  We examine the potential of Kaniadakis entropy to describe black-hole
entropy, proposing a modified version accounting for black hole thermodynamics.
We posit a conjecture that the Kaniadakis entropy precisely describes the
Bekenstein-Hawking black-hole entropy. Additionally, we discuss the Modified
Newtonian Dynamics (MOND) theory, a modification of Newton's second law aimed
at explaining galaxy rotation curves without resorting to dark matter.
Furthermore, we consider the Bekenstein bound conjecture which imposes an upper
limit on the entropy of confined quantum systems. We analyze this conjecture in
the context of a modified Kaniadakis entropy and find that it holds for typical
values of $\kappa$, as evidenced by our numerical investigation. Our
exploration underscores the potential of a modified Kaniadakis statistics in
understanding diverse physical phenomena, from gravitational systems to quantum
mechanics, offering a promising direction for future research at the
intersection of statistical mechanics and other important areas of physics as
well.
