  A non-statistical theory of continuous, but irreversible, evolution can be
constructed in terms of the Cartan calculus. The fundamental postulate, for an
evolutionary theory which admits irreversible processes, is that the topology
of the initial state will be different from the topology of the final state.
Several fundamental theorems of continuous evolution are established, yielding
a set of global conservation laws for reversible or irreversible processes. As
examples, a comparison of the evolution of Topological Torsion and Topological
Action is made for hydrodynamic and electromagnetic systems. The relationship
between the evolution of Topological Torsion and a thermodynamically
irreversible process is established.
