On the entropic derivation of the r⁻² Newtonian gravity force

Following Verlinde’s conjecture, we show that Tsallis’ classical free particle distribution at temperature T can generate Newton’s gravitational force’s r⁻² 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.Facultad de Ciencias ExactasInstituto de Física La Plat