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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

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

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

I here investigate what is arguably the most significant residual challenge for the proposal of phenomenologically viable "DSR deformations" of relativistic kinematics, which concerns the description of composite particles, such as atoms.…

High Energy Physics - Phenomenology · Physics 2011-12-15 Giovanni Amelino-Camelia

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

This research aims to consider a new principle of symmetry in the space-time by means of the elimination of the classical idea of rest including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by the…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Cláudio Nassif

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

Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the "Large High Altitude Air Shower Observatory" (LHAASO), detecting photons of up to $1.4\times 10^{15}$ eV (PeV scale). These…

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

The dynamics of binary pulsars can be used to test different aspects of gravitation. This is particularly important to constrain alternatives to general relativity in regimes which are not probed by other methods. In this short…

General Relativity and Quantum Cosmology · Physics 2016-01-19 Diego Blas

Testing Lorentz invariance is essential as it is one of the pillars of modern physics. Moreover, its violation is foreseen in several popular Quantum Gravity models. Several authors study the effects of Lorentz invariance violation (LIV) in…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Rodrigo Guedes Lang , Vitor de Souza

Doubly special relativity (DSR), with both an invariant velocity and an invariant length scale, elegantly preserves the principle of relativity between moving observers, and appears as a promising candidate of the quantum theory of gravity.…

High Energy Physics - Theory · Physics 2011-04-04 Xinyu Zhang , Lijing Shao , Bo-Qiang Ma

In this article we develop a physical interpretation for the deformed (doubly) special relativity theories (DSRs), based on a modification of the theory of measurement in special relativity. We suggest that it is useful to regard the DSRs…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stefano Liberati , Sebastiano Sonego , Matt Visser

A satisfactory theory of quantum gravity will very likely require modification of our classical perception of space-time, perhaps by giving it a 'foamy' structure at scales of order the Planck length. This is expected to modify the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subir Sarkar

On the basis of all commutation relations of the k-deformed phase space incorporating the k-Minkowski space-time, we have derived in this paper an extended first approximation of both Maxwell's equations and Lorentz force in doubly (or…

General Relativity and Quantum Cosmology · Physics 2022-08-01 N. Takka , A. Bouda

The spectral lags of gamma-ray bursts (GRBs) have been viewed as the most promising probes of the possible violations of Lorentz invariance (LIV). However, these constraints usually depend on the assumption of the unknown intrinsic time lag…

High Energy Astrophysical Phenomena · Physics 2021-01-06 Shen-Shi Du , Lin Lan , Jun-Jie Wei , Zi-Ming Zhou , He Gao , Lu-Yao Jiang , Bin-Bin Zhang , Zi-Ke Liu , Xue-Feng Wu , En-Wei Liang , Zong-Hong Zhu

Searches for Lorentz invariance violation (LIV) in the neutrino sector have traditionally focused on non-standard neutrino oscillations induced by LIV in vacuum. In this work, however, we study anisotropic LIV in matter. First, we review…

High Energy Physics - Phenomenology · Physics 2026-02-10 Simon Hilding-Nørkjær , Johann Ioannou-Nikolaides , D. Jason Koskinen , Thomas Stuttard

Several approaches to quantum gravity suggest that Lorentz invariance will be broken at high energy. This can lead to modified dispersion relations for wave propagation, which can be concretely realized in effective field theories where the…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jarod George Kelly , Sanjeev S. Seahra

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

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