Lorentz Symmetry and General Relativity

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

Deadline for manuscript submissions: 30 September 2024 | Viewed by 698

Special Issue Editor

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Interests: tests of the gravitational inverse-square law; measurement of the Newtonian gravitational constant G; searching for Lorentz violation; applications of atom gravimeter

Special Issue Information

Dear Colleagues,

Lorentz symmetry is at the heart of Einstein’s Theory of General Relativity, and it states that the outcome of any local experiment is independent of the velocity and rotation of the laboratory in which the experiment was performed. Motivated by ideas about quantum gravity, unification theories, some models of dark matter and dark energy and others, it has been conjectured that Lorentz Symmetry may be violated in the Planck scale and that many high-precision experiments have a potential sensitivity to Planck-suppressed effects.

Significant theoretical and experimental efforts have been made in testing Lorentz Symmetry since the time of Einstein. Theoretical aspects of this work include standard-model extension, modified theories of gravity and the Robertson–Mansouri–Sexl framework, and experimental aspects cover gravitational waves detections, atomic gravity, Lunar Laser Ranging, lock-comparison experiments, short-range gravity experiments, planetary ephemerides, binary pulsars, Very Long Baseline Interferometry and high energy cosmic rays, among others.

This Special Issue of Symmetry, entitled “Lorentz Symmetry and General Relativity”, provides a platform for the publication of recent research and review articles in both theoretical and experimental areas. We kindly invite all colleagues working in this area to contribute to this Special Issue.

Please note that all submissions should be in the full scope of Symmetry.

Prof. Dr. Chenggang Shao
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • lorentz symmetry
  • standard-model extension
  • modified theories of gravity
  • physics beyond general relativity
  • Einstein’s equivalence principle
  • experimental tests of gravitational theories

Published Papers (1 paper)

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Research

25 pages, 2100 KiB  
Article
Special Relativity in Terms of Hyperbolic Functions with Coupled Parameters in 3+1 Dimensions
by Nikolai S. Akintsov, Artem P. Nevecheria, Gennadii F. Kopytov, Yongjie Yang and Tun Cao
Symmetry 2024, 16(3), 357; https://doi.org/10.3390/sym16030357 - 15 Mar 2024
Viewed by 436
Abstract
This paper presents a method for parameterizing new Lorentz spacetime coordinates based on coupled parameters. The role of symmetry in rapidity in special relativity is explored, and invariance is obtained for new spacetime intervals with respect to the Lorentz transformation. Using the Euler–Hamilton [...] Read more.
This paper presents a method for parameterizing new Lorentz spacetime coordinates based on coupled parameters. The role of symmetry in rapidity in special relativity is explored, and invariance is obtained for new spacetime intervals with respect to the Lorentz transformation. Using the Euler–Hamilton equations, an additional angular rapidity and perpendicular rapidity are obtained, and the Hamiltonian and Lagrangian of a relativistic particle are expanded into rapidity spectra. A so-called passage to the limit is introduced that makes it possible to decompose physical quantities into spectra in terms of elementary functions when explicit decomposition is difficult. New rapidity-dependent Lorentz spacetime coordinates are obtained. The descriptions of particle motion using the old and new Lorentz spacetime coordinates as applied to plane laser pulses are compared in terms of the particle kinetic energy. Based on a classical model of particle motion in the field of a plane monochromatic electromagnetic wave and that of a plane laser pulse, rapidity-dependent spectral decompositions into elementary functions are presented, and the Euler–Hamilton equations are derived as rapidity functions in 3+1 dimensions. The new and old Lorentz spacetime coordinates are compared with the Fermi spacetime coordinates. The proper Lorentz groups SO(1,3) with coupled parameters using the old and new Lorentz spacetime coordinates are also compared. As a special case, the application of Lorentz spacetime coordinates to a relativistic hydrodynamic system with coupled parameters in 1+1 dimensions is demonstrated. Full article
(This article belongs to the Special Issue Lorentz Symmetry and General Relativity)
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