Lorentz covariant statistical mechanics and thermodynamics of the relativistic ideal gas and preferred frame

TL;DR

This paper develops a Lorentz covariant framework for the statistical mechanics and thermodynamics of ideal relativistic gases, including bradyons, luxons, and tachyons, using a preferred frame approach to resolve paradoxes.

Contribution

It introduces a covariant formulation for relativistic gases that incorporates tachyons and resolves related paradoxes using a preferred frame approach.

Findings

Thermodynamic functions derived for classical and quantum cases.

Consistent description of tachyons within covariant thermodynamics.

Resolution of tachyon paradoxes using the preferred frame approach.

Abstract

The Lorentz covariant classical and quantum statistical mechanics and thermodynamics of an ideal relativistic gas of bradyons (particles slower than light), luxons (particles moving with the speed of light) and tachyons (hypothetical particles faster than light) is discussed. The Lorentz covariant formulation is based on the preferred frame approach which among others enables consistent, free of paradoxes description of tachyons. The thermodynamic functions within the covariant approach are obtained both in classical and quantum case.