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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. And the field theory equations and discloses a connection between the field theory equations and the equations of mathematical physics.

The paper aims to show that the field theory equations, which describe physical fields, follow from the equations of mathematical physics, which describe material media. This is based on the properties of conservation laws that lie at the basis of unified and general field theories. (The conservation laws for physical fields and the conservation laws for material media are different conservation laws.)

skew-symmetric differential forms, conservation laws, evolutionary relation for functionals of the field theory equations, linkage between field-theory equations and the equations of mathematical physics, foundations of field theory.