Geometric Approach to Quantization and Unification of the Gravitational, nuclear, and electrostatic forces

A model universe is presented, featuring a single type of force expressed as a power law from which the observed forms of electrostatic, nuclear, and gravitational forces emerge. Interactions between the entities/particles within this universe are examined, and mass and charge are defined. Inherent characteristics of this universe include expansion when masses are added and an increase in mass with acceleration or velocity. The model can serve as a starting point and testbed for a quantum gravitational representation of physical quantities and their interactions. Furthermore, the model can be employed to introduce students to modeling interactions and fundamental forces through parameter selection and comparison to observable estimates.