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The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

Astroparticle physics has recently reached a new status of precision due to the construction of new observatories, operating innovative technologies and the detection of large numbers of events and sources. The precise measurements of…

High Energy Astrophysical Phenomena · Physics 2019-06-17 H. Martínez-Huerta

Ever since the work of von Ignatowsky circa 1910 it has been known (if not always widely appreciated) that the relativity principle, combined with the basic and fundamental physical assumptions of locality, linearity, and isotropy, leads…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valentina Baccetti , Kyle Tate , Matt Visser

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

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

One hope to solve the cosmological constant problem is to identify a symmetry principle, based on which the cosmological constant can be reduced either to zero, or to a tiny value. Here, we note that requiring that the vacuum state is…

General Relativity and Quantum Cosmology · Physics 2011-06-01 Jurjen F. Koksma , Tomislav Prokopec

Recent tentative experimental indications, and the subsequent theoretical speculations, regarding possible violations of Lorentz invariance have attracted a vast amount of attention. An important technical issue that considerably…

High Energy Physics - Phenomenology · Physics 2017-11-29 Valentina Baccetti , Kyle Tate , Matt Visser

The spontaneous breaking of local Lorentz invariance in the early Universe, associated with a first order phase transition at a critical time $t_c$, generates a large increase in the speed of light and a superluminary communication of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. W. Moffat

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

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

Special relativity has been tested at low energy with great accuracy, but these results cannot be extrapolated to very high-energy phenomena: this new domain of physics may actually provide the key to the, yet unsettled, question of the…

General Physics · Physics 2009-10-30 Luis Gonzalez-Mestres

We show that estimates of the Lorentz symmetry violation extracted from ultra-high energy cosmic rays beyond the GZK cut-off set bounds on the parameters of a Lorentz-violating extension of the Standard Model. Moreover, we argue that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Bertolami

Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy $\sim 10^{20}eV$…

General Physics · Physics 2007-05-23 B. G. Sidharth

Irreversibility implies a preferred flow of time, yet special relativity denies the existence of a preferred clock. This tension has long obstructed the formulation of a relativistic master equation: standard Markovian approximations either…

Quantum Physics · Physics 2025-12-23 Pranav Vaidhyanathan , Gerard J. Milburn

We study a theory where the presence of an extra spin-two field coupled to gravity gives rise to a phase with spontaneously broken Lorentz symmetry. In this phase gravity is massive, and the Weak Equivalence Principle is respected. The…

High Energy Physics - Theory · Physics 2008-11-26 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

The paper aims to introduce a new symmetry principle in the space-time geometry through the elimination of the classical idea of rest and by including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Claudio Nassif

Special relativity asserts that physical phenomena appear the same for all inertially moving observers. This symmetry, called Lorentz symmetry, relates long wavelengths to short ones: if the symmetry is exact it implies that spacetime must…

Astrophysics · Physics 2011-07-19 T. Jacobson , S. Liberati , D. Mattingly

This research aims to provide the geometrical foundation of the uncertainty principle within a new causal structure of spacetime so-called Symmetrical Special Relativity (SSR), where there emerges a Lorentz violation due to the presence of…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Cláudio Nassif Cruz

Effective field theories which describe the coupling between gravity and matter fields have recently been extended to include terms with operators of non-minimal mass dimension. These terms preserve the usual gauge symmetries but may…

High Energy Physics - Phenomenology · Physics 2025-02-04 Hollis Williams