Thermodynamic properties of finite binary strings

TL;DR

This paper introduces a novel framework for defining thermodynamic properties like temperature and pressure for finite binary strings, linking them to a gas of quasi-particles with specific physical characteristics.

Contribution

It proposes a new method to associate finite binary strings with thermodynamic properties and models them as a one-dimensional gas of quasi-particles.

Findings

Binary strings can be characterized by thermodynamic variables.

A binary string corresponds to a gas of quasi-particles with defined mass, momentum, and energy.

The approach bridges information theory and thermodynamics.

Abstract

Thermodynamic properties such as temperature, pressure, and internal energy have been defined for finite binary strings from equilibrium distribution of a chosen computable measure. It is demonstrated a binary string can be associated with one-dimensional gas of quasi-particles of certain mass, momentum, and energy.