Classical, quantum and parastatistics as a function of a priori probabilities

Analysis of the basic postulate of statistical physics suggests that both Bose-Einstein and Fermi-Dirac statistics, and random statistics may be derived from the condition that a priori probabilities in a special way depend on the population of the energetic level. The idea of variable a priori probabilities takes the theory beyond the limitations of the postulate of statistical physics about equal probabilities of microstates and does not use the basic requirement of the indistinguishability of particles. The assumed dependence of the a priori probability on the population of energy levels is employed to construct probable distribution functions. The difference of the distribution functions obtained in this way is shown to explain some features of the behavior of physical systems. The formal possibility of a non-quantum origin of quantum statistics makes it possible to legalize their application in a wide class macrosystems.

Automated summary

Analysis of the basic postulate of statistical physics suggests that both Bose-Einstein and Fermi-Dirac statistics, and random statistics may be derived from the condition that a priori probabilities in a special way depend on the population of the energetic level. The concept of variable a priori probabilities allows the theory to go beyond the limitations of equal probabilities of microstates, and does not require the basic assumption of particle indistinguishability. The assumed dependence of the a priori probability on the population of energy levels is used to construct probable distribution functions, which can explain certain features of physical systems. The formal possibility of a non-quantum origin of quantum statistics allows for their application in a wide range of macroscopic systems.