2024/06/04 by Julius Lehmann, Lehmann, Julius
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Conjecture #Entropy (arrow of time) #Epistemology #Generalization #Mathematical economics #Mathematical physics #Mathematics #Philosophy #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2406.02367
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2024/06/04 · openalex created_date 2024/06/08 · openalex updated_date 2026/07/28
In a recent paper by Ambrósio et al. [arXiv:2405.14799], it was shown that the gravitational force law of the Modified Newtonian Dynamics (MOND) phenomenology can be derived within the framework of entropic gravity and the holographic principle by assuming an entropy function other than the conventional Boltzmann-Gibbs entropy. In particular, they derived the standard interpolation function of MOND together with an analytical expression for the acceleration constant a0 by utilizing Kaniadakis' modified entropy. In this short note, using the same methodology, we generalize this result and show that MONDian behavior is a rather general consequence of combining entropic gravity with non-Boltzmann-Gibbs entropies, which depends on only a few conditions imposed on the generalized entropy function.