Rényi entropy correction to expanding universe

H. R. Fazlollahi

doi:10.1140/epjc/s10052-023-11183-w

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 29
https://doi.org/10.1140/epjc/s10052-023-11183-w

Regular Article - Theoretical Physics

Rényi entropy correction to expanding universe

H. R. Fazlollahi^a

Institute of Gravitation and Cosmology, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198, Moscow, Russian Federation

^a seyed.hr.fazlollahi@gmail.com

Received: 13 October 2022
Accepted: 27 December 2022
Published online: 17 January 2023

Abstract

The Rényi entropy comprises a group of data estimates that sums up the well-known Shannon entropy, acquiring a considerable lot of its properties. It appears as unqualified and restrictive entropy, relative entropy, or common data, and has found numerous applications in information theory. In the Rényi’s argument, the area law of the black hole entropy plays a significant role. However, the total entropy can be modified by some quantum effects, motivated by the randomness of a system. In this note, by employing this modified entropy relation, we have derived corrections to Friedmann equations. Taking this entropy associated with the apparent horizon of the Friedmann–Robertson–Walker Universe and assuming the first law of thermodynamics, , satisfies the apparent horizon, we have reconsidered expanding Universe. Also, the second thermodynamics law has been examined.

© This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2023

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