A reexamination of unified field theory

Abstract

We study a nonlinear field theory with a nonsymmetric Γ jk i which has the property that all tensor functions of g ij , e i α , Γ jk i , and ∂ k are treated in a uniform manner. All scalar functions of g ij , e i α , Γ jk i and ∂ k are constants in such a theory. If the theory is to be meaningful, it is necessary for a set of consistency conditions to be satisfied. We, then, show that nontrivial solutions to these consistency equations do exist. We describe, in another paper, results of a finite difference approximation to the field equations which we have obtained using a computer. We show that the field equations are asymptotic to the conventional wave equation. We find particle-like behavior can be made to appear at an origin point. The theory does not involve any arbitrary functions. Thus, there is less arbitrariness in this theory as compared with other hyperbolic type theories.