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This is an introductory review about the on-going search for a signal of Lorentz Invariance Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on rays of ultra high energy (UHECRs). We discuss the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wolfgang Bietenholz

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

Observations of the multi-TeV spectra of the nearby BL objects Mkn 421 and Mkn 501 exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions, primarily with infrared photons having a flux level as…

Astrophysics · Physics 2015-06-24 F. W. Stecker

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

We constrain the possibility of a non-trivial refractive index in free space corresponding to an energy-dependent velocity of light: c(E) \simeq c_0 (1 - E/M), where M is a mass scale that might represent effect of quantum-gravitational…

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

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

Quantum-gravity (QG) effects might generate Lorentz invariance violation by the interaction of energetic particles with the foamy structure of the space-time. As a consequence, particles may not travel at the universal speed of light. We…

High Energy Physics - Phenomenology · Physics 2015-06-12 Sovan Chakraborty , Alessandro Mirizzi , Günter Sigl

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

The average time delay of photons due to multiple interactions with gravitons of the background is computed in a frame of the model of low-energy quantum gravity by the author. The two variants of evaluation of the lifetime of a virtual…

General Physics · Physics 2009-07-09 Michael A. Ivanov

The search of violation of Lorentz symmetry, or Lorentz violation (LV), is an active research field. The effects of LV are expected to be very small and special systems are often used to search it. High-energy astrophysical neutrinos offer…

High Energy Physics - Phenomenology · Physics 2021-12-14 Carlos A. Argüelles , Teppei Katori

From recent observations of gamma-ray bursts (GRBs), it appears that spectral time lags between higher-energy gamma rays photons and lower-energy photons vary with energy difference and time (distance) traveled. These lags appear to be…

Astrophysics · Physics 2010-04-05 Theodore G. Pavlopoulos

Extremely high-energy(EHE) cosmic rays might provide a chance to check a violation of the Lorentz symmetry of spacetime. Some theoretical consideration is described about why the Lorentz symmetry might break-down in EHE phenomena in this…

Astrophysics · Physics 2007-05-23 Humitaka Sato

Quantum gravity (QG) theories over the past fifty years have sought to understand the relationship between the four fundamental interactions. A major insight gained in this area is that all interactions could possibly unify at Planck-scale…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Benjamin Zitzer

Gamma-ray bursts (GRBs) are widely suggested as potential sources of ultrahigh-energy cosmic rays (UHECRs). The kinetic energy of the jets dissipates, leading to the production of an enormous amount of $\gamma$-ray photons and possibly also…

High Energy Astrophysical Phenomena · Physics 2025-01-17 Xing-Fu Zhang , Ruo-Yu Liu , Hai-Ming Zhang , Yi-Yun Huang , B. Theodore Zhang , Xiang-Yu Wang

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

Emission of high energy (HE) photons above 100 MeV that is delayed and lasts much longer than the prompt MeV emission has been detected from several long duration gamma ray bursts (LGRBs) and short hard bursts (SHBs) by the Compton, Fermi…

High Energy Astrophysical Phenomena · Physics 2009-11-18 Shlomo Dado , Arnon Dar

In previous papers (e.g. physics/0003080 and references therein), it was pointed out that Lorentz symmetry violation (LSV) at Planck scale can play a crucial role in astrophysical processes at very high energy. It can potentially inhibit…

Astrophysics · Physics 2009-10-31 Luis Gonzalez-Mestres

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

Five TeV neutrino events weakly correlated with five gamma-ray bursts (GRBs) were detected recently by IceCube. This work is an attempt to show that if the GRB identifications are verified, the observed time delays between the TeV neutrinos…

High Energy Astrophysical Phenomena · Physics 2016-08-24 Jun-Jie Wei , Xue-Feng Wu , He Gao , Peter Mészáros