Lorentz Transform of Black Body Radiation Temperature

TL;DR

This paper derives the Lorentz transformation of black body radiation temperature using relativistic statistical mechanics, clarifying the physical meaning of directional temperature through the inverse temperature four-vector.

Contribution

It provides a clear physical interpretation of the directional temperature as an inverse temperature four-vector, improving understanding of relativistic thermodynamics.

Findings

Directional temperature derived from inverse temperature four-vector

Clarification of the physical meaning of relativistic temperature

Consistent Lorentz transformation of black body radiation temperature

Abstract

The Lorentz transform of black body radiation has been investigated from the view point of relativistic statistical mechanics. The result shows that the well known expression with the directional temperature can be derived based on the inverse temperature four vector. The directional temperature in the past literature was the result of mathematical manipulation and its physical meaning is not clear. The inverse temperature four vector has, in contrast, clear meaning to understand relativistic thermodynamical processes.