Theoretical justification of faraday's experimental law

Abstract

So far, the fundamental laws of nature can only be obtained experimentally. Among them is Faraday's law of electromagnetic induction in mathema-tical representation as Maxwell's second law of the elec-tric field. Theoretically, it is impossible to obtain it on the basis of the laws of electrodynamics. Therefore, in the work, a bold attempt is made to theoretically obtain its analogue in the gravitational field, and then, on the basis of electromechanical analogies, to return to the electric field. What has been successfully done. But before that, there was a need to mathematically rehabili-tate the electromechanical analogies themselves, the reputation of which had suffered in the process of the reverse extension of the law from electricity to gravity under the name of gravito(electro)magnetism. Such immersion in the world of two disciplines - electricity and mechanics − is fundamental for a deeper understanding of physical processes, and at the same time for their quantitative detection.