Continuous Topological Evolution

R. M. Kiehn, "Continuous Topological Evolution" (unpublished)

Abstract: A non-statistical theory of continuous, but irreversible evolution can be constructed in terms of the Cartan calculus. In such an evolutionary theory, the topology of the initial state can be different from the topology of the final state. Three fundamental theorems of uniformly continuous evolution are established, yielding a set of global conservation laws for reversible or irreversible processes. The equation for the uniformly continuous evolution of Topological Torsion (an entropic idea) is compared to the equation for the uniformly continuous evolution of Topological Action (energy).

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