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Related papers: Dispersion relations in finite-boost DSR

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In the context of quantum gravity phenomenology, we study the Unruh effect in the presence of superluminal dispersion relations. In particular, we estimate the response function and the probability rate for an accelerated detector coupled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Massimiliano Rinaldi

The kinematics of a particle with the upper bound on the particle's speed (a modification of classical kinematics where such a restriction is absent) has been developed in [arXiv:1204.5740]. It was based solely on classical mechanics…

General Physics · Physics 2014-07-25 Alex Granik

A phase space treatment of special relativity of quantum systems is developed. In this approach a quantum particle remains localized if subject to inertial transformations, the localization occurring in a finite phase space area. Unlike…

Quantum Physics · Physics 2008-03-07 Daniela Dragoman

We derive a luminosity distance formula for the varying speed of light (VSL) theory which involves higher order characteristics of expansion such as jerk, snap and lerk which can test the impact of varying $c$ onto the evolution of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-04 Adam Balcerzak , Mariusz P. Dabrowski

This paper completes and comments on some aspects of our previous publications. In ref [1], we have derived a set of space-time transformations referred to as the extended space-time transformations. These transformations, which assume the…

General Physics · Physics 2008-03-27 Joseph Levy

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

General Physics · Physics 2007-10-17 Bernhard Rothenstein , Stefan Popescu

We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. The postulate of the light velocity…

General Physics · Physics 2023-02-21 Congjun Wu

The dispersion relation of de Sitter special relativity is obtained in a simple and compact form, which is formally similar to the dispersion relation of ordinary special relativity. It is manifestly invariant under change of scale of mass,…

General Relativity and Quantum Cosmology · Physics 2015-03-19 J. P. Beltran Almeida , C. S. O. Mayor , J. G. Pereira

Recently there have been several studies devoted to the investigation of the fate of fundamental relativistic symmetries at the foreseen unification of gravity and quantum regime, that is the Planck scale. In order to preserve covariance of…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Marco Danilo Claudio Torri

In general the speed of Gravitational Waves (GWs) in Scalar-Tensor modifications of Einstein's gravity is different from the speed of Light. Nevertheless, it has been measured that their speeds are nearly the same. For the most general…

High Energy Physics - Theory · Physics 2025-05-09 S. Mironov , A. Shtennikova , M. Valencia-Villegas

We tackle the problem of the accelerating universe by reconsidering the most general form of the metric when the speed of light is allowed to evolve with time in a homogeneous and isotropic universe. A new varying speed of light (VSL) model…

General Relativity and Quantum Cosmology · Physics 2007-07-17 Corrado Appignani

We discuss the definition of velocity as dE/dp, where E,p are the energy and momentum of a particle, in Doubly Special Relativity (DSR). If this definition matches dx/dt appropriate for the space-time sector, then space-time can in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Aloisio , A. Galante , A. F. Grillo , E. Luzio , F. Mendez

The general theory of relativity (GR) is symmetric under smooth coordinate transformations, also known as diffeomorphisms. The general coordinate transformation group has a linear subgroup denoted as the Lorentz group of symmetry, which is…

General Physics · Physics 2020-12-09 Asher Yahalom

We study propagation effects due to the finite speed of light in ionization of extended systems. We present a general quantitative theory of these effects and show under which conditions such effects should appear. The finite speed of light…

Atomic Physics · Physics 2021-07-14 I. A. Ivanov , Anatoli S. Kheifets , Kyung Taec Kim

Quantum gravity is studied in a semiclassical approximation and it is found that to first order in the Planck length the effect of quantum gravity is to make the low energy effective spacetime metric energy dependent. The diffeomorphism…

High Energy Physics - Theory · Physics 2009-11-11 Lee Smolin

We study the application of the recently proposed framework of relative locality to the problem of energy dependent delays of arrival times of photons that are produced simultaneously in distant events such as gamma ray bursts. Within this…

High Energy Physics - Theory · Physics 2011-03-30 Laurent Freidel , Lee Smolin

We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal…

High Energy Physics - Theory · Physics 2023-07-12 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Benjamin Withers

A new method of derivation of Lorentz Transformation (LT) is given based on both axioms of special relativity (SR) and physical intuitions. The essence of the transformation is established and the crucial role played by the presumptions is…

General Physics · Physics 2015-06-16 Farid Shahandeh

We consider transformations between uniformly accelerated systems, assuming that the Clock Hypothesis is false. We use the proper velocity-time description of events rather than the usual space-time description in order to obtain linear…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yaakov Friedman , Yuriy Gofman

The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a…

General Physics · Physics 2017-09-21 J. A. S. Lima , F. D. Sasse