Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution

A concept of entropy production associated with continuous topolog-ical evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium symplectic system of Pfaff Topological dimension 2n+2. The differential entropy, dS, is composed of the interior product of the non-canonical components of momentum with the components of the differential velocities. An irreversible process can describe entropy production in terms of continuous topological evolution to non-equilibrium but stationary states. An equilibrium system can be defined topologically as a Lagrange sub-manifold of the 2n+2 topological space, upon which the change in entropy by continuous topological evolution is zero, dS {equil} =0. ––––––––––––––––––––––––––––––––––––—