Symmetry and Asymmetry in Relativity: Theories and Applications

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 December 2024) | Viewed by 1373

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Faculty of Social Sciences, University of Haifa, Haifa 3498838, Israel
Interests: game theory; social dilemmas; bargaining games; theoretical and experimental research on competition; cooperation and fairness; theoretical physics; relativity theories; cosmology; astrophysics; coherent optics; GPS precision methods
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Department of Electrical and Computer Engineering, The University of the West Indies, St. Augustine Campus, St. Augustine, Trinidad and Tobago
Interests: microelectronics; linear integrated circuits; optimal control theory; special relativity; GPS operation; speed of light; chemical bonds

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Department of Disposal Research, Materials Science and Crystallography, TU Clausthal, Germany
Interests: crystal chemistry and crystal physics; phase transitions; applied mathematics: golden ratio in life, physics and cosmos; structure of the electron

Special Issue Information

Dear Colleagues,

The relativity principle asserts the nonexistence of privileged inertial reference frames, such that the laws of physics are the same in all inertial frames. It has been shown that the Lorentz and Galilean transformations are compatible with the principles of inertia and relativity. While Newtonian physics are symmetrical (invariant), under Galilean transformations, special relativity theory, and consequently most of contemporary physics, assume spacetime symmetry under the Lorentz transformations. It is now firmly believed that the speed of light is a universal constant; that Einstein's special relativity is a correct model of inertial systems in nature, and that Newtonian physics is the limiting case for very low relative velocities.

This Special Issue seeks to re-examine the above stated conventions. We hope that the Issue will contain both orthodox and nonorthodox approaches to relativity. We welcome the submission of theoretical, empirical, and review articles on the following topics: the constancy of the speed of light, Lorentz symmetry, Lorentz symmetry violation in quantum mechanics and in high-energy physics, special relativity theory, the Sagnac effect, the Doppler effect, the application of relativity theories in GPS systems, and the application of the Sagnac effect in gyroscopes. Articles on other relevant topics, including methodological, philosophical, and cross-disciplinary studies, are also welcome.

Prof. Dr. Ramzi Suleiman
Prof. Dr. Stephan J. G. Gift
Prof. Dr. Hans Hermann Otto
Guest Editors

Manuscript Submission Information

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Keywords

  • symmetry
  • lorentz symmetry principle
  • symmetry violations in quantum and high-energy physics
  • special relativity theory
  • sagnac effect
  • doppler effect
  • speed of light

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Published Papers (1 paper)

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Research

15 pages, 331 KiB  
Article
Lorentz Invariance in Relativistic Particle Mechanics
by James M. Hill
Symmetry 2024, 16(12), 1691; https://doi.org/10.3390/sym16121691 - 20 Dec 2024
Viewed by 671
Abstract
The notion of invariance under the Lorentz transformation is fundamental to special relativity and its continuation beyond the speed of light. Theories and solutions with this characteristic are stronger and more powerful than conventional theories or conventional solutions because the Lorentz-invariant approach automatically [...] Read more.
The notion of invariance under the Lorentz transformation is fundamental to special relativity and its continuation beyond the speed of light. Theories and solutions with this characteristic are stronger and more powerful than conventional theories or conventional solutions because the Lorentz-invariant approach automatically embodies the conventional approach. We propose a Lorentz-invariant extension of Newton’s second law, which includes both special relativistic mechanics and Schrödinger’s quantum wave theory. Here, we determine new general expressions for energy–momentum, which are Lorentz-invariant. We also examine the Lorentz-invariant power-law energy–momentum expressions, which include Einstein’s energy relation as a particular case. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Relativity: Theories and Applications)
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