Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
arXiv:2207.13652 · doi:10.1016/j.physletb.2022.137565
Abstract
One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound suggests a universal constraint for the entropy of a region in a flat space. The Bekenstein-Hawking entropy of black holes satisfies the Bekenstein bound conjecture. In this paper we have shown that when we use important non-Gaussian entropies, like the ones of Barrow, Tsallis and Kaniadakis in order to describe the Schwarzschild black hole, then the Bekenstein bound conjecture seems to fail.
enlarged version. An added figure
References in corpus (5)
- Relative entropy and the Bekenstein bound
- Barrow entropic dark energy: A member of generalized holographic dark energy family
- Generalized entropies and corresponding holographic dark energy models
- Barrow's black hole entropy and the equipartition theorem
- Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics