Authors: Jay R. Yablon
Just as Maxwell’s magnetic equations emerge entirely from applying dd = 0 of exterior calculus to a gauge potential A, so too does the second law of thermodynamics emerge from applying dd=0 to a scalar potential s. If we represent this as dds = dU = 0, then when the Gauss / Stokes theorem is used to obtain the integral formulation of this equation, and after breaking a time loop that appears in the integral equation, we find that U behaves precisely like the internal energy state variable, and that the second law of thermodynamics for the entropy of irreversible processes naturally emerges.
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