https://doi.org/10.1140/epjb/s10051-024-00730-3
Topical Review - Statistical and Nonlinear Physics
Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
Department of Chemistry, Physics and Environmental and Soil Sciences, Escola Politècninca Superior, Universidad de Lleida, Av. Jaume II, 69, 25001, Lleida, Spain
a
giuseppegaetano.luciano@udl.cat
Received:
23
February
2024
Accepted:
14
June
2024
Published online:
21
June
2024
Kaniadakis (
-deformed) statistics is being widely used for describing relativistic systems with non-extensive behavior and/or interactions. It is built upon a one-parameter generalization of the classical Boltzmann–Gibbs–Shannon entropy, possessing the latter as a particular sub-case. Recently, Kaniadakis model has been adapted to accommodate the complexities of systems under the influence of gravity. The ensuing framework exhibits a rich phenomenology that allows for a deeper understanding of the most extreme conditions of the Universe. Here we present the state-of-the-art of -statistics, discussing its virtues and drawbacks at different energy scales. Special focus is dedicated to gravitational and cosmological implications, including effects on the expanding Universe in dark energy scenarios. This review highlights the versatility of Kaniadakis paradigm, demonstrating its broad application across various fields and setting the stage for further advancements in statistical modeling and theoretical physics.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
