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Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length

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arxiv 2210.01584 v3 pith:ZKAFDHIR submitted 2022-10-03 gr-qc hep-th

Kimet Jusufi , Ahmad Sheykhi This is my paper · ORCID
classification gr-qchep-th
keywords equationslengthfriedmannzero-pointmodifiedbouncingcorrectedcorrections
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We employ Verlinde's entropic force scenario to extract the modified Friedmann equations by taking into account the zero-point length correction to the gravitational potential. Starting form the modified gravitational potential due to the zero-point length, we first find the logarithmic corrections to the entropy expression and then we derive the modified Friedman equations. Interestingly enough, we observe that the corrected Friedmann equations are similar to the Friedmann equations in braneworld scenario. In addition, from the corrected Friedmann equations, we pointed out a possible connection to the GUP principle which might have implications on the Hubble tension. To this end, we discuss the evolution of the scale factor under the effect of zero-point length. Finally, having in mind that the minimal length is of the Planck order, we obtain the critical density and the bouncing behavior of the universe with a critical density and a minimal scale factor of the order of Planck length.

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Cited by 4 Pith papers

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

  1. Big-Bang Nucleosynthesis and WIMP Dark Matter Freeze-Out as Probes of Yukawa Cosmology

    astro-ph.CO 2026-08 reject novelty 5.0 of 10

    Using BBN and WIMP relic density, the authors constrain the Yukawa gravity coupling α to about -0.017 to 0.018, with the lithium discrepancy still unexplained.

  2. 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.

  3. Effective matter sectors from modified entropies

    gr-qc 2025-11 conditional novelty 4.0 of 10

    Choosing a modified entropy S(r) fixes a metric f(r)=1-4πM/S'(r), and the Einstein tensor of that metric acts as an anisotropic effective fluid.

  4. Observational constraints on the modified cosmology inspired by string T-duality

    gr-qc 2025-10 conditional novelty 4.0 of 10

    Late-time data bound the T-duality zero-point-length coupling to β ≲ 10^-3, leaving ΛCDM statistically equivalent.

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