Modeling of physical fields by means of the Cosserat continuum

Abstract

We consider a special type Cosserat continuum and suggest analogies between quantities characterizing the stress-strain state of the continuum and quantities characterizing physical processes. Such an approach provides us with the ability to derive equations describing electricity, magnetism, and other physical phenomena. This study continues the line of our earlier research. In the present paper, we obtain equations that can be treated as a generalization of Maxwell's equations. The main difference between the proposed equations and classical Maxwell's equations is in the description of magnetic phenomena. In particular, we introduce the concept of a magnetic charge vector and show that this quantity, like the electric charge, satisfies the conservation law and the Gauss law. We are convinced that the magnetic charge vector is the most appropriate physical quantity to characterize the state of a magnetized body. In addition to modeling the electromagnetic field, we make assumptions about how the proposed model can describe the field corresponding to the strong interaction.

Dynamics of matter and energy

“…String, superstring, and M‐brane theories [87, 93, 94] consider strings and membranes, and implement them to the framework of field theory. Micropolar continuum based theories [68, 70] [84, 95–97] use rigid bodies with rotational degrees of freedom as superparticles, which allows describing the ether structure with less expense than string theories do. Thus the theory of world 2 is currently under construction, but the concept of the world hierarchy, shown in Table 3, from our point of view, can help to give physical insight to mathematical expressions, optimize interconnection of the corresponding theories and provide hints for their further development.…”