Three Ignored Densities, Frame-Independent Thermodynamics and Broken Galilean Symmetry

TL;DR

This paper demonstrates that incorporating three conserved densities related to Galilean invariance makes thermodynamics frame-independent, eliminates dissipative mass currents, and clarifies broken Galilean symmetry in condensed matter systems.

Contribution

It introduces a framework that explicitly accounts for Galilean invariance through conserved densities, resolving issues of frame dependence and symmetry breaking.

Findings

Thermodynamics becomes explicitly frame-independent.

Dissipative mass currents are shown to vanish.

Broken Galilean symmetry is clarified in condensed systems.

Abstract

A system's invariance under Galilean transformation implies three locally conserved densities. Including them as variables, the thermodynamics is rendered explicitly frame independent, dissipative mass currents are shown to vanish, and spontaneously broken Galilean symmetry becomes a sensible concept in condensed systems.