Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes

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.

arXiv commentenlarged version. An added figure

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• Rényi Holographic Dark Energy
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution