From nonextensive statistics and black hole entropy to the holographic dark universe

We propose a new entropy construct that generalizes the Tsallis, Renyi, 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.

Automated summary

We propose a new entropy construct that generalizes existing entropies and converges to known entropy in a specific limit. Applying this construct to Schwarzschild black hole and cosmology models, it is shown that it has the potential to describe inflation and/or holographic dark energy.