Abstract
We take the Relativity as model, process termed “geometrization”, but with Bargmann symmetry group, an extension of Galileo’s group acting on a 5-dimension space. The entropy is generalized as a 4-vector and the temperature as a 5-vector. The introduction of the friction and momentum tensors allows to obtain a covariant formulation of the first and second principles of Thermodynamics.
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de Saxcé, G. (2021). Galilean Thermodynamics of Continua. In: Barbaresco, F., Nielsen, F. (eds) Geometric Structures of Statistical Physics, Information Geometry, and Learning. SPIGL 2020. Springer Proceedings in Mathematics & Statistics, vol 361. Springer, Cham. https://doi.org/10.1007/978-3-030-77957-3_6
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DOI: https://doi.org/10.1007/978-3-030-77957-3_6
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