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As a basic symmetry of space-time, Lorentz symmetry has played important roles in various fields of physics, and it is a glamorous question whether Lorentz symmetry breaks. Since Einstein proposed special relativity, Lorentz symmetry has…

High Energy Astrophysical Phenomena · Physics 2022-06-17 Ping He , Bo-Qiang Ma

We postulate in the present paper that the energy-momentum relation is modified for very high energy particles to violate Lorentz invariance and the speed of photon is changed from the light velocity c. The violation effect is amplified, in…

Astrophysics · Physics 2009-10-31 T. Kifune

Over the past several decades, dozens of tests have sought Lorentz violation in the nonrelativistic limit of the minimal matter sector of the Standard-Model Extension. Of the 132 Lorentz-violating degrees of freedom that are observable in…

A popular framework for exploring Lorentz violation is the Standard Model Extension. This extension contains a large number of parameters that can be bounded in various experiments. Most studies, however, focus on the fermion or photon…

High Energy Physics - Phenomenology · Physics 2019-11-20 Alexander Michel , Marc Sher

Lorentz invariance is a fundamental symmetry of both Einstein's theory of general relativity and quantum field theory. However, deviations from Lorentz invariance at energies approaching the Planck scale are predicted in many quantum…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Jun-Jie Wei , Xue-Feng Wu

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

A Lorenz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one photon. Manifest Lorentz covariance is achieved using Dirac's formalism of…

Mathematical Physics · Physics 2020-12-02 Michael K. -H. Kiessling , Matthias Lienert , A. Shadi Tahvildar-Zadeh

We study a number of issues related to the emission and absorption radiation by non-relativistic electrons within the framework of a Lorentz-breaking electrodynamics in (3+1) dimensions. Our main results concern how Planck-like spectrum law…

High Energy Physics - Theory · Physics 2009-01-14 J. M. Fonseca , A. H. Gomes , W. A. Moura-Melo

We analyze the kinematics of electron-positron production in a photon-photon interaction when one has a modification of the special relativistic kinematics as a power expansion in the inverse of a new high-energy scale. We derive the…

High Energy Physics - Phenomenology · Physics 2020-08-25 J. M. Carmona , J. L. Cortés , L. Pereira , J. J. Relancio

Lorentz invariance is such a basic principle in fundamental physics that it must be constantly tested and that any proposal of its violation and breakdown of CPT symmetry, that might characterize some approaches to quantum gravity, should…

High Energy Physics - Phenomenology · Physics 2025-08-18 Chengyi Li , Bo-Qiang Ma

The assumption of Lorentz invariance is one of the founding principles of Modern Physics and violation of it would have profound implications to our understanding of the universe. For instance, certain theories attempting a unified theory…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Michael Daniel

High sensitivity measurements in atomic spectroscopy were recently used in Amelino-Camelia et. al. to constraint the form of possible modifications of the energy-momentum dispersion relation resulting from Lorentz invariance violation…

High Energy Physics - Theory · Physics 2014-11-20 M. Arzano , J. Kowalski-Glikman , A. Walkus

A general method is presented to build all gauge-invariant terms in gauge field theories, including quantum electrodynamics and quantum chromodynamics. It is applied to two experiments, light-by-light scattering and deep inelastic…

High Energy Physics - Phenomenology · Physics 2020-09-04 Zonghao Li

An updated discussion of Lorentz symmetry violation in particle physics at very high energy is presented, focusing on applications of models of deformed Lorentz symmetry to high-energy astrophysics.

General Physics · Physics 2007-05-23 Luis Gonzalez-Mestres

Various phenomena of physics beyond that of the Standard Model could occur at high scale. Ultra-high energy cosmic rays are the only particles available to explore scales above a few dozens of TeV. Although these explorations are much more…

High Energy Astrophysical Phenomena · Physics 2025-02-03 O. Deligny

Limits on gravitational Cherenkov radiation by cosmic rays are obtained and used to constrain coefficients for Lorentz violation in the gravity sector associated with operators of even mass dimensions, including orientation-dependent…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Alan Kostelecky , Jay D. Tasson

Electromagnetic resonant cavities form the basis of many tests of Lorentz invariance involving photons. The effects of some forms of Lorentz violation scale with cavity size. We investigate possible signals of violations in the naturally…

High Energy Physics - Phenomenology · Physics 2010-04-21 Matthew Mewes

The reference laboratory bounds on superluminality of the electron are obtained from the absence of in-vacuo Cherenkov processes and the determinations of synchrotron radiated power for LEP electrons. It is usually assumed that these…

High Energy Physics - Phenomenology · Physics 2012-09-20 Giovanni Amelino-Camelia , Giulia Gubitosi , Niccoló Loret , Flavio Mercati , Giacomo Rosati

Some of the best bounds on possible Lorentz violation in the electron sector come from observations of high-energy astrophysical phenomena. Using measurements of TeV inverse Compton radiation from a number of sources, we place the first…

High Energy Physics - Phenomenology · Physics 2008-11-26 Brett Altschul

It has been recently observed that small violations of Lorentz invariance, of a type which may arise in quantum gravity, could explain both the observations of cosmic rays above the GZK cutoff and the observations of 20-TeV gamma rays from…

High Energy Physics - Phenomenology · Physics 2016-09-06 Giovanni Amelino-Camelia , Tsvi Piran