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arXiv · 1804.09244

On the entropic derivation of the $r^{-2}$ Newtonian gravity force

A. Plastino·M. C. Rocca
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Abstract

Following Verlinde's conjecture, we show that Tsallis' classical free particle distribution at temperature $T$ can generate Newton's gravitational force's $r^{-2}$ {\it distance's dependence}. If we want to repeat the concomitant argument by appealing to either Boltzmann-Gibbs' or Renyi's distributions, the attempt fails and one needs to modify the conjecture. Keywords: Tsallis', Boltzmann-Gibbs', and Renyi's distributions, classical partition function, entropic force.

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A. Plastino, M. C. Rocca. 2018-04-05. On the entropic derivation of the $r^{-2}$ Newtonian gravity force. https://doi.org/10.1016/j.physa.2018.03.037

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