Comment on “Generalization of Einstein’s synchronization for the case of anisotropic light speed”1Appears in Can. J. Phys. 87, 969.

2012 ◽  
Vol 90 (2) ◽  
pp. 207-210 ◽  
Author(s):  
Alon Drory
Keyword(s):  
Special Relativity ◽  
Recent Article ◽  
Speed Of Light ◽  
Light Speed ◽  
Principle Of Relativity ◽  
Frame Invariance ◽  
Anisotropic Light Speed

In a recent article, A. Sfarti attempted to derive the frame-invariance of the speed of light from the principle of relativity, thereby eliminating the second postulate from the foundations of special relativity (Can. J. Phys. 87, 969 (2009)). I analyse his derivation and conclude that it is incorrect.

scholarly journals Symmetry and Special Relativity

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1235 ◽  
Author(s):  
Yaakov Friedman ◽  
Tzvi Scarr
Keyword(s):  
Charged Particle ◽  
Special Relativity ◽  
Symmetric Domain ◽  
Analytic Solutions ◽  
Bounded Symmetric Domain ◽  
Speed Of Light ◽  
Conformal Maps ◽  
Principle Of Relativity ◽  
Electric And Magnetic Fields ◽  
Inertial Frames

We explore the role of symmetry in the theory of Special Relativity. Using the symmetry of the principle of relativity and eliminating the Galilean transformations, we obtain a universally preserved speed and an invariant metric, without assuming the constancy of the speed of light. We also obtain the spacetime transformations between inertial frames depending on this speed. From experimental evidence, this universally preserved speed is c, the speed of light, and the transformations are the usual Lorentz transformations. The ball of relativistically admissible velocities is a bounded symmetric domain with respect to the group of affine automorphisms. The generators of velocity addition lead to a relativistic dynamics equation. To obtain explicit solutions for the important case of the motion of a charged particle in constant, uniform, and perpendicular electric and magnetic fields, one can take advantage of an additional symmetry—the symmetric velocities. The corresponding bounded domain is symmetric with respect to the conformal maps. This leads to explicit analytic solutions for the motion of the charged particle.

scholarly journals OPERATIONAL INDISTINGUISHABLY OF VARYING SPEED OF LIGHT THEORIES

2004 ◽  
Vol 13 (04) ◽  
pp. 709-716 ◽  
Author(s):  
NOSRATOLLAH JAFARI ◽  
AHMAD SHARIATI
Keyword(s):  
Cosmic Rays ◽  
Standard Model ◽  
Special Relativity ◽  
High Energy ◽  
Ultra High Energy ◽  
Speed Of Light ◽  
High Energy Cosmic Rays ◽  
Light Speed ◽  
The Standard Model

The varying speed of light theories have been recently proposed to solve the standard model problems and anomalies in the ultra high energy cosmic rays. These theories try to formulate a new relativity with no assumptions about the constancy of the light speed. In this regard, we study two theories and want to show that these theories are not the new theories of relativity, but only re-descriptions of Einstein's special relativity.

scholarly journals A note on ‘Einstein's special relativity beyond the speed of light by James M. Hill and Barry J. Cox’

2013 ◽  
Vol 469 (2154) ◽  
pp. 20120672 ◽  
Author(s):  
Hajnal Andréka ◽  
Judit X. Madarász ◽  
István Németi ◽  
Gergely Székely
Keyword(s):  
Special Relativity ◽  
Space Time ◽  
Two Dimensional ◽  
Speed Of Light ◽  
Principle Of Relativity ◽  
Faster Than Light

We show that the transformations Hill and Cox introduce, between inertial observers moving faster than light with respect to each other, are consistent with Einstein's principle of relativity only if the space–time is two dimensional.

scholarly journals Can Lorentz transformations be determined by the null Michelson-Morley result?

2017 ◽  
Vol 39 (3) ◽  
Author(s):  
J. A. S. Lima ◽  
Fernando D. Sasse
Keyword(s):  
Special Relativity ◽  
Maxwell Equations ◽  
Relativity Theory ◽  
Lorentz Transformations ◽  
Speed Of Light ◽  
Principle Of Relativity ◽  
General Coordinate Transformation ◽  
Special Relativity Theory ◽  
Lorentzian Form ◽  
Morley Experiment

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 reanalysis of the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course.

Derivation of special relativity from Maxwell and Newton

2008 ◽  
Vol 366 (1871) ◽  
pp. 1861-1865 ◽  
Author(s):  
D.J Dunstan
Keyword(s):  
Special Relativity ◽  
Experimental Work ◽  
Displacement Current ◽  
Lorentz Transformations ◽  
Speed Of Light ◽  
Principle Of Relativity ◽  
Propagation Of Light ◽  
Newton’S Laws ◽  
Laws Of Motion

Special relativity derives directly from the principle of relativity and from Newton's laws of motion with a single undetermined parameter, which is found from Faraday's and Ampère's experimental work and from Maxwell's own introduction of the displacement current to be the − c −2 term in the Lorentz transformations. The axiom of the constancy of the speed of light is quite unnecessary. The behaviour and the mechanism of the propagation of light are not at the foundations of special relativity.

Special relativity and the Lorentz sphere

2020 ◽  
Vol 33 (1) ◽  
pp. 15-22 ◽  
Author(s):  
Stephen J. Crothers
Keyword(s):  
Special Relativity ◽  
Lorentz Transformation ◽  
Spherical Wave ◽  
Special Theory ◽  
Inertial System ◽  
Rectilinear Motion ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Speed Of Light ◽  
Principle Of Relativity

The special theory of relativity demands, by Einstein's two postulates (i) the principle of relativity and (ii) the constancy of the speed of light in vacuum, that a spherical wave of light in one inertial system transforms, via the Lorentz transformation, into a spherical wave of light (the Lorentz sphere) in another inertial system when the systems are in constant relative rectilinear motion. However, the Lorentz transformation in fact transforms a spherical wave of light into a translated ellipsoidal wave of light even though the speed of light in vacuum is invariant. The special theory of relativity is logically inconsistent and therefore invalid.

scholarly journals ISSUE ON MEASURING THE LIGHT SPEED IN VACUUM

2021 ◽  
Vol 82 (4) ◽  
pp. 61-64
Author(s):  
Vasil Сhaban ◽  
Keyword(s):  
Gravitational Field ◽  
Differential Equations ◽  
Gravitational Lens ◽  
Electric Signal ◽  
The Sun ◽  
Speed Of Light ◽  
Light Speed ◽  
Shapiro Effect

Based on the proposed differential equations of the interaction of the electric signal with the gravitational field, the observed phenomena are known as the gravitational lens and the Shapiro effect are investigated. The deflection of a light ray in the field of the Sun is simulated. It is shown that a moving photon undergoes in the gravitational field not only a transverse action, which causes a curvature of the trajectory but also a longitudinal one, implementing the acceleration-braking processes. As a result, the instability of the speed of light in a vacuum was revealed.

scholarly journals Special Relativity sans Lorentz Transformation (OR) Perceptional Relativity

2021 ◽  
Author(s):  
Sebastin Patrick Asokan
Keyword(s):  
Special Relativity ◽  
Lorentz Transformation ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Speed Of Light ◽  
Inertial Frames ◽  
Impossible Task

Abstract This paper shows that from the fact that the same Reality is perceived differently by the observers in different inertial frames, we can draw a simple and straightforward explanation for the constancy of light's speed in all inertial frames without any need for bringing in paradoxical Lorentz Transformation. This paper also proves that Lorentz Transformation has failed in its attempt to do the impossible task of establishing t' ≠ t to explain the constancy of the speed of light in all inertial frames without contradicting the interchangeability of frames demanded by the First Postulate of the Special Theory of Relativity. This paper also points out the misconceptions regarding the claimed experimental verifications of Lorentz Transformation's predictions in the Hafele–Keating experiment and μ meson experiment. This paper concludes that Einstein's Special Theory Relativity can stand on its own merits without Lorentz Transformation.

scholarly journals SUBLUMINAL OPERA NEUTRINOS

2012 ◽  
Vol 27 (07) ◽  
pp. 1250033 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Special Relativity ◽  
Recent Work ◽  
Causal Structure ◽  
Pion Decay ◽  
Speed Of Light ◽  
The Earth

The OPERA Collaboration has announced to have observed superluminal neutrinos with a mean energy 17.5 GeV, but afterward the superluminal interpretation of the OPERA results has been refuted theoretically by Cherenkov-like radiation and pion decay. In a recent work, we have proposed a kinematical resolution to this problem. A key idea in our resolution is that the OPERA neutrinos are not superluminal but subluminal since they travel faster than the observed speed of light in vacuum on the earth while they do slower than the true speed of light in vacuum determining the causal structure of events. In this paper, we dwell upon our ideas and present some concrete models, which realize our ideas, based on spin 0, 1 and 2 bosonic fields. We also discuss that the principle of invariant speed of light in special relativity can be replaced with the principle of a universal limiting speed.

Cherenkov Light

2016 ◽  
pp. 317-335
Keyword(s):  
Special Relativity ◽  
Glass Sample ◽  
Cherenkov Light ◽  
Speed Of Light ◽  
Important Condition

Consider an electron approaching a sample of glass with a velocity close to the speed of light, c. As the electron moves through the glass light will instantly be emitted along its track, if its velocity is high enough. Even more, the electron will leave the glass sample before the light since the velocity of the particle inside the sample is larger than the speed of the light. At first sight, this seems to be in contradiction to Einstein's theory of special relativity, which states that nothing can travel faster than the speed of light, but one often forgets the important condition: in vacuum. This is the story of light emitted at particle travelling faster than the speed of light.

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