Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes

Understand

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.