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The preliminary detections of the gamma-ray burst 221009A up to 18 TeV by LHAASO and up to 251 TeV by Carpet 2 have been reported through Astronomer's Telegrams and Gamma-ray Coordination Network circulars. Since this burst is at redshift…

High Energy Astrophysical Phenomena · Physics 2023-02-14 Justin D. Finke , Soebur Razzaque

We discuss the effect of hypothetical violation of Lorentz invariance at high energies on the formation of atmospheric showers by very-high-energy gamma rays. In the scenario where Lorentz invariance violation leads to a decrease of the…

High Energy Astrophysical Phenomena · Physics 2017-05-31 Grigory Rubtsov , Petr Satunin , Sergey Sibiryakov

Lorentz Invariance Violation (LIV) arises in various quantum-gravity theories. As the typical energy for quantum gravity is the Planck mass, $M_{pl}$, LIV will, most likely, be manifested at very high energies that are not accessible on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Uri Jacob , Tsvi Piran

Some extensions to the Standard Model lead to the introduction of Lorentz symmetry breaking terms, expected to induce deviations from Lorentz symmetry around the Planck scale. A parameterization of effects due to Lorentz invariance…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Matthias Lorentz , Pierre Brun

Models of quantum gravity suggest that the vacuum should be regarded as a medium with quantum structure that may have non-trivial effects on photon propagation, including the violation of Lorentz invariance. Fermi Large Area Telescope (LAT)…

High Energy Astrophysical Phenomena · Physics 2019-04-24 John Ellis , Rostislav Konoplich , Nikolaos E. Mavromatos , Linh Nguyen , Alexander S. Sakharov , Edward K. Sarkisyan-Grinbaum

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

We present new two-sided constraints on Lorentz Invariance violation energy scale for photons with quartic dispersion relation from recent gamma ray observations by Tibet-AS$\gamma$ and LHAASO experiments. The constraints are based on the…

High Energy Physics - Phenomenology · Physics 2021-08-26 Petr Satunin

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

We point out that violation of Lorentz invariance affects the interaction of high-energy photons with the Earth's atmosphere and magnetic field. In certain parameter region this interaction becomes suppressed and the photons escape…

High Energy Astrophysical Phenomena · Physics 2014-07-01 Grigory Rubtsov , Petr Satunin , Sergey Sibiryakov

The rapid variability observed in very-high-energy (VHE) sources-such as pulsars, gamma-ray bursts (GRBs), and flares from active galactic nuclei (AGN)-can be used to detect or constrain a potential violation of Lorentz invariance (LIV).…

High Energy Astrophysical Phenomena · Physics 2026-04-14 Cyann Plard , Sami Caroff , the CTAO-LST project

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

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

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

In this paper, Lorentz Invariance Violation (LIV) is introduced in the calculations of photon propagation in the Universe. LIV is considered in the photon sector and the mean free path of the $\gamma \gamma \rightarrow e^{+} e^{-}$…

High Energy Astrophysical Phenomena · Physics 2018-01-19 Rodrigo Guedes Lang , Humberto Martínez-Huerta , Vitor de Souza

Various approaches to quantum gravity suggest the possibility of violation of Lorentz symmetry at very high energies. In these cases we expect a modification at low energies of the dispersion relation of photons that contains extra powers…

Astrophysics · Physics 2015-06-24 Maria Rodriguez Martinez , Tsvi Piran , Yonatan Oren

We present shower formation constraints on the Lorentz Invariance Violation (LIV) energy scale for photons with cubic dispersion relation from recent gamma ray observations in $100$ TeV -- PeV energy range by LHAASO observatory. We assume…

High Energy Physics - Phenomenology · Physics 2024-07-04 Petr Satunin , Andrey Sharofeev

Lorentz Invariance Violation (LIV) may be a good observational window on Quantum Gravity physics. Within last few years, all major Gamma-ray experiments have published results from the search for LIV with variable astrophysical sources:…

High Energy Astrophysical Phenomena · Physics 2011-02-22 J. Bolmont , A. Jacholkowska

Highly energetic, variable and distant sources such as Active Galactic Nuclei provide a good opportunity to evaluate effects due to the emission and the propagation of high energy photons. In this note, a study of possible energy-dependent…

General Relativity and Quantum Cosmology · Physics 2019-08-14 J. Bolmont , R. Buehler , A. Jacholkowska , S. J. Wagner

Lorentz invariance is one of the fundamental tenets of Special Relativity, and has been extensively tested with laboratory and astrophysical observations. However, many quantum gravity models and theories beyond the Standard Model of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Shantanu Desai

The Lorentz violation~(LV) effect of ultra-relativistic particles can be tested by gamma-ray burst~(GRB) neutrinos and photons. The IceCube Collaboration has observed plenty of ultra-high energy neutrinos, including four events of PeV scale…

High Energy Physics - Phenomenology · Physics 2018-10-04 Yanqi Huang , Bo-Qiang Ma