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.
Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
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The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic gravity and constrain the deformation parameter by using observational bounds from Big Bang Nucleosynthesis and primordial abundances of the light elements 4He,D,7Li. We show that our result fits with most of existing bounds on \beta derived from other cosmological studies.
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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.