Covariant Electrodynamics with a Scalar Degree of Freedom

Abstract: Within the Clifford algebra of spacetime, a covariant electrodynamics is formulated in which the derivative of the four-potential contains a scalar field (S) in addition to the electromagnetic bivector. A generalized system of Maxwell equations is derived that reduces to the classical Maxwell system when S=0. The energy-momentum tensor, the corresponding conservation laws, and a generalized Lorentz force density are obtained. It is shown that, in free space, the field S admits wave solutions, termed scalar S-waves. The structure and energy characteristics of a free S-wave, as well as its possible sources and the conditions for its experimental detection, are determined.