Relativistic transformation of temperature and Mosengeil-Ott's antinomy

TL;DR

This paper reevaluates the relativistic transformation of temperature, addressing longstanding paradoxes by clarifying the physical meaning of temperature and establishing its Lorentz invariance through phenomenological arguments.

Contribution

It introduces a new analysis of temperature concepts and demonstrates Lorentz invariance of temperature and entropy transformations in relativistic physics.

Findings

Lorentz invariance of temperature is established.

Reinterpretation of Mosengeil-Ott's antinomy resolves paradoxes.

Fundamental concepts of thermometry are redefined.

Abstract

A not satisfactorily solved problem of relativistic transformation of temperature playing the decisive role in relativistic thermal physics and cosmology is reopened. It is shown that the origin of the so called Mosengeil-Ott's antinomy and other aligned paradoxes are related to the wrong understanding of physical meaning of temperature and application of Planck's Ansatz of Lorentz's invariance of entropy. In the contribution we have thus reintroduced and anew analyzed fundamental concepts of hotness manifold, fixed thermometric points and temperature. Finally, on the basis of phenomenological arguments the Lorentz invariance of temperature and relativistic transformations of entropy are established.