The Rényi entropy and entropic cosmology

2026/04/29 by S. I. Kruglov · 1 voice
Physics and Astronomy · #physics.gen-ph

paper · pdf · doi:10.3390/e28040467

Abstract

Entropic cosmology with the Rényi entropy of the apparent horizon S_R=(1/α)ln(1+αS_BH), where S_BH is the Bekenstein--Hawking entropy, is studied. By virtue of the thermodynamics-gravity correspondence a model of dark energy is investigated. The generalised Friedmann equations for the Friedmann--Lemaître--Robertson--Walker spatially flat universe with the barotropic matter fluid are obtained. We compute the dark energy density ρ_D, pressure p_D and the deceleration parameter q of the universe. At some model parameters the normalized density parameter of the matter Ω_m0≈ 0.315 and the deceleration parameter q₀≈ -0.535 for the current epoch, which are in the agreement with the Planck data, are found. Making use of the thermodynamics-gravity correspondence, we describe the late time of the universe acceleration. The entropic cosmology considered is equivalent to cosmology based on the teleparallel gravity with the definite function F(T). The Hubble parameters are in approximate agreement (within 5 percents) with the observational Hubble data for redshifts 0.07≤ z ≤ 1.75 at the entropy parameter α≈ 0.305~GH₀².

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Discussions

• S. I. Kruglov: The R\'{e}nyi entropy and entropic cosmology https://arxiv.org/abs/2605.00054 https://arxiv.org/pdf/2605.00054 https://arxiv.org/html/2605.00054 [bsky, 0 points, 0 comments]

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