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It is shown that different pairs of stress-energy and spin tensors of quantumrelativistic fields related by a pseudo-gauge transformation, i.e. differing bya divergence, imply different mean values of physical quantities inthermodynamical nonequilibrium situations. Most notably, transport coefficientsand the total entropy production rate are affected by the choice of the spintensor of the relativistic quantum field theory under consideration. Therefore,at least in principle, it should be possible to disprove a fundamentalstress-energy tensor and/or to show that a fundamental spin tensor exists bymeans of a dissipative thermodynamical experiment.

Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors