… We show that the Boltzmann factor has a geometrical origin, which follows from the
microcanonical ensemble. The Maxwell–Boltzmann distribution or the wealth distribution in
human society are some direct applications of this interpretation. … In conclusion, we have
shown that the Boltzmann factor describes the statistical behavior of each small part of a
multicomponent system whose components or parts are given by a set of deterministic or
random variables that satisfy an additive conservation law, and that run equiprobably over …