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−2distance'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.