Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes

One of the challenges today's theoretical physics is to fully understand connection between a geometrical object like area and thermostatistical one entropy, since behaves analogously entropy. The Bekenstein bound suggests universal constraint for entropy region in flat space. Bekenstein-Hawking black holes satisfies conjecture. In this paper we have shown that when use important non-Gaussian entropies, ones Barrow, Tsallis Kaniadakis order describe Schwarzschild hole, then conjecture seems fail.