On the statistical mechanical interpretation of entropy: a revision

The statistical interpretation of entropy has simultaneously been one of the most influential and one of the most controversial findings in the history of science. The complications and challenges stemming from considering the particles of the same type either as distinguishable or indistinguishable, how each scenario shall impact the counted number of microstates and theoretical justifications for that, and above all, considering entropy either as an extensive or a non-extensive quantity, have been the subject of numerous debates for over a century. The main aim of the present study is to shed a new light on the statistical mechanical evaluation of entropy which allows resolving majority of the mentioned ambiguities.