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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…

Within the standard effective field theory of General Relativity, we show that the speed of gravitational waves deviates, ever so slightly, from luminality on cosmological and other spontaneously Lorentz-breaking backgrounds. This effect…

High Energy Physics - Theory · Physics 2020-03-25 Claudia de Rham , Andrew J. Tolley

Introducing the primed inertial coordinate system, for each inertial frame of reference, in addition to the usual inertial coordinate system, we assume that gravity-free space and time possess the Euclidean structures in the primed inertial…

General Physics · Physics 2007-05-23 Jian-Miin Liu

Naively applying Hubble's law to a sufficiently distant object gives a receding velocity larger than the speed of light. By discussing a very similar situation in special relativity, we argue that Hubble's law is meaningful only for nearby…

General Physics · Physics 2012-09-11 Ali Kaya

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 paper I discuss whether superluminal particles exist in the general relativistic theory of gravity. It seems that the answer to this question is negative. In truth the result may only represent a difficulty to {\bf special} but not…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Asher Yahalom

We present an improved laboratory test of Lorentz invariance in electrodynamics by testing the isotropy of the speed of light. Our measurement compares the resonance frequencies of two orthogonal optical resonators that are implemented in a…

Classical Physics · Physics 2010-11-24 S. Herrmann , A. Senger , K. Möhle , M. Nagel , E. Kovalchuk , A. Peters

It is often assumed that the most general transformation between two inertial reference frames is affine linear in their Cartesian coordinates, an assumption which is however not true. We provide a complete derivation of the most general…

Classical Physics · Physics 2026-01-01 Nicholas Agia

The difference in light's travel time from CERN to GPS to Gran Sasso, on the one hand, and light going the direct route in vacuum (mimicked by neutrinos), on the other hand, is analyzed with a modified Robertson test theory of the Lorentz…

General Physics · Physics 2011-11-11 Jose G. Vargas

We propose a new generalisation of general relativity which incorporates a variation in both the speed of light in vacuum (c) and the gravitational constant (G) and which is both covariant and Lorentz invariant. We solve the generalised…

Astrophysics · Physics 2009-10-31 P. P. Avelino , C. J. A. P. Martins

We consider a search for a sidereal time variation of the beam trajectory in the cyclotron motion in a static magnetic field. The combination of two beams moving in opposite directions could allow a test of the radius stability with…

General Relativity and Quantum Cosmology · Physics 2015-09-10 B. Wojtsekhowski

New varying speed of light (VSL) theories as alternatives to the inflationary model of the universe are discussed and evidence for a varying speed of light reviewed. Work linked with VSL but primarily concerned with deriving Planck's black…

General Physics · Physics 2007-05-23 Daniel J. Farrell , J. Dunning-Davies

We present a Michelson-Morley type experiment for testing the isotropy of the speed of light in vacuum and matter. The experiment compares the resonance frequency of an actively rotated monolithic optical cryogenic sapphire resonator…

Classical Physics · Physics 2011-12-19 M. Nagel , K. Möhle , K. Döringshoff , E. V. Kovalchuk , A. Peters

We discuss the possibility that the limiting speed (c_l) appearing in Lorentz equations might be different i.e., slightly larger than the observed speed of light (c_n). We show that such a possibility can be tested by state-of-the-art…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jean-Marie Frere , Simon Mollet , Michel H. G. Tytgat

The existence of a faster-than-light particle is in direct opposition to Einstein's relativity and the principle of causality. However, we show that the theory of classical relativistic fields is not inherently inconsistent with the…

Classical Physics · Physics 2022-03-08 Mohammad Mohammadi , Nematollah Riazi , Mohammad Hassan Dhegihani

An extension of the finite and infinite Lie groups properties of complex numbers and functions of complex variable is proposed. This extension is performed exploiting hypercomplex number systems that follow the elementary algebra rules. In…

Mathematical Physics · Physics 2007-05-23 Francesco Catoni , Paolo Zampetti

An interpretation of the recent results reported by the OPERA collaboration is that neutrinos propagation in vacuum exceeds the speed of light. It has been further been suggested that this interpretation can be attributed to the variation…

High Energy Physics - Phenomenology · Physics 2015-05-30 Alon E. Faraggi

The longitudinal Doppler shift is a measure of hyperbolic distance. Transformations of uniform motion are determined by the Doppler shift, while its square root transforms to a uniformly accelerated frame. A time-velocity space metric is…

General Physics · Physics 2008-05-16 B. H. Lavenda

The Lorentz transformation is used to analyse space and time coordinates corresponding to two spatially-separated clocks in the same inertial frame. The time dilatation effect is confirmed, but not `relativity of simultaneity' or…

General Physics · Physics 2009-09-01 J. H. Field

It is pointed out that the traditional explanation for the observation of a non-zero energy h nu for light in free space does not apply for the analogous situation in dispersive media. Because the speed of light u is no longer equal to c in…

General Physics · Physics 2007-05-23 Robert J. Buenker