Unknown equations in the elerctromagnetic fields

Abstract

With the help of the extremal theory of dimensions, a close relationship between gravity and electromagnetism was proved and unknown differential equations were found in parallel and consecutive electrical circuits. This became possible due to the use of higher derivatives (in the equations of motion), engendering hitherto unknown forces, which actually affect on dynamics and are far from small, but have not been known until now. This fact was most clearly manifested in a mechanical structure called Tolchin’s inertioid, which moves with high acceleration due to internal rotations and does not obey to the known laws of mechanics. Its movement turns out to be quite understandable only from the standpoint of the higher derivatives of its movement. A similar phenomenon takes place also in the electrical circuits and it is demonstrated in relation of problems in which the differential equations are sought by means of the extremal theory of dimensions. In this work, by means of the “extremal theory of dimensions”, we prove the close connection between gravitation and electromagnetism and also we find the generalization of the known differential equations of the electrical engineering.