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In this work, we compute some phenomenological bounds for the electromagnetic and massive gravitational high-derivative extensions supposing that it is possible to have an astrophysical process that generates simultaneously gravitational…

High Energy Physics - Theory · Physics 2017-08-30 E. Passos , M. A. Anacleto , F. A. Brito , O. Holanda , G. B. Souza , C. A. D. Zarro

Sensitive tests of Lorentz invariance can emerge from the study of neutrino oscillations, particularly for atmospheric neutrinos where the effect is conveniently near-maximal and has been observed over a wide range of energies. We assume…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sheldon Lee Glashow

Lorentz invariance is a fundamental symmetry underlying both the Standard Model of particle physics and General Relativity. Testing its validity provides a direct means of searching for new physics emerging near the Planck scale. A search…

High Energy Physics - Experiment · Physics 2026-03-05 KM3NeT Collaboration , O. Adriani , A. Albert , A. R. Alhebsi , S. Alshalloudi , S. Alves Garre , F. Ameli , M. Andre , L. Aphecetche , M. Ardid , S. Ardid , J. Aublin , F. Badaracco , L. Bailly-Salins , B. Baret , A. Bariego-Quintana , L. Barigione , M. Barnard , Y. Becherini , M. Bendahman , F. Benfenati Gualandi , M. Benhassi , D. M. Benoit , Z. Beňušová , E. Berbee , C. van Bergen , E. Berti , V. Bertin , P. Betti , S. Biagi , M. Boettcher , D. Bonanno , M. Bondì , M. Bongi , S. Bottai , A. B. Bouasla , J. Boumaaza , M. Bouta , C. Bozza , R. M. Bozza , H. Brânzaš , F. Bretaudeau , M. Breuhaus , R. Bruijn , J. Brunner , R. Bruno , E. Buis , R. Buompane , I. Burriel , J. Busto , B. Caiffi , D. Calvo , E. G. J. van Campenhout , A. Capone , F. Carenini , V. Carretero , T. Cartraud , P. Castaldi , V. Cecchini , S. Celli , M. Chabab , A. Chen , S. Cherubini , T. Chiarusi , W. Chung , M. Circella , R. Clark , R. Cocimano , J. A. B. Coelho , A. Coleiro , A. Condorelli , R. Coniglione , P. Coyle , A. Creusot , G. Cuttone , R. Dallier , A. De Benedittis , X. de La Bernardie , G. De Wasseige , V. Decoene , P. Deguire , I. Del Rosso , L. S. Di Mauro , I. Di Palma , A. F. Díaz , D. Diego-Tortosa , C. Distefano , A. Domi , C. Donzaud , D. Dornic , E. Drakopoulou , D. Drouhin , J. -G. Ducoin , P. Duverne , R. Dvornický , T. Eberl , E. Eckerová , A. Eddymaoui , M. Eff , D. van Eijk , I. El Bojaddaini , S. El Hedri , S. El Mentawi , V. Ellajosyula , A. Enzenhöfer , M. Farino , A. Ferrara , G. Ferrara , M. D. Filipović , F. Filippini , A. Foisseau , D. Franciotti , L. A. Fusco , S. Gagliardini , T. Gal , J. García Méndez , A. Garcia Soto , C. Gatius Oliver , N. Geißelbrecht , H. Ghaddari , L. Gialanella , B. K. Gibson , E. Giorgio , I. Goos , P. Goswami , S. R. Gozzini , R. Gracia , B. Guillon , C. Haack , C. Hanna , H. van Haren , E. Hazelton , A. Heijboer , L. Hennig , J. J. Hernández-Rey , A. Idrissi , W. Idrissi Ibnsalih , G. Illuminati , R. Jaimes , O. Janik , D. Joly , M. de Jong , P. de Jong , B. J. Jung , P. Kalaczyński , T. Kapoor , U. F. Katz , J. Keegans , T. Khvichia , G. Kistauri , C. Kopper , A. Kouchner , Y. Y. Kovalev , L. Krupa , V. Kueviakoe , V. Kulikovskiy , R. Kvatadze , M. Labalme , R. Lahmann , M. Lamoureux , A. Langella , G. Larosa , C. Lastoria , J. Lazar , A. Lazo , G. Lehaut , V. Lemaître , E. Leonora , N. Lessing , G. Levi , M. Lindsey Clark , F. Longhitano , M. Loup , A. Luashvili , S. Madarapu , F. Magnani , L. Malerba , F. Mamedov , A. Manfreda , A. Manousakis , M. Marconi , A. Margiotta , A. Marinelli , C. Markou , L. Martin , M. Mastrodicasa , S. Mastroianni , J. Mauro , K. C. K. Mehta , G. Miele , P. Migliozzi , E. Migneco , M. L. Mitsou , C. M. Mollo , L. Morales-Gallegos , N. Mori , A. Moussa , I. Mozun Mateo , R. Muller , M. R. Musone , M. Musumeci , S. Navas , A. Nayerhoda , C. A. Nicolau , B. Nkosi , B. Ó Fearraigh , V. Oliviero , A. Orlando , E. Oukacha , L. Pacini , D. Paesani , J. Palacios González , G. Papalashvili , P. Papini , V. Parisi , A. Parmar , G. Pascua , B. Pascual-Estrugo , C. Pastore , A. M. Păun , G. E. Păvălaš , S. Peña Martínez , M. Perrin-Terrin , V. Pestel , M. Petropavlova , P. Piattelli , A. Plavin , C. Poirè , T. Pradier , J. Prado , S. Pulvirenti , N. Randazzo , A. Ratnani , S. Razzaque , I. C. Rea , D. Real , G. Riccobene , J. Robinson , A. Romanov , E. Ros , A. Šaina , F. Salesa Greus , D. F. E. Samtleben , A. Sánchez Losa , S. Sanfilippo , M. Sanguineti , D. Santonocito , P. Sapienza , M. Scaringella , M. Scarnera , J. Schnabel , J. Schumann , M. Senniappan , P. A. Sevle Myhr , I. Sgura , R. Shanidze , Chengyu Shao , A. Sharma , Y. Shitov , F. Šimkovic , A. Simonelli , A. Sinopoulou , C. Sironneau , B. Spisso , M. Spurio , O. Starodubtsev , I. Štekl , D. Stocco , M. Taiuti , Y. Tayalati , J. Tena , H. Thiersen , S. Thoudam , I. Tosta e Melo , B. Trocmé , V. Tsourapis , C. Tully , E. Tzamariudaki , A. Ukleja , A. Vacheret , V. Valsecchi , V. Van Elewyck , G. Vannoye , E. Vannuccini , G. Vasileiadis , F. Vazquez de Sola , A. Veutro , S. Viola , D. Vivolo , A. van Vliet , L. Voorend , E. de Wolf , I. Lhenry-Yvon , S. Zavatarelli , D. Zito , J. D. Zornoza , J. Zúñiga

We present atom-interferometer tests of the local Lorentz invariance of post-Newtonian gravity. An experiment probing for anomalous vertical gravity on Earth, which has already been performed by us, uses the highest-resolution atomic…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Keng-Yeow Chung , Sheng-wey Chiow , Sven Herrmann , Steven Chu , Holger Mueller

Electromagnetic waves are described by not only polarization ellipses but also cyclically rotating vectors tracing out them. The corresponding fields are respectively directionless steady line fields and directional instantaneous vector…

Optics · Physics 2025-02-18 Chunchao Wen , Jianfa Zhang , Chaofan Zhang , Shiqiao Qin , Zhihong Zhu , Wei Liu

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

Gravitational waves are excellent tools to probe the foundations of General Relativity in the strongly dynamical and non-linear regime. One such foundation is Lorentz symmetry, which can be broken in the gravitational sector by the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Devin Hansen , Nicolas Yunes , Kent Yagi

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

High Energy Physics - Phenomenology · Physics 2013-11-12 Yuri Bonder

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 spherical black-hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical unit timelike vector (the "aether") that defines a preferred timelike direction.…

General Relativity and Quantum Cosmology · Physics 2011-07-11 Enrico Barausse , Ted Jacobson , Thomas P. Sotiriou

The purpose of this paper is to explain clearly why nonlocality must be an essential part of the theory of relativity. In the standard local version of this theory, Lorentz invariance is extended to accelerated observers by assuming that…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Bahram Mashhoon

In this paper, we will analyse the cosmological models in Einstein-aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We will use this formalism to analyse different…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Antonio Pasqua , Surajit Chattopadhyay , Davood Momeni , Muhammad Raza , Ratbay Myrzakulov , Mir Faizal

We obtain a Lorentz covariant wave equation whose complex wave function transforms under a Lorentz boost according to the following rule, $\Psi(x)\rightarrow e^{\frac{i}{\hbar}f(x)}\Psi(x)$. We show that the spacetime dependent phase $f(x)$…

High Energy Physics - Phenomenology · Physics 2022-03-04 Gustavo Rigolin

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

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

General Relativity and Quantum Cosmology · Physics 2008-03-03 Nikodem J. Poplawski

Along the lines of the Einstein-Rosen wave equation of General Relativity (GR), we derive a gravitational wave equation with cylindrical symmetry in the Einstein-aether (EA) theory. We show that the gravitational wave in the EA is periodic…

General Relativity and Quantum Cosmology · Physics 2025-11-19 R. Chan , M. F. A. da Silva , V. H. Satheeshkumar

We introduce the generalized Lorentz gauge condition in the theory of quantum electrodynamics into the general vector-tensor theories of gravity. Then we explore the cosmic evolution and the static, spherically symmetric solution of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Changjun Gao

Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Mikel Artola , José A. R. Cembranos , Prado Martín-Moruno

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

Classical Physics · Physics 2007-05-23 Wolfgang Engelhardt

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento