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We report the discovery of an exact mapping from Galilean time and space coordinates to Minkowski spacetime coordinates, showing that Lorentz covariance and the spacetime construct are consistent with the existence of a dynamical 3-space,…

General Physics · Physics 2008-11-26 Reginald T Cahill

Modern attempts to understand light go back to Newton who considered light to be particles, the so called corpuscular theory, and the other school of Huygens, Young and others. Huygens and Young viewpoint emphasised the wave property. This…

History and Philosophy of Physics · Physics 2019-05-29 Urjit A. Yajnik

Taylor's law (TL), a power-law relationship between the mean and variance of a quantity, has been observed across diverse scientific disciplines. Despite its ubiquity, the underlying mechanisms responsible for TL are not yet fully…

Adaptation and Self-Organizing Systems · Physics 2025-07-14 Yuzuru Mitsui , Hiroshi Kori

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta - either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Schützhold , W. G. Unruh

We investigate shock-wave solutions of the Einstein equations in the case when the speed of propagation is equal to the speed of light. The work extends the shock matching theory of Smoller and Temple, which characterizes solutions of the…

Analysis of PDEs · Mathematics 2007-05-23 Michael Brian Scott

The problems considered refer to the material equations of electric- and magnetoelectric induction. Some contradictions found in fundamental studies on classical electrodynamics have been explained. The notion magnetoelectric induction has…

General Physics · Physics 2007-05-23 F. F. Mende

The constancy of light speed is a basic assumption in Einstein's special relativity, and consequently the Lorentz invariance is a fundamental symmetry of space-time in modern physics. However, it is speculated that the speed of light…

High Energy Physics - Phenomenology · Physics 2015-11-23 Shu Zhang , Bo-Qiang Ma

In this work, we demonstrate explicitly the unified nature of electric and magnetic fields, from the principles of special relativity and Lorentz transformations of the electromagnetic field tensor. Using an operational approach we…

General Physics · Physics 2023-11-09 Thales B. S. F. Rodrigues , B. F. Rizzuti

Maxwell-Lorenz theory describes only vortex electromagnetic processes. Potential component of the magnetic field is usually excluded by the introduction of mathematical terms: Coulomb and Lorenz gauges. Proposed approach to the construction…

General Physics · Physics 2010-08-25 A. K. Tomilin

In December 1907, Minkowski expressed the Maxwell equations in the very beautiful and compact 4-dimensional form: lor f=-s, lor F^*=0. Here `lor', an abbreviation of Lorentz, represents the 4-dimensional differential operator. We study…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Friedrich W. Hehl

Maxwell's macroscopic equations combined with a generalized form of the Lorentz law of force are a complete and consistent set of equations. Not only are these five equations fully compatible with special relativity, they also conform with…

Optics · Physics 2014-03-03 Masud Mansuripur

Motivated by increased interest in experiments in which light appears to propagate by tunnelling at superluminal velocity, the Lorentz invariant theory proposed by Partha Ghose to explain these surprising effects is revisited. This theory…

General Physics · Physics 2023-02-21 Luca Nanni

Lorentz invariant scalar functions of the magnetic field are defined in an ideal relativistic plasma. These invariants are advected by the plasma fluid motion and play the role of the {\it potential magnetic field} introduced by R. Hide in…

Plasma Physics · Physics 2018-09-12 Francesco Pegoraro

We derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT. We find a general…

Classical Physics · Physics 2022-12-08 Satadal Datta

As a basic symmetry of Einstein's theory of special relativity, Lorentz invariance has withstood very strict tests. But there are still motivations for such tests. Firstly, many theories of quantum gravity suggest violations of Lorentz…

High Energy Astrophysical Phenomena · Physics 2022-10-06 Jun-Jie Wei

The mixing of the photon with a hypothetical sterile paraphotonic state would have consequences on the cosmological propagation of photons. The absence of distortions in the optical spectrum of distant Type Ia supernov\ae allows to extend…

Astrophysics · Physics 2009-11-07 A. De Angelis , R. Pain

We present a solution for the apparent paradox regarding an incompatibility between the Lorentz force law and special relativity presented by Mansuripur [Phys. Rev. Lett. 108, 193901 (2012)]. A connection between the apparent paradox and…

General Physics · Physics 2013-02-25 Pablo L. Saldanha

Although electromagnetic and acoustic waves profoundly differ in their nature, comparing their Doppler effects is instructive and reveals persistent conceptual traps. The principle of the Doppler effect was presented by Christian Doppler in…

Classical Physics · Physics 2022-02-23 Denis Michel

We compare the behavior of a charged particle in a gravitational field and empty space. We resolve the apparent conflict between the Lorentz-Dirac equation and Larmor's formula of radiation by noting that the former describes an electron…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Viktor T. Toth

The average time delay of photons due to multiple interactions with gravitons of the background is computed in a frame of the model of low-energy quantum gravity by the author. The two variants of evaluation of the lifetime of a virtual…

General Physics · Physics 2009-07-09 Michael A. Ivanov