UNIFIED FIELD THEORY

A solution is given to the problem of constructing a unified theory of the gravitational and electromagnetic fields. The theory exhibits the following features 1 It is fully geometrical, the geometry being a special type of four-dimensional Riemannian space-time. 2 It is completely unified, all physical features i.e., all curvature being introduced via a quantity which transforms irreducibly under the coordinate transformations of general relativity. 3 The gravitational field and the electromagnetic field are inextricably linked, each being merely a different manifestation of the geometrical structure. 4 Charged particles move according to the Lorentz force law. 5 The energy density is everywhere nonnegative. 6 The field equations insure that the electrical current density is everywhere timelike and that charged particles have extended structures rather than point structures.