Point Particle Dynamics from Geometric Paths

A rudimentary model universe is formulated from gravitational and electromagnetic fields. Quantum mechanics and the subatomic interactions described through quantum mechanics are not included in the model. The behavior of the system is determined by an invariant action which includes contributions characterizing paths through the fields. No particles are assumed á priori. The existence of point particles, together with their structures as delta function densities, arises from the equations of motion of the system, and particle masses appear as integration constants of the path equations. The derived masses act as sources of the gravitational field, as well as measures of inertia. A modified Nordström/Reissner metric describes the gravitational field of each particle. The particles exhibit characteristics qualitatively similar to the properties of observed fundamental particles.