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Lorentz invariant violation (LIV) test is very important to study in the new physics. All the known astrophysical constraints either have a very small examinable parameter space, or are only suitable for some special theoretical models.…

Astrophysics · Physics 2009-08-07 Cong-Xin Qiu , Zi-Gao Dai

The constancy of light speed is a basic assumption in Einstein's special relativity, and consequently the Lorentz invariance is a fundamental symmetry of space-time in modern physics. However, it is speculated that the speed of light…

High Energy Physics - Phenomenology · Physics 2015-11-23 Shu Zhang , Bo-Qiang Ma

Neutrinos are the fundamental particles, blind to all kind of interactions except the weak and gravitational. Hence, they can propagate very long distances without any deviation. This characteristic property can thus provide an ideal…

High Energy Physics - Phenomenology · Physics 2020-05-20 Rudra Majhi , Soumya C , Rukmani Mohanta

This article reviews many of the observational constraints on Lorentz symmetry violation (LV). We first describe the GZK cutoff and other phenomena that are sensitive to LV. After a brief historical sketch of research on LV, we discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ted Jacobson , Stefano Liberati , David Mattingly

The blazar Mrk 501 (z=0.034) was observed at very-high-energy (VHE, $E\gtrsim 100$~GeV) gamma-ray wavelengths during a bright flare on the night of 2014 June 23-24 (MJD 56832) with the H.E.S.S. phase-II array of Cherenkov telescopes. Data…

High Energy Astrophysical Phenomena · Physics 2019-01-17 H. E. S. S. Collaboration , : , H. Abdalla , F. Aharonian , F. Ait Benkhali , E. O. Angüner , M. Arakawa , C. Arcaro , C. Armand , M. Arrieta , M. Backes , M. Barnard , Y. Becherini , J. Becker Tjus , D. Berge , S. Bernhard , K. Bernlöhr , R. Blackwell , M. Böttcher , C. Boisson , J. Bolmont , S. Bonnefoy , P. Bordas , J. Bregeon , F. Brun , P. Brun , M. Bryan , M. Büchele , T. Bulik , T. Bylund , M. Capasso , S. Caroff , A. Carosi , S. Casanova , M. Cerruti , N. Chakraborty , S. Chandra , R. C. G. Chaves , A. Chen , S. Colafrancesco , B. Condon , I. D. Davids , C. Deil , J. Devin , P. deWilt , L. Dirson , A. Djannati-Ataï , A. Dmytriiev , A. Donath , L. O'C. Drury , J. Dyks , K. Egberts , G. Emery , J. -P. Ernenwein , S. Eschbach , S. Fegan , A. Fiasson , G. Fontaine , S. Funk , M. Füßling , S. Gabici , Y. A. Gallant , T. Garrigoux , F. Gaté , G. Giavitto , D. Glawion , J. F. Glicenstein , D. Gottschall , M. -H. Grondin , J. Hahn , M. Haupt , G. Heinzelmann , G. Henri , G. Hermann , J. A. Hinton , W. Hofmann , C. Hoischen , T. L. Holch , M. Holler , D. Horns , D. Huber , H. Iwasaki , A. Jacholkowska , M. Jamrozy , D. Jankowsky , F. Jankowsky , L. Jouvin , I. Jung-Richardt , M. A. Kastendieck , K. Katarzyński , M. Katsuragawa , U. Katz , D. Kerszberg , D. Khangulyan , B. Khélifi , J. King , S. Klepser , W. Kluźniak , Nu. Komin , K. Kosack , S. Krakau , M. Kraus , P. P. Krüger , G. Lamanna , J. Lau , J. Lefaucheur , A. Lemière , M. Lemoine-Goumard , J. -P. Lenain , E. Leser , T. Lohse , M. Lorentz , R. López-Coto , I. Lypova , D. Malyshev , V. Marandon , A. Marcowith , C. Mariaud , G. Guillem Martí-Devesa , R. Marx , G. Maurin , P. J. Meintjes , A. M. W. Mitchell , R. Moderski , M. Mohamed , L. Mohrmann , E. Moulin , T. Murach , S. Nakashima , M. de Naurois , H. Ndiyavala , F. Niederwanger , J. Niemiec , L. Oakes , P. O'Brien , H. Odaka , S. Ohm , M. Ostrowski , I. Oya , M. Padovani , M. Panter , R. D. Parsons , C. Perennes , P. -O. Petrucci , B. Peyaud , Q. Piel , S. Pita , V. Poireau , A. Priyana Noel , D. A. Prokhorov , H. Prokoph , G. Pühlhofer , M. Punch , A. Quirrenbach , S. Raab , R. Rauth , A. Reimer , O. Reimer , M. Renaud , F. Rieger , L. Rinchiuso , C. Romoli , G. Rowell , B. Rudak , E. Ruiz-Velasco , V. Sahakian , S. Saito , D. A. Sanchez , A. Santangelo , M. Sasaki , R. Schlickeiser , F. Schüssler , A. Schulz , U. Schwanke , S. Schwemmer , M. Seglar-Arroyo , M. Senniappan , A. S. Seyffert , N. Shafi , I. Shilon , K. Shiningayamwe , R. Simoni , A. Sinha , H. Sol , F. Spanier , A. Specovius , M. Spir-Jacob , Ł. Stawarz , R. Steenkamp , C. Stegmann , C. Steppa , I. Sushch , T. Takahashi , J. -P. Tavernet , T. Tavernier , A. M. Taylor , R. Terrier , L. Tibaldo , D. Tiziani , M. Tluczykont , C. Trichard , M. Tsirou , N. Tsuji , R. Tuffs , Y. Uchiyama , D. J. van der Walt , C. van Eldik , C. van Rensburg , B. van Soelen , G. Vasileiadis , J. Veh , C. Venter , A. Viana , P. Vincent , J. Vink , F. Voisin , H. J. Völk , T. Vuillaume , Z. Wadiasingh , S. J. Wagner , P. Wagner , R. M. Wagner , R. White , A. Wierzcholska , A. Wörnlein , R. Yang , D. Zaborov , M. Zacharias , R. Zanin , A. A. Zdziarski , A. Zech , F. Zefi , A. Ziegler , J. Zorn , N. Żywucka

Although Lorentz symmetry has been tested at low energy with extremely good accuracy, its validity at very high energy is much less well established. If Lorentz symmetry violation (LSV) is energy-dependent (e.g. $\propto E^2$), it can be of…

General Physics · Physics 2016-10-26 Luis Gonzalez-Mestres

A number of works have claimed detections of a turn-over in the spectral lag data for individual Gamma-Ray Bursts (GRBs), caused by an energy-dependent speed of light, which could be a possible manifestation of Lorentz invariance violation…

High Energy Astrophysical Phenomena · Physics 2021-05-13 Rajdeep Agrawal , Haveesh Singirikonda , Shantanu Desai

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

Observable effects for the Lorentz invariance violation (LIV) at a low energy scale can also be investigated in double beta decay (DBD). For example, by comparing the theoretical predictions with a precise analysis of the summed energy…

Nuclear Theory · Physics 2020-03-12 Ovidiu Nitescu , Stefan Ghinescu , Sabin Stoica

We place several new limits on Lorentz violating effects, which can modify particles' dispersion relations, by considering the highest energy cosmic rays observed. Since these are hadrons, this involves considering the partonic content of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Olivier Gagnon , Guy D. Moore

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

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

Despite the fact that quantum gravity theory still remains elusive, it is generally expected that it will bring the picture of a space-time foam at short distances leading to Lorenz Invariance Violation (LIV) manifested e.g. by energy…

Astrophysics · Physics 2015-05-13 Marek Biesiada , Aleksandra Piórkowska

Observations of energy-dependent photon time delays from distant flaring sources provide significant constraints on Lorentz Invariance Violation (LIV). Such effects originate from modified vacuum dispersion relations, causing differences in…

High Energy Astrophysical Phenomena · Physics 2025-08-06 Merce Guerrero , Anna Campoy-Ordaz , Robertus Potting , Markus Gaug

A consistent theory of quantum gravity (QG) at Planck scale almost sure contains manifestations of Lorentz local symmetry violations (LV) which may be detected at observable scales. This can be effectively described and classified by models…

Mathematical Physics · Physics 2015-05-19 Sergiu I. Vacaru

We investigate the relativistic dynamics of a spin half particle in the presence of a Lorentz-violating background within the framework of effective field theory. A modified Dirac Hamiltonian is considered, arising from a CPT odd coupling…

High Energy Physics - Phenomenology · Physics 2026-04-10 E. Maciel , M. A. Anacleto , K. E. L. Farias , E. Passos

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

We consider the radiation emitted by an ultrarelativistic charged particle moving in a magnetic field, in the presence of an additional Lorentz-violating interaction. In contrast with prior work, we treat a form of Lorentz violation that is…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul

Multi-TeV spectra of Mkn 501 and other BL Lac objects exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions, primarily with IR photons having the flux level determined by various astrophysical…

Astrophysics · Physics 2009-11-10 F. W. Stecker

In this work, we use Lorentz invariance violation (LIV) introduced as a generic modification to particle dispersion relations to study some consequences of single photon emission, known as vacuum Cherenkov radiation, and photon decay…

High Energy Astrophysical Phenomena · Physics 2017-09-27 H. Martínez-Huerta , A. Pérez-Lorenzana