Entropic Measure of Time, and Gas Expansion in Vacuum

TL;DR

This paper introduces an entropy-based measure of time derived from irreversible processes, demonstrating its nonlinear relation to conventional time and exploring implications for physical and cosmological systems.

Contribution

It presents a novel entropy-based time measure using Boltzmann's entropy and analyzes its nonlinear relationship with standard time in non-equilibrium gas expansion.

Findings

Entropy-based time measure is nonlinearly related to conventional time.

The measure is demonstrated through ideal gas expansion in vacuum.

Connections to biological and cosmological time measures are discussed.

Abstract

The study considers advantages of the introduced measure of time based on the entropy change under irreversible processes (entropy production). Using the example of non-equilibrium expansion of an ideal gas in vacuum, such a measure is introduced with the help of Boltzmann's classic entropy. It is shown that, in the general case, this measure of time proves to be nonlinearly related to the reference measure assumed uniform by convention. The connection between this result and the results of other authors investigating measure of time in some biological and cosmological problems is noted.