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Lorentz invariance violation (LIV) is a phenomenon featuring in various quantum gravity models whereby Lorentz symmetry is broken at high energies, potentially impacting the behaviour of particles and their interactions. Here we investigate…

High Energy Astrophysical Phenomena · Physics 2025-06-30 Andrey Saveliev , Rafael Alves Batista

We investigate the impact of Lorentz invariance violation (LIV) on radiation processes in astrophysical sources, focusing on synchrotron and inverse Compton interactions. We derive modified expressions for radiated power and photon energy…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Matheus Duarte , Vitor de Souza

Lorentz invariance violation (LIV) can have multiple consequences on very-high energy gamma rays' emission, propagation, and detection, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Tomislav Terzić , Karlo Mrakovčić

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 is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

We investigate the effects of Lorentz invariance violation (LIV) on photon interactions, considering both intergalactic propagation (Breit-Wheeler process) and atmospheric interactions (Bethe-Heitler process). By incorporating LIV into the…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Denise Boncioli , Valdir Barbosa Bezerra , Matteo Giammarco , Iarley Pereira Lobo , Pedro Morais , Francesco Salamida

Testing Lorentz invariance is essential as it is one of the pillars of modern physics. Moreover, its violation is foreseen in several popular Quantum Gravity models. Several authors study the effects of Lorentz invariance violation (LIV) in…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Rodrigo Guedes Lang , Vitor de Souza

Lorentz invariance violation (LIV) in gamma rays can have multiple consequences, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified electromagnetic interaction. Depending on how LIV is…

High Energy Astrophysical Phenomena · Physics 2025-03-10 Tomislav Terzić

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

Very high-energy astrophysical gamma rays suffer a suppression of their flux along their propagation due to their interaction, through the $\gamma\gamma\to e^+e^-$ pair-production process, with the soft photon backgrounds present in the…

High Energy Physics - Phenomenology · Physics 2024-10-03 J. M. Carmona , J. L. Cortés , F. Rescic , M. A. Reyes , T. Terzić , F. I. Vrban

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

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'

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

Familiar concepts in physics, such as Lorentz symmetry, are expected to be broken at energies approaching the Planck energy scale as predicted by several quantum-gravity theories. However, such very large energies are unreachable by current…

High Energy Astrophysical Phenomena · Physics 2023-11-22 Hassan Abdalla , Garret Cotter , Michael Backes , Eli Kasai , Markus Böttcher

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

Lorentz invariance violation (LIV) has long been recognized as an observable low-energy signature of quantum gravity. In spite of a great effort to detect LIV effects, so far only lower bounds have been derived. The high energy photons from…

High Energy Astrophysical Phenomena · Physics 2025-04-04 Giorgio Galanti , Marco Roncadelli

Lorentz invariance violation (LIV) introduced as a generic modification to particle dispersion relations can change the photon energy threshold of pair-production, which modifies the expected gamma-ray flux from astrophysical sources. In…

High Energy Astrophysical Phenomena · Physics 2019-01-11 Humberto Martínez-Huerta , Rodrigo G. Lang , Vitor de Souza

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

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
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