Abstract
The fundamental nature of motion remains a central issue in physics, as evidenced by the theoretical dichotomy between quantum mechanics and general relativity. Resolution of this discrepancy may require new approaches to understanding of the mechanics of motion. To this end, we propose a new model of motion that incorporates the properties of a random resistor network. The self-similar nature of such networks is particularly useful in extrapolating force interactions to different levels of scale. By modeling time as a fluid and space as a lattice composed of conducting bonds at the level of the Planck length, a simple equation for mass, time, and motion is derived that provides a novel mechanism for the displacement of matter.
Jerome Cantor