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In the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory were re-stated. And, the addition of velocity laws were derived and used…

Classical Physics · Physics 2022-08-31 Ahmed Al-Jamel , Mohamed. Al-Masaeed , Eqab. M. Rabei , Dumitru Baleanu

In a new theory, local Lorentz invariance is a low-energy symmetry which no longer holds when a fermion energy E is well above 1 TeV. Here we find that the modified E(p) relation is consistent with observation, and is in fact nearly the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. E. Allen

We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as…

Quantum Physics · Physics 2007-05-23 Paul M. Alsing , Gerard J. Milburn

If textbook Lorentz invariance is actually a property of the equations describing a sector of the excitations of vacuum above some critical distance scale, several sectors of matter with different critical speeds in vacuum can coexist and…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

As a basic symmetry of Einstein's theory of special relativity, Lorentz invariance has withstood very strict tests. But there are still motivations for such tests. Firstly, many theories of quantum gravity suggest violations of Lorentz…

High Energy Astrophysical Phenomena · Physics 2022-10-06 Jun-Jie Wei

In a recent paper we demonstrated how the simplest model for varying alpha may be interpreted as the effect of a dielectric material, generalized to be consistent with Lorentz invariance. Unlike normal dielectrics, such a medium cannot…

General Relativity and Quantum Cosmology · Physics 2015-09-03 John D. Barrow , Joao Magueijo

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that just as in the case of electromagnetism, there are two inequivalent limits, one "electric" and the other "magnetic". Each can be obtained from the…

High Energy Physics - Theory · Physics 2021-12-08 Marc Henneaux , Patricio Salgado-Rebolledo

We consider a class of models with infinite extra dimension, where bulk space does not possess SO(1,3) invariance, but Lorentz invariance emerges as an approximate symmetry of the low-energy effective theory. In these models, the maximum…

High Energy Physics - Theory · Physics 2014-11-18 S. L. Dubovsky

A quantum gravity theory which becomes renormalizable at short distances due to a spontaneous symmetry breaking of Lorentz invariance and diffeomorphism invariance is studied. A breaking of Lorentz invariance with the breaking patterns…

High Energy Physics - Theory · Physics 2010-05-25 J. W. Moffat

Lorentz invariance, the fundamental symmetry of Einstein's theory of Special Relativity, has been established and tested by many classical and modern experiments. However, many theories that unify the Standard Model of particle physics and…

High Energy Astrophysical Phenomena · Physics 2016-08-15 Fabian Kislat , Henric Krawczynski

We discuss conservation laws for gravity theories invariant under general coordinate and local Lorentz transformations. We demonstrate the possibility to formulate these conservation laws in many covariant and noncovariant(ly looking) ways.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yuri N. Obukhov , Guillermo F. Rubilar

An investigation is performed of the Lorentz-violating electrodynamics extracted from the renormalizable sector of the general Lorentz- and CPT-violating standard-model extension. Among the unconventional properties of radiation arising…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Matthew Mewes

Lorentz boosts on particles with spin and momentum degrees of freedom induce momentum-dependent rotations. Since, in general, different particles have different momenta, the transformation on the whole state is not a representation of the…

Quantum Physics · Physics 2015-06-11 Esteban Castro-Ruiz , Eduardo Nahmad-Achar

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Vlasios Vasileiou

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

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

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

General Physics · Physics 2007-10-17 Bernhard Rothenstein , Stefan Popescu

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

We propose definitions for covariance and local Lorentz invariance applicable when the speed of light $c$ is allowed to vary. They have the merit of retaining only those aspects of the usual definitions which are invariant under unit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Joao Magueijo