Abstract
The Lorentz transformations are obtained by assuming that the laws of classical thermodynamics are invariant under changes of inertial reference frames. As Maxwell equations are used in order to deduce a wave equation that shows the constancy of the speed of light, by means of the laws of classical thermodynamics, the invariance of the Carnot cycle is deduced under reference frame changes. Starting with this result and the blackbody particle number density in a rest frame, the Lorentz transformations are obtained. A discussion about the universality of classical thermodynamics is given.
Highlights
During the second part of the last century, the theory of relativistic transformation laws of the thermodynamical quantities was analyzed from different points of view
Let us define a reference frame as the one where the laws of classical thermodynamics are valid, and suppose that in any other reference frame that possesses a constant velocity with respect to the first one, the laws of thermodynamics are valid; that is, it has been assumed that the laws of thermodynamics are invariant under changes of inertial reference frames
Ares de Parga et al obtained the Einstein–Planck theory [18,21,22], with some modifications, by noticing that the internal energy has to be redefined in relativistic thermodynamics
Summary
During the second part of the last century, the theory of relativistic transformation laws of the thermodynamical quantities was analyzed from different points of view. By rescuing the Fermi ideas about the good definition of a tensor in special relativity, Nakamura [19,20] was able to give a covariant definition of the volume, the temperature and other thermodynamical quantities In this order of ideas, Ares de Parga et al [21,22], developed a consistent covariant theory, based on their first article [18], where they redefined the concept of internal energy and obtained a general theory that recovers the Rohrlich [15] and Gamba formulations [23]. The objective of this work consists of deducing the Lorentz transformations by considering that the laws of classical thermodynamics are invariant under changes of inertial reference frames.
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