature but other add new results in this work. In the second part of this work, the dynamical behaviors of the Bianchi-I space-time are addressed through the reconstruction of an autonomous dynamical system. For an aleatory choice of anisotropic fluid, the numerical analysis of the system shows that the metric anisotropy decreases with expansion. Then, an attractor point is reached and becomes unstable by the end of inflation. Such interesting properties found in this work on Bianchi-I space-time are often interpreted as graceful exit from inflation which doesn’t occur in ordinary FLRW space-time.

scholarly journals Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

2016 ◽  
Vol 31 (07) ◽  
pp. 1650026 ◽  
Author(s):  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Cosmic String ◽  
Gordon Equation ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Klein Gordon ◽  
Lorentz Symmetry Breaking ◽  
Klein Gordon Equation

The behavior of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string space–time is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor [Formula: see text]. Then, by introducing a scalar potential as a modification of the mass term of the Klein–Gordon equation, it is shown that the Klein–Gordon equation in the cosmic string space–time is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein–Gordon equation can be obtained.

scholarly journals Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

2015 ◽  
Vol 30 (24) ◽  
pp. 1550141 ◽  
Author(s):  
M. F. Ghiti ◽  
N. Mebarki ◽  
H. Aissaoui
Keyword(s):  
Quantum Entanglement ◽  
Entanglement Entropy ◽  
Space Time ◽  
Pair Creation ◽  
Theory Approach ◽  
Quantum Field ◽  
Von Neumann ◽  
Curved Space ◽  
Bianchi I ◽  
Bogoliubov Transformations

The noncommutative Bianchi I curved space–time vierbeins and spin connections are derived. Moreover, the corresponding noncommutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion–antifermion pair creation quantum entanglement entropy is studied. It is shown that its behavior is strongly dependent on the value of the noncommutativity [Formula: see text] parameter, [Formula: see text]-modes frequencies and the structure of the curved space–time. Various discussions of the obtained features are presented.

A FIRST STUDY OF GENERIC CUBIC TERMS IN GRAVITATION THEORIES

1993 ◽  
Vol 02 (03) ◽  
pp. 257-278
Author(s):  
H. CAPRASSE ◽  
J. DEMARET ◽  
P. HOUBA
Keyword(s):  
Exact Solutions ◽  
Computer Algebra ◽  
Space Time ◽  
Cosmological Models ◽  
Gravitation Theory ◽  
Algebraic Equations ◽  
Field Equations ◽  
Time Dimension ◽  
Bianchi I ◽  
The Way

The generic cubic contributions to the Lagrangian of gravitation theory are considered. Field equations are determined and put in their simplest form. In the framework of Bianchi I cosmological models with a metric which is power-like in time, algebraic equations are obtained and their exact solutions are derived exploiting computer algebra techniques. These solutions are fully discussed. The analysis is, presently, essentially restricted to a space-time dimension equal to four but results obtained here open the way to an analysis in any dimension.

scholarly journals FIELD THEORY ON κ-MINKOWSKI SPACE REVISITED: NOETHER CHARGES AND BREAKING OF LORENTZ SYMMETRY

2008 ◽  
Vol 23 (18) ◽  
pp. 2687-2718 ◽  
Author(s):  
LAURENT FREIDEL ◽  
JERZY KOWALSKI-GLIKMAN ◽  
SEBASTIAN NOWAK
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Minkowski Space ◽  
Lorentz Invariance ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Field Equations ◽  
Conserved Charges ◽  
Lorentz Scalar ◽  
Free Scalar

This paper is devoted to detailed investigations of free scalar field theory on κ-Minkowski space. After reviewing necessary mathematical tools, we discuss in detail the Lagrangian and solutions of field equations. We analyze the space–time symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetries. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: there is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.

scholarly journals Non-minimal matter-geometry coupling in Bianchi I space-time

2018 ◽  
Vol 10 ◽  
pp. 738-742 ◽  
Author(s):  
Lokesh Kumar Sharma ◽  
Anil Kumar Yadav ◽  
P.K. Sahoo ◽  
Benoy Kumar Singh
Keyword(s):  
Space Time ◽  
Bianchi I
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