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Entropic Corrections to Friedmann Equations
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Recently, Verlinde discussed that gravity can be understood as an entropic force caused by changes in the information associated with the positions of material bodies. In the Verlinde's argument, the area law of the black hole entropy plays a crucial role. However, the entropy-area relation can be modified from the inclusion of quantum effects, motivated from the loop quantum gravity. In this note, by employing this modified entropy-area relation, we derive corrections to Newton's law of gravitation as well as modified Friedman equations by adopting the viewpoint that gravity can be emerged as an entropic force. Our study further supports the universality of the log correction and provides a strong consistency check on Verlinde's model.
Forward citations
Cited by 3 Pith papers
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Big-Bang Nucleosynthesis and WIMP Dark Matter Freeze-Out as Probes of Yukawa Cosmology
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.
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Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis
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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The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.
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