Thermodynamics and the quantum stress-energy and spin tensor

In this paper, we show that thermodynamics is sensitive to the existence of a fundamental spin tensor. In general, the thermodynamics is not invariant by a change of the stress-energy tensor of a fundamental quantum field with a divergence transformation leaving the total energy, momentum and angular momentum unchanged. Among the quantities which are changed by such a transformation, there are densities at equilibrium with rotation and nonequilibrium ones like transport coefficients and total entropy. Therefore, at least in principle, it could be possible to probe the existence of a spin tensor, with major consequences for general relativistic theories, with a thermodynamics experiment.