Matter Described by Fractional Dimension Interactions

We propose an alternate unified theory of matter, space, and time that is based upon the propagation, interaction, and dynamic equilibrium of a difference between systems that evolves at a fractional rate, generating a fractal space and time. A simplified fractional Lagrangian evolution operator is used to develop dynamically bound correlated systems of changing differences. We develop a master equation whose solutions describe the interaction and rate of change of correlated difference systems in terms of the fundamental units of momentum and a waiting interval as they change through correlated time intervals. Degrees of symmetry freedom occur from consideration of the number of difference systems interacting in a bound, correlated dynamic equilibrium. We apply the theory to gravitational and inertial force through variations in the waiting interval.