Model of embedded spaces: the field equations

Abstract

A study of the Model of Embedded Spaces (MES) with a relativistic version of Finslerian geometry is continued. The field equations of the MES (Einstein and Maxwell types) are derived, and this formally completes geometrization of classical electrodynamics. The minimal action principle leads to geometrization of the field sources (the right-hand sides of the equations) and, as a consequence, to a field hypothesis of matter, a direct confirmation of W. Clifford's ideas.