Fermi Acceleration Mechanisms Beyond Lorentz Symmetry

Fuente: arXiv
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Autori principali: Aguiar, Erick, Filho, A. A. Araújo, Bezerra, Valdir B., Ferreira, Gilson A., Lobo, Iarley P.
Natura: Preprint
Pubblicazione: 2026
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author Aguiar, Erick
Filho, A. A. Araújo
Bezerra, Valdir B.
Ferreira, Gilson A.
Lobo, Iarley P.
author_facet Aguiar, Erick
Filho, A. A. Araújo
Bezerra, Valdir B.
Ferreira, Gilson A.
Lobo, Iarley P.
contents We construct models for first- and second-order Fermi acceleration of particles, incorporating generic frame transformations, dispersion relations, and conservation laws. Within this framework, we study deformations of Lorentz symmetry via the $κ$-Poincaré algebra in the bicrossproduct and classical bases, which respectively deform and preserve the relativistic dispersion relation. We also examine explicit Lorentz symmetry violation and compare the results with deformed relativity and special relativity.
format Preprint
id arxiv_https___arxiv_org_abs_2601_04961
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fermi Acceleration Mechanisms Beyond Lorentz Symmetry
Aguiar, Erick
Filho, A. A. Araújo
Bezerra, Valdir B.
Ferreira, Gilson A.
Lobo, Iarley P.
General Relativity and Quantum Cosmology
We construct models for first- and second-order Fermi acceleration of particles, incorporating generic frame transformations, dispersion relations, and conservation laws. Within this framework, we study deformations of Lorentz symmetry via the $κ$-Poincaré algebra in the bicrossproduct and classical bases, which respectively deform and preserve the relativistic dispersion relation. We also examine explicit Lorentz symmetry violation and compare the results with deformed relativity and special relativity.
title Fermi Acceleration Mechanisms Beyond Lorentz Symmetry
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2601.04961