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We consider a hypothetical possibility of the variability of light velocity with time and position in space which is derived from two natural postulates. For the consistent consideration of such variability we generalize translational…

Astrophysics · Physics 2016-08-30 Sergey S. Stepanov

Theories proposing a varying speed of light have recently been widely promoted under the claim that they offer an alternative way of solving the standard cosmological problems. Recent observational hints that the fine structure constant may…

General Relativity and Quantum Cosmology · Physics 2015-06-25 George F. R. Ellis , Jean-Philippe Uzan

Following an early observation of Ignatowsky, we present a derivation of the transformation rules between inertial systems making no other assumptions than the existence of the latter, and show that generically these rules are characterized…

General Physics · Physics 2022-02-28 Gideon Koekoek , Jan W. van Holten , Urs Wyder

Besides the defining space-time symmetries (homogeneity and isotropy) of inertial frames, the derivation of Lorentz transformation requires postulating the principle of relativity and the existence of a finite speed limit. In this article,…

Classical Physics · Physics 2017-05-12 Somajit Dey

In this extended note a critical discussion of an extension of the Lorentz transformations for velocities faster than the speed of light given recently by Hill and Cox is provided. The presented approach reveals the connection between…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Congrui Jin , Markus Lazar

A powerful test of fundamental physics consists on probing the variability of fundamental constants in Nature. Although they have been measured on Earth laboratories and in our Solar neighbourhood with extremely high precision, it is…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-27 Gabriel Rodrigues , Carlos Bengaly

We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses…

Mathematical Physics · Physics 2007-05-23 Mushfiq Ahmad

Einstein based his special theory of relativity on two postulates: (a) physical laws appear the same in all inertial frames, and (b) the speed of light in vacuum is an observer-independent constant. However, it is already known that the…

Classical Physics · Physics 2021-11-24 Vikramaditya Mondal

While the numerical value of the speed of light is known with extraordinary precision, its theoretical definition remains a subject of fundamental interest. We show that the definition of mass and velocity of light follow from the conserved…

Optics · Physics 2025-09-17 Volodimir Simulik , Denys I. Bondar

Generalized Lorentz transformations with modified velocity parameter are considered. Lorentz transformations depending on the mass of the observer are suggested.The modified formula for the addition of velocities remarkably preserves the…

General Physics · Physics 2013-12-06 Virendra Gupta

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

As we approach the 125th anniversary of the Michelson-Morley experiment in 2012, we review experiments that test the isotropy of the speed of light. Previous measurements are categorized into one-way (single-trip) and two-way (round-trip…

History and Philosophy of Physics · Physics 2015-05-20 Md. Farid Ahmed , Brendan M. Quine , Stoyan Sargoytchev , A. D. Stauffer

We consider the general form of the linear transformation for point rotation coordinate frames. The frames have the rotation axis at every point. In the transformation the frequency of one frame relative to another is not equivalent to the…

Optics · Physics 2007-05-23 Boris V. Gisin

We apply the Lieb-Robinson bounds technique to find the maximum speed of interaction in a spin model with topological order whose low-energy effective theory describes light [see X.-G. Wen, \prb {\bf 68}, 115413 (2003)]. The maximum speed…

Quantum Physics · Physics 2009-01-14 Alioscia Hamma , Fotini Markopoulou , Isabeau Premont-Schwarz , Simone Severini

We recently introduced a new family of processes which describe particles which only can move at the speed of light c in the ordinary 3D physical space. The velocity, which randomly changes direction, can be represented as a point on the…

Classical Physics · Physics 2021-03-31 Maurizio Serva

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

It is often taken for granted that on board a rotating disk it is possible to operate a \QTR{it}{global}3+1 splitting of space-time, such that both lengths and time intervals are \QTR{it}{uniquely} defined in terms of measurements performed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Rizzi , A. Tartaglia

It is generally believed that inflationary cosmology explains the isotropy, large scale homogeneity and flatness as well as predicting the deviations from homogeneity of our universe. We show that this is not the only cosmology which can…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

We shall investigate the possibility of formulation of varying speed of light (VSL) in the framework of Palatini non-linear Ricci scalar and Ricci squared theories. Different speeds of light including the causal structure constant,…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Azam Izadi , Ali Shojai

The properties of light in the presence of electromagnetic and gravitational fields are compared. Once one takes account of the fact that clock rates vary with distance from a massive object, it is argued that in an absolute sense light…

General Physics · Physics 2009-04-22 Robert J. Buenker