Non-Equilibirum Systems and Irreversible Processes, Vol 5: Topological Torsion and Macroscopic Spinors (Buy Now)
Adventures in Applied Topology..... Non-equilibrium systems are of Pfaff topological dimension > 2. Contact manifolds of Pfaff dimension 3 and Symplectic manifolds of Pfaff dimension 4 have complex vectorial components as eigendirection fields of the 2-form dA with zero quadratic form. They are Spinors, not classic vectors, and are the basis of topological fluctuations, dissipation, and irreveversibility.