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It was recently proposed that a giant flare of the blazar PKS B1424-418 at redshift $z=1.522$ is in association with a PeV-energy neutrino event detected by IceCube. Based on this association we here suggest that the flight time difference…

High Energy Astrophysical Phenomena · Physics 2016-04-14 Zi-Yi Wang , Ruo-Yu Liu , Xiang-Yu Wang

The detection of the high-energy ($\sim290$ TeV) neutrino coincident with the flaring blazar TXS 0506+056, the first and only $3\sigma$ neutrino-source association to date, provides new, multimessenger tests of the weak equivalence…

High Energy Astrophysical Phenomena · Physics 2019-01-30 Jun-Jie Wei , Bin-Bin Zhang , Lang Shao , He Gao , Ye Li , Qian-Qing Yin , Xue-Feng Wu , Xiang-Yu Wang , Bing Zhang , Zi-Gao Dai

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 detection of high-energy neutrino coincident with the blazar TXS 0506+056 provides a unique opportunity to test Lorentz invariance violation (LIV) in the neutrino sector. Thanks to the precisely measured redshift, i.e., $z=0.3365$, the…

High Energy Astrophysical Phenomena · Physics 2022-11-23 Kai Wang , Shao-Qiang Xi , Lijing Shao , Ruo-Yu Liu , Zhuo Li , Zhong-Kai Zhang

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

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

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

Discovering Lorentz-invariance violation (LIV) would upend the foundations of modern physics. Because LIV effects grow with energy, high-energy astrophysical neutrinos provide the most sensitive tests of Lorentz invariance in the neutrino…

High Energy Physics - Phenomenology · Physics 2026-02-10 Bernanda Telalovic , Mauricio Bustamante

Modifications inspired by quantum gravity in the kinematics of special relativity can manifest in various ways, including anomalies in the time of flight of massless particles and the emergence of decay channels for otherwise stable…

High Energy Physics - Phenomenology · Physics 2026-01-22 J. M. Carmona , J. L. Cortés , M. A. Reyes

Due to quantum gravity fluctuations at the Planck scale, the space-time manifold is no longer continuous, but discretized. As a result the Lorentz symmetry is broken at very high energies. In this article, we study the neutrino oscillation…

High Energy Physics - Phenomenology · Physics 2012-08-01 Iman Motie , She-Sheng Xue

High-energy astrophysics observations provide the best possibilities to detect a very small violation of Lorentz invariance, such as may be related to the structure of space-time near the Planck scale. I discuss the possible signatures of…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Floyd W. Stecker

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

Neutrino telescopes have detected astrophysical neutrinos with energies up to ${O}(100)$ PeV. Several current and proposed experiments aim to observe neutrinos at even higher energies, with the goal of detecting cosmogenic neutrinos. This…

High Energy Physics - Phenomenology · Physics 2026-04-23 Vedran Brdar , Samiur R. Mir

The observation by the IceCube Collaboration of a high-energy ($E \gtrsim 200$ TeV) neutrino from the direction of the blazar TXS 0506+056 and the coincident observations of enhanced $\gamma$-ray emissions from the same object by MAGIC and…

High Energy Astrophysical Phenomena · Physics 2018-12-26 John Ellis , Nikolaos E. Mavromatos , Alexander S. Sakharov , Edward K. Sarkisyan-Grinbaum

Aims: The aim of the present study is to explore how to disentangle energy-dependent time delays due to a possible Lorentz invariance violation (LIV) at Planck scale from intrinsic delays expected in standard blazar flares. Methods: We…

High Energy Astrophysical Phenomena · Physics 2024-09-18 C. Levy , H. Sol , J. Bolmont

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

Some Quantum Gravity (QG) theories, aiming at unifying general relativity and quantum mechanics, predict an energy-dependent modified dispersion relation for photons in vacuum leading to a Violation of Lorentz Invariance (LIV). One way to…

High Energy Astrophysical Phenomena · Physics 2021-10-14 Christelle Levy , Hélène Sol , Julien Bolmont

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

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

Sensitive tests of Lorentz invariance can emerge from the study of neutrino oscillations, particularly for atmospheric neutrinos where the effect is conveniently near-maximal and has been observed over a wide range of energies. We assume…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sheldon Lee Glashow
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