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Previous studies on high-energy gamma-ray burst neutrinos from IceCube suggest a neutrino speed variation at the Lorentz violation~(LV) scale of $\sim 6.4\times 10^{17}$~GeV, with opposite velocity variances between neutrinos and…

High Energy Physics - Phenomenology · Physics 2023-03-31 Chengyi Li , Bo-Qiang Ma

In earlier published work, it was proposed that light speed was larger in the early universe by 30 orders of magnitude compared to its presently observed value. This change in the speed of light is associated with a spontaneous breaking of…

Astrophysics · Physics 2007-05-23 J. W. Moffat

We describe how a stable effective theory in which particles of the same fermion number attract may spontaneously break Lorentz invariance by giving non-zero fermion number density to the vacuum (and therefore dynamically generating a…

High Energy Physics - Theory · Physics 2007-05-23 Alejandro Jenkins

Several approaches to quantum gravity suggest that Lorentz invariance will be broken at high energy. This can lead to modified dispersion relations for wave propagation, which can be concretely realized in effective field theories where the…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jarod George Kelly , Sanjeev S. Seahra

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

The possibility of a modification of special relativity with an invariant energy scale playing the role of a minimum energy is explored. Consistency with the equivalence of different inertial frames is obtained by an appropriate choice of a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jose Manuel Carmona , Jose Luis Cortes

Taking into account the experimental results of the HiRes and AUGER collaborations, the present status of bounds on Lorentz symmetry violation (LSV) patterns is discussed. Although significant constraints will emerge, a wide range of models…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-15 Luis Gonzalez-Mestres

In this extended note a critical discussion of an extension of the Lorentz transformations for velocities faster than the speed of light given recently by Hill and Cox is provided. The presented approach reveals the connection between…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Congrui Jin , Markus Lazar

Assuming the existence of a local vacuum rest frame (LVRF), and using suitable algebraic tranformations, the internal structure of ultra-high energy particles (UHEPs) is studied in the presence of Lorentz symmetry violation (LSV) at the…

High Energy Physics - Theory · Physics 2007-05-23 Luis Gonzalez-Mestres

The present work aims to search for an implementation of a new symmetry in the space-time by introducing the idea of an invariant minimum speed scale ($V$). Such a lowest limit $V$, being unattainable by the particles, represents a…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Cláudio Nassif

We develop a perturbative framework with which to discuss departures from exact Lorentz invariance and explore their potentially observable ramifications. Tiny non-invariant terms introduced into the standard model Lagrangian are assumed to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sidney Coleman , Sheldon L. Glashow

Lorentz and CPT invariance are among the symmetries that can be investigated with ultrahigh precision in subatomic physics. Being spacetime symmetries, Lorentz and CPT invariance can be violated by minuscule amounts in many theoretical…

High Energy Physics - Phenomenology · Physics 2016-04-21 Ralf Lehnert

Non-trivial solutions in string field theory may lead to the spontaneous breaking of Lorentz invariance and to new tensor-matter interactions. It is argued that requiring the contribution of the vacuum expectation values of Lorentz tensors…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Orfeu Bertolami

Besides the defining space-time symmetries (homogeneity and isotropy) of inertial frames, the derivation of Lorentz transformation requires postulating the principle of relativity and the existence of a finite speed limit. In this article,…

Classical Physics · Physics 2017-05-12 Somajit Dey

We review the interpretation of gauge invariance as a mathematical redundancy required in a relativistic description of forces mediated by massless spin-1 and spin-2 particles. In this context we also review the Weinberg-Witten theorem and…

High Energy Physics - Theory · Physics 2007-05-23 Alejandro Jenkins

Various decay processes, such as the decay of a spin-1 particle into two photons or the gravitational decay of a spin-1/2 fermion, are forbidden in the vacuum by a combination of requirements, including angular momentum conservation,…

High Energy Physics - Phenomenology · Physics 2008-11-26 José F. Nieves , Palash B. Pal

Special relativity has been tested at low energy with great accuracy, but these results cannot be extrapolated to the very high-energy region. Introducing a critical distance scale, $a$ , below 10E-25 cm (the wavelength scale of the…

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

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 study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Dubovsky , S. M. Sibiryakov

It is well known that a fundamental theorem of Quantum Field Theory (QFT) set in at spacetime ensures the CPT invariance of the theory. This symmetry is strictly connected to the Lorentz covariance, and consequently to the fundamental…

High Energy Physics - Phenomenology · Physics 2021-10-19 Vito Antonelli , Lino Miramonti , Marco Danilo Claudio Torri