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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) manifesting itself by energy dependent modification of standard relativistic dispersion relation has recently attracted a considerable attention. Ellis et al. previously investigated the energy dependent…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Marek Biesiada , Aleksandra Piórkowska

A number of works have claimed detections of a turn-over in the spectral lag data for individual Gamma-Ray Bursts (GRBs), caused by an energy-dependent speed of light, which could be a possible manifestation of Lorentz invariance violation…

High Energy Astrophysical Phenomena · Physics 2021-05-13 Rajdeep Agrawal , Haveesh Singirikonda , Shantanu Desai

The Lorentz invariance violation (LIV) predicted by some quantum gravity theories would manifest as an energy-dependent speed of light, which may potentially distort the observed temporal profile of photons from astrophysical sources at…

High Energy Astrophysical Phenomena · Physics 2025-11-10 Yu-Chen Hua , Xiao-Jun Bi , Yu-Ming Yang , Peng-Fei Yin

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

We correct the fitting formula used in refs. [1,2] to obtain a robust limit on a violation of Lorentz invariance that depends linearly on the photon energy. The correction leads to a slight increase of the limit on the scale of the…

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

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

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Vlasios Vasileiou

Putting constraints on a possible Lorentz Invariance Violation (LIV) from astrophysical sources such as gamma-ray bursts (GRBs) is essential for finding evidences of new theories of quantum gravity (QG) that predict an energy-dependent…

General Relativity and Quantum Cosmology · Physics 2023-10-02 Denitsa Staicova

Since Lorentz invariance plays an important role in modern physics, it is of interest to test the possible Lorentz invariance violation (LIV). The time-lag (the arrival time delay between light curves in different energy bands) of Gamma-ray…

General Relativity and Quantum Cosmology · Physics 2017-12-05 Xiao-Bo Zou , Hua-Kai Deng , Zhao-Yu Yin , Hao Wei

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

Models of quantum gravity suggest that the vacuum should be regarded as a medium with quantum structure that may have non-trivial effects on photon propagation, including the violation of Lorentz invariance. Fermi Large Area Telescope (LAT)…

High Energy Astrophysical Phenomena · Physics 2019-04-24 John Ellis , Rostislav Konoplich , Nikolaos E. Mavromatos , Linh Nguyen , Alexander S. Sakharov , Edward K. Sarkisyan-Grinbaum

The constancy of light speed is a basic assumption in Einstein's special relativity, and consequently the Lorentz invariance is a fundamental symmetry of space-time in modern physics. However, it is speculated that the speed of light…

High Energy Physics - Phenomenology · Physics 2015-11-23 Shu Zhang , Bo-Qiang Ma

The free photon dispersion relation is a reference quantity for high precision tests of Lorentz Invariance. We first outline theoretical approaches to a conceivable Lorentz Invariance Violation (LIV). Next we address phenomenological tests…

High Energy Physics - Theory · Physics 2010-01-16 Wolfgang Bietenholz

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

Despite the fact that quantum gravity theory still remains elusive, it is generally expected that it will bring the picture of a space-time foam at short distances leading to Lorenz Invariance Violation (LIV) manifested e.g. by energy…

Astrophysics · Physics 2015-05-13 Marek Biesiada , Aleksandra Piórkowska

We propose a minimal extension to the Standard Model by introducing a Lorentz Invariance Violation (LIV) term into the Z boson's dispersion relation, expressed as $p_\mu p^\mu = M_Z^2 + \delta_{LIV} (p_\mu n^\mu)^2$, where $\delta_{LIV}$…

High Energy Physics - Phenomenology · Physics 2026-04-10 Juansher Jejelava , Zurab Kepuladze

We consider here the possibility of quantum gravity induced violation of Lorentz symmetry (LV). Even if suppressed by the inverse Planck mass such LV can be tested by current experiments and astrophysical observations. We review the…

Astrophysics · Physics 2008-11-26 Ted Jacobson , Stefano Liberati , David Mattingly

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