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We examine the radiative corrections to an extension of the standard model containing a Lorentz-violating axial vector parameter. At second order in this parameter, the photon self-energy is known to contain terms that violate gauge…

High Energy Physics - Theory · Physics 2008-11-26 B. Altschul

Owing to their isotropy, it is generally believed that ultrahigh energy cosmic rays (UHECRs) are extragalactic in origin. It is then expected that interactions of these cosmic rays with photons of the cosmic background radiation (CBR)…

Astrophysics · Physics 2009-11-10 F. W. Stecker , S. T. Scully

There has been much interest in possible violations of Lorentz invariance, particularly motivated by quantum gravity theories. It has been suggested that a small amount of Lorentz invariance violation (LIV) could turn off photomeson…

Astrophysics · Physics 2014-11-18 S. T. Scully , F. W. Stecker

The observation of cosmic neutrinos up to 2 PeV is used to put bounds on the energy scale of Lorentz invariance violation through the loss of energy due to the production of $e^+e^-$ pairs in the propagation of superluminal neutrinos. A…

High Energy Physics - Phenomenology · Physics 2019-12-02 J. M. Carmona , J. L. Cortes , J. J. Relancio , M. A. Reyes

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

Cosmic rays have been observed up to energies $10^8$ times larger than those of the best particle accelerators. Studies of astrophysical particles (hadrons, neutrinos and photons) at their highest observed energies have implications for…

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

The possibility that Pamir data at very high energy cannot be fully explained by standard physics has recently led to the suggestion that the peculiar jet structure observed above ~ 10E16 eV could be due to a suppression of effective space…

High Energy Astrophysical Phenomena · Physics 2010-09-30 Luis Gonzalez-Mestres

Lorentz violation at high energies might lead to non linear dispersion relations for the fundamental particles. We analyze observational constraints on these without assuming any a priori equality between the coefficients determining the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Liberati , T. A. Jacobson , D. Mattingly

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

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

The violation of Lorentz invariance (LI) has been invoked in a number of ways to explain issues dealing with ultrahigh energy cosmic ray (UHECR) production and propagation. These treatments, however, have mostly been limited to examples in…

High Energy Physics - Phenomenology · Physics 2009-11-10 James R. Chisholm , Edward W. Kolb

Violations of Lorentz invariance can lead to an energy-dependent vacuum dispersion of light, which results in arrival-time differences of photons arising with different energies from a given transient source. In this work,…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Jun-Jie Wei , Xue-Feng Wu , Bin-Bin Zhang , Lang Shao , Peter Mészáros , V. Alan Kostelecký

It has been suggested that the interactions of energetic particles with the foamy structure of space-time thought to be generated by quantum-gravitational (QG) effects might violate Lorentz invariance, so that they do not propagate at a…

High Energy Physics - Phenomenology · Physics 2009-07-22 Alexander Sakharov , John Ellis , Nicholas Harries , Anselmo Meregaglia , Andre Rubbia

The possibility of the breaking of Lorentz symmetry has been discussed in many models of quantum gravity. In this paper we follow the Lorentz violation model in Ref. [1] (i.e., our previous work) to discuss the Doppler frequency shift of…

General Physics · Physics 2025-03-06 Jinwen Hu , Huan Hu

We investigate the implications of energy-dependence of the speed of photons, one of the candidate effects of quantum-gravity theories that has been most studied recently, from the perspective of observations in different reference frames.…

High Energy Astrophysical Phenomena · Physics 2015-03-14 Uri Jacob , Flavio Mercati , Giovanni Amelino-Camelia , Tsvi Piran

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

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

The clustering of ultra high energy cosmic ray events suggests that they have originated from compact sources. One of the possible physical mechanisms by which ultra high energy nuclei reach the Earth from far away astrophysical sources…

Astrophysics · Physics 2015-06-24 Nayantara Gupta

Despite the tremendous empirical success of equivalence principle, there are several theoretical motivations for existence of a preferred reference frame (or aether) in a consistent theory of quantum gravity. However, if quantum gravity had…

High Energy Physics - Theory · Physics 2015-11-26 Niayesh Afshordi

If Lorentz invariance is broken at an energy scale Eq, as has recently been suggested in the context of attempts to quantize gravity, the kinematics of photon-photon collisions would be profoundly affected at lower energies. Specifically,…

Astrophysics · Physics 2007-05-23 W. Kluzniak