Generalized Entropy from Mixing: Thermodynamics, Mutual Information and Symmetry Breaking

TL;DR

This paper introduces a new form of entropy based on state mixing, which exhibits unique properties like asymmetry and links quantum entanglement to classical stochasticity, expanding thermodynamic and informational frameworks.

Contribution

It presents a novel nonextensive entropy derived from state mixing, highlighting its asymmetric maximal configurations and connection to quantum entanglement.

Findings

New nonextensive entropy form based on mixing

Asymmetric maximal entropy configurations

Quantum entanglement leads to classical stochasticity

Abstract

We review a new form of entropy suggested by us, with origin in mixing of states of systems due to interactions and deformations of phase cells. It is demonstrated that this nonextensive form also leads to asymmetric maximal entropy configurations unlike Shannon entropy. We discuss how, beginning with quantum entanglement of microsystems with one another and with the environment, one can obtain classical stochasticity for our form of entropy.