Classical Universal Dynamic Interaction Equation and the Universal Static Interaction Equation

This work presents two original formulations: the Classical Universal Dynamic Interaction Equation and the Universal Static Interaction Equation, aimed at providing a unified approach to physical interactions in classical mechanics. The first integrates, within a single formalism, the gravitational force, the differences in inertial forces, and applied external forces, enabling the consistent analysis of multi-body dynamic systems. The second generalizes static interactions into a single model, capable of reproducing the results of gravitation, Coulomb, Hooke, and rigid contact laws solely through the appropriate choice of physical properties and the spatial dependence function. Both formulations are intended to demonstrate that it is possible to construct universal interaction equations, reducing the historical fragmentation of classical physics and proposing a single framework for the analysis of distinct phenomena, without any loss of mathematical rigor.