Axiomatic Foundations for the Principle of Entropy Increase

TL;DR

This paper establishes a rigorous axiomatic basis for the principle of entropy increase applicable across quantum, classical, and various statistical processes, providing a unified theoretical foundation.

Contribution

It introduces a set of axioms that underpin the principle of entropy increase across diverse statistical frameworks.

Findings

Axioms valid for quantum and classical statistics.

Unified foundation for entropy increase.

Applicable to a wide range of statistical processes.

Abstract

We show that the principle of entropy increase may be exactly founded on a few axioms valid not only for quantum and classical statistics, but also for a wide range of statistical processes.