Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation

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Main Authors: Carmona, J. M., Cortés, J. L., Rescic, F., Reyes, M. A., Terzić, T.
Format: Preprint
Published: 2025
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author Carmona, J. M.
Cortés, J. L.
Rescic, F.
Reyes, M. A.
Terzić, T.
author_facet Carmona, J. M.
Cortés, J. L.
Rescic, F.
Reyes, M. A.
Terzić, T.
contents The lack of a dynamical framework within doubly special relativity theories has impeded the development of a corresponding phenomenology of modified interactions. In this work we show that in a model based on the classical basis of $κ$-Poincaré and total momentum conservation, one has a well-defined cross section of the photon-photon annihilation process, once a prescription for the channel treatment is set. The modification of the interaction can lead to observable effects in the opacity of the Universe to very high-energy gamma rays when the gamma-ray energy approaches the energy scale of the deformation. The magnitude and observability of this deformation are examined as functions of the gamma-ray energy and source distance.
format Preprint
id arxiv_https___arxiv_org_abs_2503_15203
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation
Carmona, J. M.
Cortés, J. L.
Rescic, F.
Reyes, M. A.
Terzić, T.
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
The lack of a dynamical framework within doubly special relativity theories has impeded the development of a corresponding phenomenology of modified interactions. In this work we show that in a model based on the classical basis of $κ$-Poincaré and total momentum conservation, one has a well-defined cross section of the photon-photon annihilation process, once a prescription for the channel treatment is set. The modification of the interaction can lead to observable effects in the opacity of the Universe to very high-energy gamma rays when the gamma-ray energy approaches the energy scale of the deformation. The magnitude and observability of this deformation are examined as functions of the gamma-ray energy and source distance.
title Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.15203