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Cosmic rays are the highest energy particles available for our study and as such serve as excellent probes of the effects of Lorentz Invariance Violations, which are expected to increase with energy. This general paradigm is investigated in…

High Energy Physics - Phenomenology · Physics 2015-06-05 R. Cowsik , T. Madziwa-Nussinov , S. Nussinov , U. Sarkar

Lorentz invariant violation (LIV) test is very important to study in the new physics. All the known astrophysical constraints either have a very small examinable parameter space, or are only suitable for some special theoretical models.…

Astrophysics · Physics 2009-08-07 Cong-Xin Qiu , Zi-Gao Dai

Cosmic opacity for very high-energy gamma rays ($E>10$ TeV) due to the interaction with the extragalactic background light can be strongly reduced because of possible Lorentz-violating terms in the particle dispersion relations expected,…

High Energy Astrophysical Phenomena · Physics 2015-12-16 F. Tavecchio , G. Bonnoli

Lorentz invariance violation (LIV) can have multiple consequences on very-high energy gamma rays' emission, propagation, and detection, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Tomislav Terzić , Karlo Mrakovčić

The origin and nature of ultrahigh-energy cosmic ray events, above the Greisen-Zatsepin-Kuzmin (GZK) cutoff energy, constitute a long-standing, unsolved mistery. Neutrinos are proposed candidates but their standard interactions with matter…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jose I. Illana

The detection of the GZK feature in the cosmic ray spectrum, resultingfrom the production of pions by ultra-high energy protons scattering off the cosmic microwave background (CMB), can shed light on the mysterious sources of these high…

Astrophysics · Physics 2007-05-23 Daniel De Marco

In this paper, we consider the impact of Lorentz Invariance Violation (LIV) on the $\gamma-\gamma$ opacity of the Universe to VHE-gamma rays, compared to the effect of local under-densities (voids) of the Extragalactic Background Light, and…

High Energy Astrophysical Phenomena · Physics 2018-10-09 Hassan Abdalla , Markus Boettcher

Limits on gravitational Cherenkov radiation by cosmic rays are obtained and used to constrain coefficients for Lorentz violation in the gravity sector associated with operators of even mass dimensions, including orientation-dependent…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Alan Kostelecky , Jay D. Tasson

Recent observations on ultra high energy cosmic rays (those cosmic rays with energies greater than $\sim 4 \times 10^{18}$ eV) suggest an abundant flux of incoming particles with energies above $1 \times 10^{20}$ eV. These observations…

High Energy Physics - Theory · Physics 2016-08-16 Jorge Alfaro , Gonzalo A. Palma

In some quantum gravity (QG) theories, Lorentz symmetry may be broken above the Planck scale. The Lorentz invariance violation (LIV) may induce observable effects at low energies and be detected at high energy astrophysical measurements.…

High Energy Astrophysical Phenomena · Physics 2024-05-03 Yu-Ming Yang , Xiao-Jun Bi , Peng-Fei Yin

On the analogy with the Lamb shift, we study the vacuum effect that proton's electric field interacts with virtual particles in the vacuum. We find a possible quantum instability that triggered by an external force, proton's electric field…

High Energy Physics - Phenomenology · Physics 2016-09-06 She-Sheng Xue

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

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

Observations of the synchrotron and inverse Compton emissions from ultrarelativistic electrons in astrophysical sources can reveal a great deal about the energy-momentum relations of those electrons. They can thus be used to place bounds on…

High Energy Physics - Phenomenology · Physics 2021-04-19 Brett Altschul

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

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

Astrophysical scenarios provide a unique opportunity to test the possible signatures of Lorentz Invariance Violation (LIV) due to the high energies and the very long distances they involve. An isotropic correction to the photon dispersion…

High Energy Astrophysical Phenomena · Physics 2019-08-13 H. Martínez-Huerta

We investigate how the density of baryonic and cold dark matter, the density of dark energy and the value of the Hubble parameter at the present time influence the propagation of ultrahigh energy protons in the nearby Universe. We take into…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 M. De Domenico , A. Insolia

In a recently proposed model the cosmic rays spectrum at energies above 10^{18} eV can be fitted with a minimal number of unknown parameters assuming that the extragalactic cosmic rays are only protons with a power law source spectrum…

Astrophysics · Physics 2008-11-26 Graciela Gelmini , Oleg Kalashev , Dmitry V. Semikoz

The recent reported Glashow resonance (GR) event shows a promising prospect in the test of the Lorentz violation (LV) by the high-energy astrophysical neutrinos (HANs) around the resonant energy. However, since the production source and the…

High Energy Physics - Phenomenology · Physics 2023-05-31 Ding-Hui Xu , Shu-Jun Rong
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