Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data

Abstract

Barrow and Tsallis Holographic Dark Energy (HDE) are two recently proposed extensions of the standard HDE framework, incorporating generalized corrections to horizon entropy through the use of Barrow and Tsallis entropies. Tsallis entropy arises from non-extensive statistical phenomena which account for long-range correlations and deviations from additivity, while Barrow entropy emerges from quantum-gravitational effects on the horizon geometry, associated with fractal modifications and deformations. At the cosmological level, both scenarios lead to the same equations, nevertheless the involved parameters obey different theoretical bounds. In this work, we use observational data from Supernova Type Ia (SNIa), Cosmic Chronometers (CC) and Baryonic acoustic oscillations (BAO), including the recently released DESI DR2 dataset, to place constraints on both scenaria. We show that both can be in agreement with observations, although they cannot alleviate the $H_0$ tension. However, applying information criteria we deduce that both of them are not favoured comparing to $\Lambda$CDM concordance cosmological paradigm.

7 pages, 1 figure, 2 Tabs

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• Topological and optical signatures of modified black-hole entropies
• Updated Cosmological Constraints from 2D BAO Measurements: A New Compilation and Comparison with DESI DR2
• Barrow holographic dark energy interacting model in the presence of radiation and matter
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• Breaking Free from the Swampland of Impossible Universes through the DESI Portal
• A Combined Barrow Entropy and QCD Ghost Mechanism for Late-Time Cosmic Acceleration