Electromagnetic interaction in the Bonnor-Moffat-Boal unified field theory

Recently Moffat and Boal proposed a unified field theory of electromagnetism and gravitation. The theory is based on a nonsymmetric tensor field $g_{\mu \nu }$. The field equations of the theory are identical to those proposed by Bonnor some years ago in a modification of Einstein's unified field theory, but Moffat and Boal interpret the field $g_{\mu \nu }$ in a different way from Bonnor and represent particles by singularities of a particular type. In this paper we show, using a fast-motion approximation procedure, that charged particles in the new theory interact in the lowest nontrivial order of approximation through the complete laws of classical electrodynamics—Maxwell's equations for the electric and magnetic fields, the Lorentz force and the radiation-reaction force acting on the particles.