Microcanonical ensemble and incompleteness of quantum mechanics

TL;DR

This paper argues that the microcanonical ensemble's applicability relies on probabilistic processes outside quantum mechanics, and demonstrates that the canonical distribution results from microcanonical averaging, challenging traditional assumptions.

Contribution

It introduces the idea that the microcanonical ensemble's use depends on non-quantum probabilistic processes and clarifies the relationship between microcanonical and canonical distributions.

Findings

Canonical distribution results from microcanonical averaging.

Probabilistic processes outside quantum mechanics influence ensemble applicability.

Microcanonical ensemble's validity depends on non-quantum probabilistic phenomena.

Abstract

It is shown, that the only reason for possibility of using microcanonical ensemble is that there are probabilistic processes in microworld, that are not described by quantum mechanic. On a simple example it is demonstrated, that canonical distribution is not independent and equal to microcanonical, but is a result of averaging by microcanonical ensemble.