https://doi.org/10.1140/epjp/s13360-022-02653-3
Regular Article
A note on the relativistic temperature
1
Universidad Nacional Autónoma de México, 04510, Ciudad de México, México
2
Departamento de Ingeniería Química y Bioquímica, Instituto Tecnológico de Toluca, Av. Tecnológico S/N, Col. Agrícola Bellavista, 52149, Metepec, México
Received:
22
February
2022
Accepted:
26
March
2022
Published online:
6
April
2022
We show that the largely debated Planck-Einstein and Ott-Arzelies relativistic transformations of temperature do not satisfy the closure group property that two successive temperature transformations must be equivalent to a single temperature transformation of the same form with the involved reference frame velocities satisfying the velocity addition law of special relativity. We then suggest relativistic transformations of temperature that do satisfy this closure requirement and argue that they may be interpreted as particular cases of the so-called directional temperature.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
