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Starting from a suggestion of Einstein on the construction of the concept of space, we elaborate an intrinsic method to obtain space and time transformations between two inertial spaces of reference, mathematically modeled as affine…

General Physics · Physics 2007-05-23 Nilo C. Bobillo-Ares , Carlos Dehesa-Martinez

To consider a medium carrying light and electromagnetic waves is impossible, when this medium shall have properties according to the principle of constant speed of light, that is, isotropy of speed of light in every system of reference.…

General Physics · Physics 2007-05-23 Herbert Weiss

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero

This paper constitutes a background to the paper 'Quantum mechanics as "space-time statistical mechanics"?', arXiv:quant-ph/0501133, presented previously by the author. But it is also a free-standing and self-contained paper. The purpose of…

Classical Physics · Physics 2009-02-01 Anders Månsson

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

As shown by the development of Special Relativity the simultaneity concept should be related to that of reference frame. Poincare' proposed to define the simultaneity of two events by means of light signals following what is nowadays known…

General Relativity and Quantum Cosmology · Physics 2012-03-05 E. Minguzzi

Based on a linear realization formulation of a quantum relativity -- the proposed relativity for quantum `space-time', we introduce the Poincar\'e-Snyder relativity and Snyder relativity as relativities in between the latter and the well…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Otto C. W. Kong , Hung-Yi Lee

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

Many authors noted that the principle of relativity together with space-time homogeneity and isotropy restrict the form of the coordinate transformations from one inertial frame to another to being Lorentz-like. The equations contain a free…

General Physics · Physics 2019-10-25 Alon Drory

In this paper I argue for a reassessment of special relativity. The fundamental theory of relativity applicable in this Universe has to be consistent with the existence of the massive Universe, and with the effects of its gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. S. Unnikrishnan

Einstein's argument on the relativity of simultaneity itself is the first result of the special theory of relativity. The nature of this result is explored, and implications of this result for the structure and functioning of the physical…

General Physics · Physics 2007-05-23 D. M. Snyder

Based on the principle of relativity with two universal constants (c, l) and in the inertial motion group IM(1,3)\sim PGL(5,R), with Lorentz isotropy, in addition to Poincar\'e group of Einstein's SR the dual Poincar\'e group preserves the…

Mathematical Physics · Physics 2010-03-02 Han-Ying Guo , Hong-Tu Wu

We show that special relativity (SR) may be consistent with the OPERA measurements of the neutrino velocity provided the latter is corrected for the second order term in V^2/c^2 implied by the velocity, V, of the alpha particles from…

General Physics · Physics 2011-10-19 Jean-Paul Mbelek

We elucidate how different theoretical assumptions bring about radically different interpretations of the same experimental result. We do this by analyzing special relativity as it was originally formulated. Then, we examine the…

History and Philosophy of Physics · Physics 2024-09-09 Alejandro Cassini , Leonardo Levinas

The main purpose of this paper is to rethink the relativity issue within the framework of the fundamental postulates of quantum mechanics. The aspect of so-called ``double special relativity'' (DSR) is a starting point in our discussion.…

High Energy Physics - Theory · Physics 2007-05-23 Paul Korbel

I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of "doubly-special" relativistic ("DSR") theories with both an observer-independent high-velocity…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Giovanni Amelino-Camelia

This work analyzes the difficulties in learning and teaching Einstein's theory of special relativity. An extensive bibliographic review has been performed, considering articles published in the most relevant journals on science education,…

Physics Education · Physics 2021-07-20 Xabier Prado , José Manuel Domínguez , Iván Area , José Edelstein , Jorge Mira , Ángel Paredes

The confrontation between General Relativity and experimental results, notably binary pulsar data, is summarized and its significance discussed. The agreement between experiment and theory is numerically very impressive. However, some…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Damour

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

Owing to the existence of an invariant length at the Planck scale, Einstein special relativity breaks down at that scale. A possible solution to this problem is arguably to replace the Poincar\'e invariant Einstein special relativity by a…

General Relativity and Quantum Cosmology · Physics 2019-06-14 A. Araujo , D. F. Lopez , J. G. Pereira