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It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify this scale in a coordinate-independent manner so that covariance is not broken.…

High Energy Physics - Theory · Physics 2019-10-07 Jason Pye

Short-range experiments testing the gravitational inverse-square law at the submillimeter scale offer uniquely sensitive probes of Lorentz invariance. A combined analysis of results from the short-range gravity experiments HUST-2015,…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Cheng-Gang Shao , Yu-Jie Tan , Wen-Hai Tan , Shan-Qing Yang , Jun Luo , Michael Edmund Tobar , Quentin G. Bailey , J. C. Long , E. Weisman , Rui Xu , Alan Kostelecky

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

The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated. A new dispersion relation for a free field theory with just one additional noncommutative parameter is obtained.…

High Energy Physics - Theory · Physics 2009-11-07 J. M. Carmona , J. L. Cortes , J. Gamboa , F. Mendez

Quantum decoherence can arise due to classical fluctuations in the parameters which define the dynamics of the system. In this case decoherence, and complementary noise, is manifest when data from repeated measurement trials are combined.…

General Relativity and Quantum Cosmology · Physics 2011-09-13 G. J. Milburn

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

We employ techniques from quantum estimation theory (QET) to estimate the Lorentz violation parameters in the 1+3-dimensional flat spacetime. We obtain and discuss the expression of the quantum Fisher information (QFI) in terms of the…

General Relativity and Quantum Cosmology · Physics 2018-10-29 H. A. S. Costa , P. R. S. Carvalho , I. G. da Paz

The Planck or the quantum gravity scale, being $16$ orders of magnitude greater than the electroweak scale, is often considered inaccessible by current experimental techniques. However, it was shown recently by one of the current authors…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Saurya Das , Sujoy K. Modak

We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such scale is built-in within those transformations, and one does not need to…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Pasquale Bosso , Saurya Das

The framework of relativistic quantum-field theories requires Lorentz Invariance. Many theories of quantum gravity, on the other hand, include violations of Lorentz Invariance at small scales and high energies. This generates a lot of…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Lukas Nellen

Due to quantum gravity fluctuations at the Planck scale, the space-time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this article, we study the neutrino oscillation…

High Energy Physics - Phenomenology · Physics 2012-08-01 Iman Motie , She-Sheng Xue

Lorentz Invariance Violation introduced as a generic modification to particle dispersion relations is used to study high energy cosmic ray attenuation processes. It is shown to reproduce the same physical effects for vacuum Cherenkov…

High Energy Astrophysical Phenomena · Physics 2017-03-09 H. Martínez-Huerta , A. Pérez-Lorenzana

Lorentz invariance is the fundamental symmetry of Einstein's theory of special relativity, and has been tested to great level of detail. However, theories of quantum gravity at the Planck scale indicate that Lorentz symmetry may be broken…

High Energy Astrophysical Phenomena · Physics 2017-05-03 Fabian Kislat , Henric Krawczynski

Quantum gravity theories often modify spacetime symmetries. In particular, Lorentz invariance may be violated when approaching the Planck scale. Although the scales at which interactions occur in extensive air showers induced by…

High Energy Astrophysical Phenomena · Physics 2026-02-17 The Pierre Auger Collaboration , A. Abdul Halim , P. Abreu , M. Aglietta , I. Allekotte , K. Almeida Cheminant , R. Aloisio , J. Alvarez-Muñiz , A. Ambrosone , J. Ammerman Yebra , L. Anchordoqui , B. Andrada , L. Andrade Dourado , L. Apollonio , C. Aramo , E. Arnone , J. C. Arteaga Velázquez , P. Assis , G. Avila , E. Avocone , A. Bakalova , Y. Balibrea , A. Baluta , F. Barbato , A. Bartz Mocellin , J. P. Behler , C. Berat , M. E. Bertaina , M. Bianciotto , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , N. Borodai , J. Brack , P. G. Brichetto Orquera , A. Bueno , S. Buitink , M. Büsken , A. Bwembya , K. S. Caballero-Mora , S. Cabana-Freire , L. Caccianiga , J. Caraça-Valente , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , B. Čermáková , A. Cermenati , K. Cerny , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , R. Conceição , G. Consolati , M. Conte , F. Convenga , D. Correia dos Santos , P. J. Costa , C. E. Covault , M. Cristinziani , C. S. Cruz Sanchez , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , E. -T. de Boone , B. de Errico , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , O. Deligny , N. Denner , K. Denner Syrokvas , L. Deval , A. di Matteo , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , Y. Dominguez Ballesteros , Q. Dorosti , R. C. dos Anjos , J. Ebr , F. Ellwanger , R. Engel , I. Epicoco , M. Erdmann , A. Etchegoyen , C. Evoli , H. Falcke , G. Farrar , A. C. Fauth , T. Fehler , F. Feldbusch , A. Fernandes , M. Fernández Alonso , B. Fick , J. M. Figueira , P. Filip , A. Filipčič , T. Fitoussi , B. Flaggs , A. Franco , M. Freitas , T. Fujii , A. Fuster , C. Galea , B. García , C. Gaudu , P. L. Ghia , U. Giaccari , M. Giammarco , C. Glaser , F. Gobbi , F. Gollan , G. Golup , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , D. Góra , A. Gorgi , M. Gottowik , F. Guarino , G. P. Guedes , Y. C. Guerra , L. Gülzow , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , V. M. Harvey , A. Haungs , M. Havelka , T. Hebbeker , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , M. Ismaiel , P. Janecek , V. Jilek , K. -H. Kampert , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Köhler , F. Krieger , M. Kubatova , N. Kunka , B. L. Lago , N. Langner , N. Leal , M. A. Leigui de Oliveira , Y. Lema-Capeans , A. Letessier-Selvon , I. Lhenry-Yvon , L. Lopes , J. P. Lundquist , M. Mallamaci , S. Mancuso , D. Mandat , P. Mantsch , A. G. Mariazzi , C. Marinelli , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , O. Martínez Bravo , M. A. Martins , H. -J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , J. Meinert , D. Melo , A. Menshikov , C. Merx , S. Michal , M. I. Micheletti , L. Miramonti , M. Mogarkar , S. Mollerach , F. Montanet , L. Morejon , K. Mulrey , R. Mussa , W. M. Namasaka , S. Negi , L. Nellen , K. Nguyen , G. Nicora , M. Niechciol , D. Nitz , D. Nosek , A. Novikov , V. Novotny , L. Nožka , A. Nucita , L. A. Núñez , S. E. Nuza , J. Ochoa , M. Olegario , C. Oliveira , L. Östman , M. Palatka , J. Pallotta , S. Panja , G. Parente , T. Paulsen , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , V. Pelgrims , C. Pérez Bertolli , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , M. Platino , B. Pont , M. Pourmohammad Shahvar , P. Privitera , C. Priyadarshi , M. Prouza , K. Pytel , S. Querchfeld , J. Rautenberg , D. Ravignani , J. V. Reginatto Akim , A. Reuzki , J. Ridky , F. Riehn , M. Risse , V. Rizi , E. Rodriguez , G. Rodriguez Fernandez , J. Rodriguez Rojo , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , P. Sampathkumar , N. San Martin , J. D. Sanabria Gomez , F. Sánchez , F. M. Sánchez Rodriguez , E. Santos , F. Sarazin , R. Sarmento , R. Sato , P. Savina , V. Scherini , H. Schieler , M. Schimp , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Sedoski , S. Sehgal , S. U. Shivashankara , G. Sigl , K. Simkova , F. Simon , R. Šmída , S. Soares Sippert , P. Sommers , M. Stadelmaier , S. Stanič , J. Stasielak , P. Stassi , S. Strähnz , M. Straub , T. Suomijärvi , A. D. Supanitsky , Z. Svozilikova , Z. Szadkowski , F. Tairli , M. Tambone , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , A. Travaini , P. Travnicek , C. Trimarelli , M. Tueros , M. Unger , R. Uzeiroska , L. Vaclavek , M. Vacula , I. Vaiman , J. F. Valdés Galicia , L. Valore , P. van Dillen , E. Varela , V. Vašíčková , A. Vásquez-Ramírez , D. Veberič , I. D. Vergara Quispe , S. Verpoest , V. Verzi , J. Vicha , S. Vorobiov , J. B. Vuta , C. Watanabe , A. A. Watson , A. Weindl , M. Weitz , L. Wiencke , H. Wilczyński , B. Wundheiler , B. Yue , A. Yushkov , E. Zas , D. Zavrtanik , M. Zavrtanik

A common misconception is that Lorentz invariance is inconsistent with a discrete spacetime structure and a minimal length: under Lorentz contraction, a Planck length ruler would be seen as smaller by a boosted observer. We argue that in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Etera R. Livine , Daniele Oriti

In this paper it is given a brief review of the current limits on the magnitude of CPT and Lorentz Invariance violations, currently predicted in connection with quantum gravity and string/M-theory, that can be derived from astrophysical and…

Astrophysics · Physics 2007-11-08 G. Auriemma

Lorentz invariance is a fundamental symmetry of spacetime underpinning the Standard Model (SM) and our understanding of high-energy phenomena in particle physics. However, beyond the quantum gravity scale, we expect the SM to be replaced…

High Energy Physics - Phenomenology · Physics 2023-02-20 Barbara Skrzypek , Carlos A. Argüelles

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

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Jean-Philippe Bruneton

The spontaneous breakdown of 4-dimensional Lorentz invariance in the framework of QED with the nonlinear vector potential constraint A_{\mu}^{2}=M^{2}(where M is a proposed scale of the Lorentz violation) is shown to manifest itself only as…

High Energy Physics - Theory · Physics 2008-11-26 A. T. Azatov , J. L. Chkareuli