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The standard argument for the Lorentz invariance of the thermodynamic entropy in equilibrium is based on the assumption that it is possible to perform an adiabatic transformation whose only outcome is to accelerate a macroscopic body,…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Lorenzo Gavassino

There have been various varying speed of light (VSL) models with one free parameter, $b$, to characterize the time variation of the speed of light as a function of a scale factor, $c = c_0a^{b/4}$, based on the expanding universe. One needs…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-09 Seokcheon Lee

In this work, the relativistic phenomena of Lorentz contraction and time dilation are derived using a modified distance formula appropriate for discrete space. This new distance formula is different than Pythagoras's theorem but converges…

General Relativity and Quantum Cosmology · Physics 2018-10-10 David Crouse , Joseph Skufca

It was previously shown that models with deformations of special relativity that have an energy-dependent yet observer-independent speed of light suffer from nonlocal effects that are in conflict with observation to very high precision. In…

General Relativity and Quantum Cosmology · Physics 2010-05-05 Sabine Hossenfelder

A search of the literature reveals that none of the five new optical effects predicted by the special theory of relativity have ever been observed to occur in nature. In particular, the speed of light (c) has never been measured directly…

General Physics · Physics 2009-12-24 Daniel Y. Gezari

We propose a generalisation of the local causality principle of space-time, asserting that it holds for all regimes of motion, including superluminal motions. It assumes the existence of a countably infinite set of metrical null cone…

General Relativity and Quantum Cosmology · Physics 2019-06-07 Benjamin Calvo-Mozo

The relativistic Boltzmann equation for a constant differential cross section and with periodic boundary conditions is considered. The speed of light appears as a parameter $c>c_0$ for a properly large and positive $c_0$. A local existence…

Mathematical Physics · Physics 2009-11-10 Simone Calogero

In this contribution the question of the isotropy of the one-way speed of light from an experimental perspective is addressed. In particular, we analyze two experimental methods commonly used in its determination. The analysis is aimed at…

Classical Physics · Physics 2011-05-24 Israel Perez

If textbook Lorentz invariance is actually a property of the equations describing a sector of matter above some critical distance scale, several sectors of matter with different critical speeds in vacuum can coexist and an absolute rest…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified. A natural generalization of the…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Marco Mamone-Capria

The relationship between the harmonic mean and special relativity is concisely elucidated. The arguments in favor and against SRT are explored. It is shown that the ratio of the speed of light to the harmonic mean of the onward and return…

General Physics · Physics 2008-11-17 Chandru Iyer

According to some authors, gravity might be an emergent phenomenon in a fundamentally flat space-time. In this case the speed of light in the vacuum would not coincide exactly with the basic parameter "c" entering Lorentz transformations…

General Relativity and Quantum Cosmology · Physics 2013-11-19 M. Consoli , A. Pluchino

Recent observations of the fine structure of spectral lines in the early universe have been interpreted as a variation of the fine structure constant. From the assumed validity of Maxwell equations in general relativity and well known…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Asher Peres

The possibility of anisotropies in the speed of light relative to the limiting speed of electrons is considered. The absence of sidereal variations in the energy of Compton-edge photons at the ESRF's GRAAL facility constrains such…

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

General Physics · Physics 2008-09-24 Valery P. Dmitriyev

From an extended relativistic dynamics for a particle moving in a cosmic background field with temperature T, we aim to obtain the speed of light with an explicit dependence on the background temperature of the universe. Although finding…

General Relativity and Quantum Cosmology · Physics 2021-02-04 Cláudio Nassif Cruz , Antônio Carlos Amaro de Faria

The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale $M$, which was carried out at first order in $M$ in Phys.Rev. D86, 084032 (2012), is extended to second order. This can be done…

High Energy Physics - Theory · Physics 2016-10-07 J. M. Carmona , J. L. Cortes , J. J. Relancio

The speed of light is usually taken as one of the fundamental constants. String, and field, theories appear to require the altercation of this constant into a functional form $E(m,c)$ which is not $E=mc^2$. The analysis requires the…

General Physics · Physics 2007-05-23 Gordon Chalmers

The purpose of this letter is to show, on the one hand, how the so-called train paradox could be resolved directly without appealing to non-linear Lorentz transformations. The resolution is established in the most general case of…

Mathematical Physics · Physics 2009-11-10 M. Azreg-Ainou

We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of the Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to…

Classical Physics · Physics 2014-08-01 H. Arodź