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Classical light bending is investigated for weak gravitational fields in the presence of hypothetical local Lorentz violation. Using an effective field theory framework that describes general deviations from local Lorentz invariance, we…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Rhondale Tso , Quentin G. Bailey

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

Astrophysical, terrestrial, and space-based searches for Lorentz violation are very briefly reviewed. Such searches are motivated by the fact that all superunified theories (and other theories that attempt to include quantum gravity) have…

High Energy Physics - Theory · Physics 2009-11-10 Roland E. Allen , Seiichirou Yokoo

Cosmic rays and air showers at ultra-high energy are unique tools to test the validity of Lorentz invariance. A brief overview is given on such tests focusing on isotropic, non-birefringent Lorentz violation (LV) in the photon sector. Based…

High Energy Physics - Phenomenology · Physics 2022-08-19 Markus Risse

Astrophysical scenarios provide a unique opportunity to test the possible signatures of Lorentz Invariance Violation (LIV) due to the high energies and the very long distances they involve. An isotropic correction to the photon dispersion…

High Energy Astrophysical Phenomena · Physics 2019-08-13 H. Martínez-Huerta

Observations of the synchrotron and inverse Compton emissions from ultrarelativistic electrons in astrophysical sources can reveal a great deal about the energy-momentum relations of those electrons. They can thus be used to place bounds on…

High Energy Physics - Phenomenology · Physics 2021-04-19 Brett Altschul

Gamma ray bursts are excellent candidates to constrain physical models which break Lorentz symmetry. We consider deformed dispersion relations which break the boost invariance and lead to an energy-dependent speed of light. In these models,…

Astrophysics · Physics 2009-11-11 Maria Rodriguez Martinez , Tsvi Piran

If Lorentz violation exists, it will affect the thresholds for pair creation processes. Lorentz-violating operators that change the maximum velocities of charged particles may increase or decrease the extinction rate of gamma-rays moving…

High Energy Physics - Phenomenology · Physics 2008-11-26 Brett Altschul

We use the recent reanalysis of multi-TeV gamma-ray observations of Mrk 501 to constrain the Lorentz invariance breaking parameter involving the maximum electron velocity. Our limit is two orders of magnitude better than that obtained from…

Astrophysics · Physics 2011-06-09 F. W. Stecker , Sheldon L. Glashow

Relativistic Invariance might be modified by Quantum Gravity effects. The interesting point which emerged in the last fifteen years is that remnants of possible Lorentz Invariance Violations could be present at energies much lower than…

High Energy Astrophysical Phenomena · Physics 2014-08-25 Roberto Aloisio , Denise Boncioli , Armando di Matteo , Piera L. Ghia , Aurelio F. Grillo , Sergio Petrera , Francesco Salamida

Lorentz invariance is such a basic principle in fundamental physics that it must be constantly tested and that any proposal of its violation and breakdown of CPT symmetry, that might characterize some approaches to quantum gravity, should…

High Energy Physics - Phenomenology · Physics 2025-08-18 Chengyi Li , Bo-Qiang Ma

High-energy neutrino astronomy will be capable of observing particles at both extremely high energies and over extremely long baselines. These features make such experiments highly sensitive to the effects of CPT and Lorentz violation. In…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dan Hooper , Dean Morgan , Elizabeth Winstanley

This is an introductory review about the on-going search for a signal of Lorentz Invariance Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on rays of ultra high energy (UHECRs). We discuss the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wolfgang Bietenholz

The relation between the violation of Lorentz invariance and the dynamical effects in high energy gamma rays production is discussed. By using the framework of noncommutative classical electrodynamics, it is shown that full dynamical…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Castorina , A. Iorio , D. Zappala'

Some models for quantum gravity (QG) violate Lorentz invariance and predict an energy dependence of the speed of light, leading to a dispersion of high-energy gamma-ray signals that travel over cosmological distances. Limits on the…

High Energy Astrophysical Phenomena · Physics 2009-04-21 Robert Wagner

One of the manifestations of Lorentz invariance violation (LIV) is vacuum birefringence, which leads to an energy-dependent rotation of the polarization plane of linearly polarized photons arising from an astrophysical source. Here we use…

High Energy Astrophysical Phenomena · Physics 2025-03-25 Jun-Jie Wei

Extremely high-energy(EHE) cosmic rays might provide a chance to check a violation of the Lorentz symmetry of spacetime. Some theoretical consideration is described about why the Lorentz symmetry might break-down in EHE phenomena in this…

Astrophysics · Physics 2007-05-23 Humitaka Sato

Lorentz invariance violation (LIV) is often described by dispersion relations of the form $E_i^2=m_i^2+p_i^2+\delta_{i,n} E^{2+n}$ with delta different based on particle type $i$, with energy $E$, momentum $p$ and rest mass $m$. Kinematics…

High Energy Astrophysical Phenomena · Physics 2022-01-20 The Pierre Auger Collaboration , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , K. Almeida Cheminant , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , E. Arnone , J. C. Arteaga Velázquez , H. Asorey , P. Assis , G. Avila , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , G. Bhatta , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , C. Bleve , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , P. G. Brichetto Orchera , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , K. S. Caballero-Mora , L. Caccianiga , F. Canfora , I. Caracas , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , D. Correia dos Santos , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , M. del Río , O. Deligny , L. Deval , A. di Matteo , M. Dobre , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fitoussi , T. Fodran , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , P. Janecek , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , N. Karastathis , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Kleinfeller , F. Knapp , N. Kunka , B. L. Lago , R. G. Lang , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , L. Lu , Q. Luce , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , L. Morejon , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , A. Nasr-Esfahani , L. Nellen , G. Nicora , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , C. Oliveira , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , J. Peña-Rodriguez , E. E. Pereira Martins , J. Perez Armand , C. Pérez Bertolli , M. Perlin , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Segreto , S. Sehgal , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Smau , R. Šmída , P. Sommers , J. F. Soriano , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , Z. Szadkowski , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , Z. Torrès , A. Travaini , P. Travnicek , C. Trimarelli , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , L. Valore , E. Varela , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , C. Watanabe , A. A. Watson , A. Weindl , L. Wiencke , H. Wilczyński , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer

Lorentz invariance (LI) is a foundational principle of modern physics, yet its possible violation (LIV) remains an intriguing window to physics beyond the Standard Model. While stringent constraints exist in the electromagnetic and hadronic…

High Energy Physics - Phenomenology · Physics 2025-12-30 Z. Kepuladze , J. Jejelava

Cosmic messengers (gamma rays, cosmic rays, neutrinos and gravitational waves) provide a powerful complementary way to search for Lorentz invariance violating effects to laboratory-based experiments. The long baselines and high energies…

High Energy Astrophysical Phenomena · Physics 2022-09-15 Carlos Pérez de los Heros , Tomislav Terzić