Abstract: A didactic relativistic analysis of the cooling process of a sphere (Einstein process), initially at temperature TI, higher than that of the surrounding thermal reservoir TR, is presented. This analysis is conducted using a four-vector formalism that yields Newton's second law and the first law of thermodynamics for the process in two frames: frame K, where the system and thermal reservoir are at rest, and frame K in the standard configuration relative to K. Entropy variations are then computed in both frames based on energy exchange with the reservoir via thermal radiation (thermal photons) or thermal conduction (thermal phonons), by applying Born definition of heat and Clausius definition of entropy variation.

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