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arXiv · 2503.15203

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

J. M. Carmona·J. L. Cortés·F. Rescic·M. A. Reyes·T. Terzić
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Abstract

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 $\kappa$-Poincar\'e 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.

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J. M. Carmona, J. L. Cortés, F. Rescic, M. A. Reyes, T. Terzić. 2025-03-19. Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation. https://doi.org/10.1088/1475-7516%2F2025%2F07%2F066

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