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How fundamental is entropy? From non-extensive statistics and black hole physics to the holographic dark universe

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arxiv 2201.02424 v1 pith:S7LJA4NK submitted 2022-01-07 gr-qc hep-th

classification gr-qchep-th
keywords entropyblackdarkholeholographicappliedbarrowbekenstein-hawking
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a new entropy construct that generalizes the Tsallis, R\'enyi, Sharma-Mittal, Barrow, Kaniadakis, and Loop Quantum Gravity entropies and reduces to the Bekenstein-Hawking entropy in a certain limit. This proposal is applied to the Schwarzschild black hole and to spatially homogeneous and isotropic cosmology, where it is shown that it can potentially describe inflation and/or holographic dark energy.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics

    gr-qc 2026-07 conditional novelty 5.0 of 10

    For the cubic entropy correction S=πr_h²−αr_h³ arising from a Planck-scale modified dispersion relation, all physically allowed Schwarzschild-like branches have winding number w=−1, so no stable phase appears.

  2. Thin-Shell Wormholes from Entropy-Induced Black-Hole Geometries

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Wormhole throats constructed from entropy-induced black-hole metrics always have negative surface energy; constant-barotropic shells are linearly unstable, while variable Chaplygin shells can be stable.

  3. Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Viable generalized horizon entropies from the mass-to-horizon relation are restricted to a narrow neighborhood around the Bekenstein-Hawking law, yielding only Lambda-CDM-like background evolution.

  4. On Accretion and Neutrino Investigations of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy

    gr-qc 2026-07 conditional novelty 4.0 of 10

    A generalized-entropy black-hole model with horizon temperature fixed by entropy predicts sign-controlled ISCO, shadow, and efficiency shifts, but relies on an arbitrary exterior profile p.

  5. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  6. Dark energy era with a resolution of Hubble tension in generalized entropic cosmology

    gr-qc 2025-07 reject novelty 4.0 of 10

    A generalized-entropy dark energy model with one fitted extra parameter returns H0 near 73 km/s/Mpc on some datasets, but the reported model-comparison statistics do not favor it over LambdaCDM.

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