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 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.

Space-time Transformations in Ether Theories

1991 ◽  
Vol 46 (5) ◽  
pp. 419-425 ◽  
Author(s):  
F. Selleri
Keyword(s):  
Special Relativity ◽  
Relativity Theory ◽  
Absolute Velocity ◽  
Ether Theory ◽  
Velocity Of Light ◽  
Principle Of Relativity ◽  
Inertial Frames ◽  
Special Relativity Theory ◽  
Time Transformations ◽  
Ether Theories

AbstractBy assuming the validity of the principle of inertia and the existence of a privileged frame, the transformation laws (TL) between inertial frames are investigated in ether theories. For onedimensional space the TL's are fixed up to two undetermined functions of absolute velocity, Δ (v) and E(v). If the principle of relativity is finally assumed, these functions acquire their well known Lorentzian expressions ΔL and EL. It is concluded that special relativity theory is "unstable", in the sense that any shift, however small, of Δ away from ΔL and/or of E away from EL leads to an ether theory. In Earth-based experiments one can expect deviations from c of the two-way and one-way velocity of light of the order of 10-12 and 10 -9 respectively

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 Special Relativity sans Lorentz Transformation (OR) Perceptional Relativity

2021 ◽  
Author(s):  
SEBASTIN PATRICK ASOKAN
Keyword(s):  
Special Relativity ◽  
Lorentz Transformation ◽  
Fast Moving ◽  
Inertial Frame ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Speed Of Light ◽  
Slowing Down ◽  
Inertial Frames

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 shows that the premise that each inertial frame has its unique time, which Lorentz Transformation introduced to explain the constancy of the speed of light in all inertial frames is incompatible with the interchangeability of the frames, an essential requisite of 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 hints at the possibility of attributing the observed slowing down of fast-moving clocks to the Relativistic Variation of Mass with Velocity instead of Time Dilation. This paper concludes that Einstein's Special Theory Relativity can stand on its own merits without Lorentz Transformation.

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.

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 Charged particle motion around non-singular black holes in conformal gravity in the presence of external magnetic field

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Bakhtiyor Narzilloev ◽  
Javlon Rayimbaev ◽  
Ahmadjon Abdujabbarov ◽  
Cosimo Bambi
Keyword(s):  
Magnetic Field ◽  
Black Holes ◽  
Charged Particle ◽  
Black Hole Solution ◽  
Coupling Parameter ◽  
Magnetic Coupling ◽  
Analytic Solutions ◽  
Particle Dynamics ◽  
Conformal Gravity ◽  
Electric And Magnetic Fields

AbstractWe consider electromagnetic fields and charged particle dynamics around non-singular black holes in conformal gravity immersed in an external, asymptotically uniform magnetic field. First, we obtain analytic solutions of the electromagnetic field equation around rotating non-singular black holes in conformal gravity. We show that the radial components of the electric and magnetic fields increase with the increase of the parameters L and N of the black hole solution. Second, we study the dynamics of charged particles. We show that the increase of the values of the parameters L and N and of magnetic field causes a decrease in the radius of the innermost stable circular orbits (ISCO) and the magnetic coupling parameter can mimic the effect of conformal gravity giving the same ISCO radius up to $$\omega _{\mathrm{B}}\le 0.07$$ ω B ≤ 0.07 when $$N=3$$ N = 3 .

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.

Introduction to Special Relativity

2019 ◽  
pp. 113-183
Author(s):  
Richard Freeman ◽  
James King ◽  
Gregory Lafyatis
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Space Time ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Electric And Magnetic Fields ◽  
Stress Energy ◽  
Inertial Frames ◽  
History Of ◽  
A Charge

The history of experiments and the development of the concepts of special relativity is presented with an emphasis on Einstein’s postulates of relativity and the relativity of simultaneity. The development of the Lorentz transformations follows Einstein’s work in enunciating the principles of covariance among inertial frames. The mathematics of the geometry of space-time is presented using Miniowski’s space-time diagrams. In developing Einstein’s argument for the reality of special relativity consequences, two examples of apparent paradoxes with their resolution are given: the twin and connected rocket problems. The mathematics of 4-vectors is developed with explicit presentation of the 4-vector gradient, 4-vector velocity, 4-vector momentum, 4-vector force, 4-wavevector, 4-current density, and 4-potential. This section sums up with the manifest covariance of Maxwell’s equations, and the presentation of the electromagnetic field and Einstein stress-energy tensor. Finally, simple examples of electromagnetic field transformation are given: static electric and magnetic fields parallel and transverse to the velocity relating two inertial frames; and the transformation of fields from a charge moving at relativistic velocities.

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.

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