An Interpretation of Schrödinger-Ehrenfest Matter Wave Forces via Constructive Interference Patterns in the Double-Slit Experiment

This study defines a neutron as a string with intrinsic vibrational states and numerically clarifies the mechanism by which classical mechanical laws of motion transition into quantum mechanical matter-wave states based on the Ehrenfest Theorem. By deriving the resonance phenomenon—where spatial energy gradients and temporal vibrational terms (cosωt) synchronize within a 3D potential distribution—into a final force equation (Equation 8), this research reinterprets the wave-like characteristics of particles in double-slit experiments as deterministic physical states driven by constructive interference, thereby completing the numerical connectivity between quantum and classical mechanics.