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Role of Skew-Symmetric Differential Forms in Field Theory. Foundations of the Unified and General Field Theoriesстатья
- Автор: PETROVA L.I.
- Журнал: Transnational Journal of Pure and Applied Mathematics
- Том: 2
- Номер: 1
- Год издания: 2018
- Первая страница: 1
- Последняя страница: 20
- Аннотация: Role of skew-symmetric forms in field theory is explained by the fact that they correspond to the conservation laws. It was shown that the solutions to the field theory equations (such as the equations by Dirac, Schr\H{o}dinger, Maxwell, Einstein and so on) are closed exterior skew-symmetric differential forms corresponded to conservation laws for physical fields. In this case, the degree of closed exterior form is a parameter that integrates field theories in unified theory. Then it was shown that from the mathematical physics equations, which consist of the equations of conservation laws for material media and describe material media, it follows the evolutionary relation in skew-symmetric differential forms that possesses the properties of field theory equations. The evolutionary relation is a non-identical relation for functionals such as the action functional, entropy, Pointing’s vector, Einstein’s tensor, wave function, and others. As it is known, the field theory equations are equations for such functionals. This points out to a correspondence between the evolutionary relation mathematical physics equations that lies at the basis of the general field theory.
- Добавил в систему: Петрова Людмила Ивановна