2001/01/29 by R. M. Kiehn, Kiehn, R. M. · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0101032
33 pages pdf
arxiv created 2001/01/29 · openalex publication_date 2001/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.