Applying Landauer's erasure bound to one-bit Hawking steps yields constraints on generalized black hole entropies, ruling out Kaniadakis entropy for nonzero deformation.
(26), (27), and (28), together with the condition 0<ζ < 2, the mass-to-horizon entropy reduces to the Tsallis-Cirto entropy for η = 2ζ− 1, λ = 2−ζ 4ζ (2ζ− 1)
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Landauer's Principle as a Criterion for Thermodynamic Consistency in Generalized Black Hole Entropies
Applying Landauer's erasure bound to one-bit Hawking steps yields constraints on generalized black hole entropies, ruling out Kaniadakis entropy for nonzero deformation.