Cosmographic Connection Between Cosmological And Planck Scales: The Barrow-Tsallis Entropy

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Main Authors: Bolotin, Yu. L., Yanovsky, V. V., Yerokhin, D. A.
Format: Preprint
Published: 2026
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author Bolotin, Yu. L.
Yanovsky, V. V.
Yerokhin, D. A.
author_facet Bolotin, Yu. L.
Yanovsky, V. V.
Yerokhin, D. A.
contents One of the fundamental challenges of quantum gravity is to understand how the microscopic degrees of freedom of the cosmological horizon shape the evolution of the Universe. One possible approach to this problem is based on the Barrow--Tsallis entropy. This entropy accounts for both quantum gravitational effects and the nonextensive effects inherent in any long-range interaction. Using a general method we developed for finding the parameters of cosmological models, we discovered a relationship between the parameter describing the microscopic structure of quantum foam and the parameter associated with macroscopic nonextensive effects. We also used our method for finding the parameters of cosmological models to evaluate the feasibility of using fractional derivatives to describe the late evolution of the Universe. The resulting relationships are exact. Therefore, the uncertainty in the relationship between the model parameters depends only on the current uncertainty in the values of the cosmographic parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12077
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cosmographic Connection Between Cosmological And Planck Scales: The Barrow-Tsallis Entropy
Bolotin, Yu. L.
Yanovsky, V. V.
Yerokhin, D. A.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
One of the fundamental challenges of quantum gravity is to understand how the microscopic degrees of freedom of the cosmological horizon shape the evolution of the Universe. One possible approach to this problem is based on the Barrow--Tsallis entropy. This entropy accounts for both quantum gravitational effects and the nonextensive effects inherent in any long-range interaction. Using a general method we developed for finding the parameters of cosmological models, we discovered a relationship between the parameter describing the microscopic structure of quantum foam and the parameter associated with macroscopic nonextensive effects. We also used our method for finding the parameters of cosmological models to evaluate the feasibility of using fractional derivatives to describe the late evolution of the Universe. The resulting relationships are exact. Therefore, the uncertainty in the relationship between the model parameters depends only on the current uncertainty in the values of the cosmographic parameters.
title Cosmographic Connection Between Cosmological And Planck Scales: The Barrow-Tsallis Entropy
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2602.12077