arXiv 0704.24732007-04-19math-phmath.MP

守恒定律。物理场的生成。场论原理

Conservation laws. Generation of physical fields. Principles of field theories

L. I. Petrova

备注：: 14 pages

摘要：

在该文件中的作用，守恒定律在进化过程中，这在物质系统（在物质介质），并导致产生的物理领域，显示使用反对称微分形式。本文除了以可微流形为基础的外部形式外，还利用了变形（不可微）流形上的斜对称微分形式。这种斜对称形式（由于它们具有演化性质，所以被称为演化形式），以及封闭的外部形式，描述了守恒律。但与描述物理场守恒定律的外部形式相反，演化形式对应于物质系统的守恒定律。进化形式具有独特的特性，即封闭的外部形式是从这些形式中获得的。正是这一点使人们能够描述物理场的产生过程，揭示物理场与物质系统之间的联系，解决现有场论的许多问题。

英文摘要：

In the paper the role of conservation laws in evolutionary processes, which proceed in material systems (in material media) and lead to generation of physical fields, is shown using skew-symmetric differential forms. In present paper the skew-symmetric differential forms on deforming (nondifferentiable) manifolds were used in addition to exterior forms, which have differentiable manifolds as a basis. Such skew-symmetric forms (which were named evolutionary ones since they possess evolutionary properties), as well as the closed exterior forms, describe the conservation laws. But in contrast to exterior forms, which describe conservation laws for physical fields, the evolutionary forms correspond to conservation laws for material systems. The evolutionary forms possess an unique peculiarity, namely, the closed exterior forms are obtained from these forms. It is just this that enables one to describe the process of generation of physical fields, to disclose connection between physical fields and material systems and to resolve many problems of existing field theories.

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