Four-dimensional electromagnetic field theory

It is shown that has two components, in general, the magnetic field: the vortex and potential. Therefore, for a complete description of the magnetic field should be used four-dimensional vector. Potential magnetic field is detected, for example, when considering an individual charged particle. It also creates a line of finite length and current multi-loop electrical systems. It is shown that the calibration of Coulomb and Lorentz are partial relations and applicable only for an infinite linear current and secluded closed loop with current. Without the use of the Lorentz gauge of wave equations, the differential equations of generalized electrodynamics. These equations describe how the vortex and potential electromagnetic processes. This approach corresponds to the Helmholtz theorem and allows you to build a complete and consistent theory of the electromagnetic field.