连续拓扑演化
Continuous topological evolution
摘要：
一个非统计的理论，连续的，但不可逆的，演化可以建立在嘉当演算。对于一个承认不可逆过程的进化理论来说，其基本假设是，初始状态的拓扑结构将不同于最终状态的拓扑结构。建立了连续演化的几个基本定理，得到了可逆或不可逆过程的一组全局守恒律。作为例子，比较了流体动力学系统和电磁系统的拓扑挠率和拓扑作用量的演化。建立了拓扑挠率的演化与不可逆过程之间的关系。
英文摘要：
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.
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