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Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and Dark Matter Freeze-out

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arxiv 2104.11296 v1 pith:6XKUIBNL submitted 2021-04-22 astro-ph.CO gr-qchep-ph

Anish Ghoshal , Gaetano Lambiase This is my paper
classification astro-ph.COgr-qchep-ph
keywords tsallisbangbetaconsiderconstraintscosmologydarkderive
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider Tsallis cosmology as an approach to thermodynamic gravity and derive the bound on the Tsallis parameter to be $\beta<2$ by using the constraints derived from the formation of the primordial light elements, Helium, Deuterium and Litium, from the observational data from Big Bang Nucleosynthesis (BBN) which allows only a very tiny deviation from General Relativity (GR). Next we consider thermal dark matter (DM) freeze-out mechanism in Tsallis cosmological era and derive bounds on the Tsallis parameter from the observed DM relic abundance to be $1-\beta < 10^{-5}$.

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Forward citations

Cited by 4 Pith papers

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

  1. Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Observational constraints pin the MHR entropy exponent to |m−1|≲10⁻⁴ when γ is fixed, and Bayesian evidence disfavors all tested horizon-entropy extensions relative to ΛCDM.

  2. Resolving Galactic and Cluster Dynamics Without Dark Matter: Tsallis Entropy as the Unique Foundation of Emergent Gravity

    astro-ph.GA 2026-07 reject novelty 5.0 of 10

    The paper claims Tsallis entropy is the unique entropy choice for emergent gravity because its free exponent δ can be tuned to fit galaxy, cluster, and globular dynamics without dark matter.

  3. Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications

    physics.gen-ph 2026-01 conditional novelty 5.0 of 10

    Curved momentum space lowers radiation energy density by T²/P², and BBN helium data imply the Snyder scale P is above ~10² MeV, giving β=m_p²/P²≲10⁴⁰ under a phenomenological GUP mapping.

  4. Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis

    physics.gen-ph 2025-07 reject novelty 5.0 of 10

    Rényi entropy cosmology constrained by BBN: helium and deuterium allow overlapping λ ranges near 10^-85, lithium requires disjoint values, so the constant-λ model cannot solve the lithium problem.

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