Уравнения классической электродинамики как следствие специальной теории относительности

The system of classical electrodynamics equations in an arbitrary and fixed environment with effects of polarization and magnetization has been derived from the fundamental properties of the special relativity theory (SRT) without using the classical theory of gauge fields. First noted, that the set of 4-tensor component of the electromagnetic field in the space of four dimensions consists of two different mathematical objects, one of which in space of three dimensions is pseudo-vector and the second is the true vector. Two different mathematical structures are compared with two different power vector fields (electric and magnetic), which made it possible to obtain a formal system of homogeneous differential equations of Maxwell. The tensor of the electromagnetic field is naturally represented by the sum of the tensor of the auxiliary quantities with components of three-dimensional vector fields of the magnetic field intensity and electric displacement and the tensor of moments with components of three-dimensional vector field of the medium magnetization and polarization. A source of the tensor of auxiliary quantities (postulate) is a vector field of the 4 – current. It enables us to obtain a system of nonhomogeneous differential equations of classical electrodynamics and the charge conservation law. The transformation laws of physical fields of classical electrodynamics in the transition from one inertial system to another have been justified. The equations for the electromagnetic field potentials in the three- dimension space, taking into account the Lorentz gauge, have been received. All the above sources of vector fields in the space of three and four dimensions and physical content of formally introduced physical quantities have been identified.