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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

The various schemes for studying rigidly rotating perfect fluids in general relativity are reviewed. General conclusions one may draw from these are: (i) There is a need to restrict the scope of the possible ansatze, and (ii) the angular…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Z. Perjés

We present a solution to the time discontinuity paradox in rotating reference frames by postulating that time is periodic. A kinematic restriction is enforced that requires the discontinuity to be an integral number of the periodicity of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert D. Bock

A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse…

Mathematical Physics · Physics 2007-05-23 Chao Y. Yang

It is proved by means of the dynamical effects of special relativity that velocity caused by accelerating process is not a relative concept. The influence of accelerating process should be considered in space-time theory. Besides the…

General Physics · Physics 2007-05-23 Mei Xiaochun

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one…

History and Philosophy of Physics · Physics 2015-07-14 Allan Walstad

The rotating relativistic fermion system is considered. The consideration is based on the Dirac equation written in the laboratory (non - rotating) reference frame. Rotation in this approach gives rise to the effective magnetic and electric…

High Energy Physics - Phenomenology · Physics 2018-04-12 M. A. Zubkov

The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the weak-field regime with experiments in the Solar System and observations of binary pulsars. The…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Cosimo Bambi

In his recent paper published in the European Journal of Scientific Research 44, 4, 610-611 (2010), the author, Arthur Boltcho, claims to have found a mathematical disproof of relative time dilatation of Special Relativity Theory (SRT). In…

General Physics · Physics 2011-10-20 Christian Corda

We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations…

General Physics · Physics 2007-09-24 Bernhard Rothenstein , Stefan Popescu

In "Isotropy of Speed of Light" by Castano and Hawkins, arXiv:1103.1620, it is claimed, using a flawed theoretical argument, that the speed of light must necessarily be isotropic, independent even of experiment. The key false assumption…

General Physics · Physics 2011-03-14 Reginald T. Cahill

It has been more than a century since first Lorentz and later Einstein explored relativistic events and still important consequences of that remains unclear to everybody. The present study extensively focus on Lorentz (Length) contraction…

General Physics · Physics 2010-01-25 Bayram Akarsu

In this two-part paper, we review, and then develop, the assessment of the hole argument for general relativity. This first Part reviews the literature hitherto, focussing on the philosophical aspects. It also introduces two main ideas we…

History and Philosophy of Physics · Physics 2023-03-27 Henrique Gomes , Jeremy Butterfield

We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Beig , B. G. Schmidt

All experiments attempting to verify the invariance of speed of light directly are based on two-way speed measurement. The challenge in one-way speed measurement, the requirement of spatially separated synchronised clocks, can be possibly…

Classical Physics · Physics 2013-03-20 Evan John Philip

Exploring Einstein's theories of relativity in quantum systems, for example by using atomic clocks at high speeds can deepen our knowledge in physics. However, many challenges still remain on finding novel methods for detecting effects of…

Quantum Physics · Physics 2015-04-24 Wen-Te Liao , Sven Ahrens

Besides the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way velocity of light in all inertial frames of reference, the special theory of relativity employs another assumption. This…

High Energy Physics - Theory · Physics 2007-05-23 Jian-Miin Liu

Einstein's theory of general relativity was proposed over 100 years ago and has successfully passed a large number of observational tests in the weak field regime. However, the strong field regime is largely unexplored, and there are many…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Cosimo Bambi , Askar B. Abdikamalov , Dimitry Ayzenberg , Zheng Cao , Honghui Liu , Sourabh Nampalliwar , Ashutosh Tripathi , Jingyi Wang-Ji , Yerong Xu

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Slava G. Turyshev

A new approach in the Newtonian space and time, based upon the assumption that inertial mass is the quantitative measure of the matter. It has been shown that in case of a special physical system, a supposed matter transfer may reproduce…

General Physics · Physics 2013-08-13 P. Doleschall