一般场论方法（反对称微分形式方法）
Approaches to general field theory (The method of skew-symmetric differential forms)
摘要：
场论的基础是闭外微分形式（定义在流形上的具有闭度量形式的反对称微分形式）的性质，它反映了物理场的守恒律的性质。可以对物理场和相互作用进行分类。因此，（0-形式）对应于强相互作用，（1-形式）对应于弱相互作用，（2-形式）对应于电磁相互作用，而（3-形式）对应于引力相互作用。这是统一场论的基础。作为一般的场论，它不仅可以描述可能的物理场及其相互关系，而且可以揭示物理场的形成机制和这些过程的因果关系。它发生的基础上，这样一个理论，它可以成为理论的反对称微分形式定义在流形上的非封闭度量形式。这些微分形式被称为演化形式，它们修正了物质介质守恒定律（能量、线动量、角动量和质量的平衡守恒定律）的性质，并揭示了物质介质演化过程的机制。正是在这样的过程中，形成物理场的物理结构产生了。外部和演化斜对称微分形式理论揭示了物理过程的因果关系，建立了物理场和物质介质之间的关系，并允许引入物理场和相互作用的分类。
英文摘要：
The basis for the field theory are properties of the closed exterior differential forms (skew-symmetric differential forms defined on manifolds with the closed metric forms), which reflect properties of the conservation laws for physical fields. It is possible to classify physical fields and interactions. So, the (0-form) corresponds to the strong interaction, the (1-form) corresponds to the weak interaction, the (2-form) coorresponds to the electromagnetic interaction, and the (3-form) corresponds to the gravitational interaction. This is the basis of unified field theory. As a general field theory it can be a theory, which not only decribes possible physical fields and relation between them, but also discloses a mechanism of forming physical fields and the causality of such processes. It occurs that as the basis of such a theory it can become the theory of skew-symmetric differential forms defined on manifolds with unclosed metric forms. These differential forms, which were named the evolutionary ones, reflrect the properties of the conservation laws for material media (the balance conservation laws for energy, linear and angular momentum, and mass) and disclose a mechanism of the evolutionary processes in material media. It is in such processes the physical structures that form physical fields originate. The theory of exterior and evolutionary skew-symmetric differential forms discloses the causality of physical processes, establishes a relation between physical fields and material media and allows to introduce a classification of physical fields and interactions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
