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The Lorentz Invariance Violation (LIV), a proposed consequence of certain quantum gravity (QG) scenarios, could instigate an energy-dependent group velocity for ultra-relativistic particles. This energy dependence, although suppressed by…

High Energy Astrophysical Phenomena · Physics 2025-02-06 MAGIC Collaboration , S. Abe , J. Abhir , A. Abhishek , V. A. Acciari , A. Aguasca-Cabot , I. Agudo , T. Aniello , S. Ansoldi , L. A. Antonelli , A. Arbet Engels , C. Arcaro , M. Artero , K. Asano , A. Babić , A. Baquero , U. Barres de Almeida , J. A. Barrio , I. Batković , A. Bautista , J. Baxter , J. Becerra González , W. Bednarek , E. Bernardini , J. Bernete , A. Berti , J. Besenrieder , C. Bigongiari , A. Biland , O. Blanch , G. Bonnoli , Ž. Bošnjak , E. Bronzini , I. Burelli , G. Busetto , A. Campoy-Ordaz , A. Carosi , R. Carosi , M. Carretero-Castrillo , A. J. Castro-Tirado , D. Cerasole , G. Ceribella , Y. Chai , A. Cifuentes , E. Colombo , J. L. Contreras , J. Cortina , S. Covino , G. D'Amico , V. D'Elia , P. Da Vela , F. Dazzi , A. De Angelis , B. De Lotto , R. de Menezes , A. Del Popolo , M. Delfino , J. Delgado , C. Delgado Mendez , F. Di Pierro , R. Di Tria , L. Di Venere , A. Donini , D. Dorner , M. Doro , D. Elsaesser , G. Emery , J. Escudero , L. Fariña , A. Fattorini , L. Foffano , L. Font , S. Fröse , S. Fukami , Y. Fukazawa , R. J. García López , M. Garczarczyk , S. Gasparyan , M. Gaug , J. G. Giesbrecht Paiva , N. Giglietto , F. Giordano , P. Gliwny , N. Godinović , T. Gradetzke , R. Grau , D. Green , J. G. Green , P. Günther , D. Hadasch , A. Hahn , T. Hassan , L. Heckmann , J. Herrera Llorente , D. Hrupec , M. Hütten , R. Imazawa , K. Ishio , I. Jiménez Martínez , J. Jormanainen , S. Kankkunen , T. Kayanoki , D. Kerszberg , G. W. Kluge , Y. Kobayashi , P. M. Kouch , H. Kubo , J. Kushida , M. Láinez , A. Lamastra , F. Leone , E. Lindfors , L. Linhoff , S. Lombardi , F. Longo , R. López-Coto , M. López-Moya , A. López-Oramas , S. Loporchio , A. Lorini , E. Lyard , B. Machado de Oliveira Fraga , P. Majumdar , M. Makariev , G. Maneva , M. Manganaro , S. Mangano , K. Mannheim , M. Mariotti , M. Martínez , M. Martínez-Chicharro , A. Mas-Aguilar , D. Mazin , S. Menchiari , S. Mender , D. Miceli , T. Miener , J. M. Miranda , R. Mirzoyan , M. Molero González , E. Molina , H. A. Mondal , A. Moralejo , D. Morcuende , T. Nakamori , C. Nanci , V. Neustroev , L. Nickel , M. Nievas Rosillo , C. Nigro , L. Nikolić , K. Nilsson , K. Nishijima , T. Njoh Ekoume , K. Noda , L. Nogues , S. Nozaki , Y. Ohtani , A. Okumura , J. Otero-Santos , S. Paiano , M. Palatiello , D. Paneque , R. Paoletti , J. M. Paredes , M. Peresano , M. Persic , M. Pihet , G. Pirola , F. Podobnik , P. G. Prada Moroni , E. Prandini , G. Principe , C. Priyadarshi , W. Rhode , M. Ribó , J. Rico , C. Righi , N. Sahakyan , T. Saito , F. G. Saturni , B. Schleicher , K. Schmidt , F. Schmuckermaier , J. L. Schubert , T. Schweizer , A. Sciaccaluga , G. Silvestri , J. Sitarek , V. Sliusar , D. Sobczynska , A. Stamerra , J. Strišković , D. Strom , Y. Suda , H. Tajima , M. Takahashi , R. Takeishi , F. Tavecchio , P. Temnikov , K. Terauchi , T. Terzić , M. Teshima , S. Truzzi , A. Tutone , S. Ubach , J. van Scherpenberg , M. Vazquez Acosta , S. Ventura , I. Viale , C. F. Vigorito , V. Vitale , I. Vovk , R. Walter , M. Will , C. Wunderlich , T. Yamamoto

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

Spontaneous breaking of Lorentz symmetry at energies on the order of the Planck energy or lower is predicted by many quantum gravity theories, implying non-trivial dispersion relations for the photon in vacuum. Consequently, gamma-rays of…

High Energy Astrophysical Phenomena · Physics 2020-01-29 MAGIC Collaboration , M. L. Ahnen , S. Ansoldi , L. A. Antonelli , C. Arcaro , A. Babić , B. Banerjee , P. Bangale , U. Barres de Almeida , J. A. Barrio , J. Becerra González , W. Bednarek , E. Bernardini , A. Berti , W. Bhattacharyya , B. Biasuzzi , A. Biland , O. Blanch , S. Bonnefoy , G. Bonnoli , R. Carosi , A. Carosi , A. Chatterjee , S. M. Colak , P. Colin , E. Colombo , J. L. Contreras , J. Cortina , S. Covino , P. Cumani , P. Da Vela , F. Dazzi , A. De Angelis , B. De Lotto , E. de Oã Wilhelmi , F. Di Pierro , M. Doert , A. Domínguez , D. Dominis Prester , D. Dorner , M. Doro , S. Einecke , D. Eisenacher Glawion , D. Elsaesser , M. Engelkemeier , V. Fallah Ramazani , A. Fernández-Barral , D. Fidalgo , M. V. Fonseca , L. Font , C. Fruck , D. Galindo , R. J. García López , M. Garczarczyk , D. Garrido , M. Gaug , P. Giammaria , N. Godinović , D. Gora , D. Guberman , D. Hadasch , A. Hahn , T. Hassan , M. Hayashida , J. Herrera , J. Hose , D. Hrupec , T. Inada , K. Ishio , Y. Konno , H. Kubo , J. Kushida , D. Kuveždić , D. Lelas , E. Lindfors , S. Lombardi , F. Longo , M. López , C. Maggio , P. Majumdar , M. Makariev , G. Maneva , M. Manganaro , K. Mannheim , L. Maraschi , M. Mariotti , M. Martínez , D. Mazin , U. Menzel , M. Minev , R. Mirzoyan , A. Moralejo , V. Moreno , E. Moretti , V. Neustroev , A. Niedzwiecki , M. Nievas Rosillo , K. Nilsson , D. Ninci , K. Nishijima , K. Noda , L. Nogués , S. Paiano , J. Palacio , D. Paneque , R. Paoletti , J. M. Paredes , G. Pedaletti , M. Peresano , L. Perri , M. Persic , P. G. Prada Moroni , E. Prandini , I. Puljak , J. R. Garcia , I. Reichardt , W. Rhode , M. Ribó , J. Rico , C. Righi , T. Saito , K. Satalecka , S. Schroeder , T. Schweizer , J. Sitarek , I. Šnidarić , D. Sobczynska , A. Stamerra , M. Strzys , T. Surić , L. Takalo , F. Tavecchio , P. Temnikov , T. Terzić , D. Tescaro , M. Teshima , D. F. Torres , N. Torres-Albà , A. Treves , G. Vanzo , M. Vazquez Acosta , I. Vovk , J. E. Ward , M. Will , D. Zarić

Lorentz invariance violation (LIV) is a proposed phenomenon where Lorentz symmetry is violated at high energies, potentially affecting particle dynamics and interactions. We use numerical simulations with the CRPropa framework to…

High Energy Astrophysical Phenomena · Physics 2023-07-24 Andrey Saveliev , Rafael Alves Batista

Lorentz-invariance violation (LV) at energy scales approaching the Planck regime serves as a critical probe for understanding quantum gravity phenomenology. Astrophysical observations of gamma-ray bursts (GRBs) present a promising avenue…

High Energy Physics - Phenomenology · Physics 2025-05-12 Hanlin Song , Bo-Qiang Ma

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

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'

The air shower array Carpet-3 detected a 300 TeV photon from the direction of GRB 221009A at 4536 s after the Fermi-GBM trigger for this event. If the association with this gamma-ray burst is real, it poses two puzzles. First, why was this…

High Energy Astrophysical Phenomena · Physics 2025-10-28 Dmitry D. Ofengeim , Tsvi Piran

Recently the LHAASO Collaboration published the detection of 12 ultra-high-energy gamma-ray sources above 100 TeV, with the highest energy photon reaching 1.4 PeV. The first detection of PeV gamma rays from astrophysical sources may provide…

High Energy Astrophysical Phenomena · Physics 2026-01-13 Zhen Cao , F. Aharonian , Q. An , Axikegu , L. X. Bai , Y. X. Bai , Y. W. Bao , D. Bastieri , X. J. Bi , Y. J. Bi , H. Cai , J. T. Cai , Zhe Cao , J. Chang , J. F. Chang , B. M. Chen , E. S. Chen , J. Chen , Liang Chen , Liang Chen , Long Chen , M. J. Chen , M. L. Chen , Q. H. Chen , S. H. Chen , S. Z. Chen , T. L. Chen , X. L. Chen , Y. Chen , N. Cheng , Y. D. Cheng , S. W. Cui , X. H. Cui , Y. D. Cui , B. D'Ettorre Piazzoli , B. Z. Dai , H. L. Dai , Z. G. Dai , Danzengluobu , D. della Volpe , X. J. Dong , K. K. Duan , J. H. Fan , Y. Z. Fan , Z. X. Fan , J. Fang , K. Fang , C. F. Feng , L. Feng , S. H. Feng , Y. L. Feng , B. Gao , C. D. Gao , L. Q. Gao , Q. Gao , W. Gao , M. M. Ge , L. S. Geng , G. H. Gong , Q. B. Gou , M. H. Gu , F. L. Guo , J. G. Guo , X. L. Guo , Y. Q. Guo , Y. Y. Guo , Y. A. Han , H. H. He , H. N. He , J. C. He , S. L. He , X. B. He , Y. He , M. Heller , Y. K. Hor , C. Hou , X. Hou , H. B. Hu , S. Hu , S. C. Hu , X. J. Hu , D. H. Huang , Q. L. Huang , W. H. Huang , X. T. Huang , X. Y. Huang , Z. C. Huang , F. Ji , X. L. Ji , H. Y. Jia , K. Jiang , Z. J. Jiang , C. Jin , T. Ke , D. Kuleshov , K. Levochkin , B. B. Li , Cheng Li , Cong Li , F. Li , H. B. Li , H. C. Li , H. Y. Li , Jian Li , Jie Li , K. Li , W. L. Li , X. R. Li , Xin Li , Xin Li , Y. Li , Y. Z. Li , Zhe Li , Zhuo Li , E. W. Liang , Y. F. Liang , S. J. Lin , B. Liu , C. Liu , D. Liu , H. Liu , H. D. Liu , J. Liu , J. L. Liu , J. S. Liu , J. Y. Liu , M. Y. Liu , R. Y. Liu , S. M. Liu , W. Liu , Y. Liu , Y. N. Liu , Z. X. Liu , W. J. Long , R. Lu , H. K. Lv , B. Q. Ma , L. L. Ma , X. H. Ma , J. R. Mao , A. Masood , Z. Min , W. Mitthumsiri , T. Montaruli , Y. C. Nan , B. Y. Pang , P. Pattarakijwanich , Z. Y. Pei , M. Y. Qi , Y. Q. Qi , B. Q. Qiao , J. J. Qin , D. Ruffolo , V. Rulev , A. S'aiz , L. Shao , O. Shchegolev , X. D. Sheng , J. R. Shi , H. C. Song , Yu. V. Stenkin , V. Stepanov , Y. Su , Q. N. Sun , X. N. Sun , Z. B. Sun , P. H. T. Tam , Z. B. Tang , W. W. Tian , B. D. Wang , C. Wang , H. Wang , H. G. Wang , J. C. Wang , J. S. Wang , L. P. Wang , L. Y. Wang , R. N. Wang , W. Wang , W. Wang , X. G. Wang , X. J. Wang , X. Y. Wang , Y. Wang , Y. D. Wang , Y. J. Wang , Y. P. Wang , Z. H. Wang , Z. X. Wang , Zhen Wang , Zheng Wang , D. M. Wei , J. J. Wei , Y. J. Wei , T. Wen , C. Y. Wu , H. R. Wu , S. Wu , W. X. Wu , X. F. Wu , S. Q. Xi , J. Xia , J. J. Xia , G. M. Xiang , D. X. Xiao , G. Xiao , H. B. Xiao , G. G. Xin , Y. L. Xin , Y. Xing , D. L. Xu , R. X. Xu , L. Xue , D. H. Yan , J. Z. Yan , C. W. Yang , F. F. Yang , J. Y. Yang , L. L. Yang , M. J. Yang , R. Z. Yang , S. B. Yang , Y. H. Yao , Z. G. Yao , Y. M. Ye , L. Q. Yin , N. Yin , X. H. You , Z. Y. You , Y. H. Yu , Q. Yuan , H. D. Zeng , T. X. Zeng , W. Zeng , Z. K. Zeng , M. Zha , X. X. Zhai , B. B. Zhang , H. M. Zhang , H. Y. Zhang , J. L. Zhang , J. W. Zhang , L. X. Zhang , Li Zhang , Lu Zhang , P. F. Zhang , P. P. Zhang , R. Zhang , S. R. Zhang , S. S. Zhang , X. Zhang , X. P. Zhang , Y. F. Zhang , Y. L. Zhang , Yi Zhang , Yong Zhang , B. Zhao , J. Zhao , L. Zhao , L. Z. Zhao , S. P. Zhao , F. Zheng , Y. Zheng , B. Zhou , H. Zhou , J. N. Zhou , P. Zhou , R. Zhou , X. X. Zhou , C. G. Zhu , F. R. Zhu , H. Zhu , K. J. Zhu , X. Zuo

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

The recent HEGRA observations of the blazar Mkn 501 show strong curvature in the very high energy gamma-ray spectrum. Applying the gamma-ray opacity derived from an empirically based model of the intergalactic infrared background radiation…

It has been recently observed that small violations of Lorentz invariance, of a type which may arise in quantum gravity, could explain both the observations of cosmic rays above the GZK cutoff and the observations of 20-TeV gamma rays from…

High Energy Physics - Phenomenology · Physics 2016-09-06 Giovanni Amelino-Camelia , Tsvi Piran

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

Modern ideas in quantum gravity predict the possibility of Lorenz Invariance Violation (LIV) manifested e.g. by energy dependent modification of standard relativistic dispersion relation. In a recent paper Jacob and Piran proposed that time…

Astrophysics · Physics 2009-06-30 Marek Biesiada , Aleksandra Piórkowska

With the arrival of powerful, ground-based gamma-ray detectors, we can now begin to seriously probe, via simultaneous X-ray/TeV observations, the origin of the gamma-ray emission in the blazars Mrk 421 and 501. If the synchrotron-Compton…

Astrophysics · Physics 2011-04-15 Paolo S. Coppi Felix A. Aharonian

The Large High Altitude Air Shower Observatory~(LHAASO) reported observation of photons with energies above 10~TeV from gamma-ray burst GRB 221009A. A suggestion was proposed that this result may contradict our knowledge of special…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Hao Li , Bo-Qiang Ma

Some Quantum Gravity models predict a violation of Lorentz invariance. Namely, the velocity of photons in vacuum could depend on their energies. One possibility for Lorentz Invariance Violation (LIV) searches is to look for energy-dependent…

High Energy Astrophysical Phenomena · Physics 2017-09-14 C. Perennes , H. Sol , J. Bolmont

Lorentz invariance violation~(LIV) can change the threshold behavior predicted by special relativity and cause threshold anomalies which affect the propagation of cosmic photons. In this work, we focus on the threshold anomaly effect on…

High Energy Astrophysical Phenomena · Physics 2023-03-07 Hao Li , Bo-Qiang Ma

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

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