Modified Renyi entropy produces a modified force with a MOND-like interpolating function, but the force decays as 1/R^4, not MOND's 1/R, and the Bekenstein bound check reduces to a definitional inequality.
Bekenstein [2] was among the first to identify thermodynamic properties in BHs, noting that their surface area behaves analogously to entropy
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From modified Tsallis-Renyi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes
Modified Renyi entropy produces a modified force with a MOND-like interpolating function, but the force decays as 1/R^4, not MOND's 1/R, and the Bekenstein bound check reduces to a definitional inequality.