Mechanical Dynamics: Emergent Mass, Frequency Translation, and Orbital Mechanics

Abstract

Traditional continuous field theories and point-mass gravitational models often struggle to unify high-energy core dynamics with stable, non-collapsing macroscopic structures. In this paper, we propose a novel ``Mechanical Dynamics'' framework where fundamental constants of classical physics are replaced by an emergent model based on a discrete $n^3$ grid geometry. We define an ultra-high frequency core potential governed by the foundational relation $E = n^3 \cdot v_{\text{scout}}$, where individual $n^3$ units act as fundamental discrete matrices (analogous to foundational particles or atomic building blocks) possessing intrinsic energy baselines. By establishing a minimum-dip resonance principle, an inverse energy-to-mass coupling mechanism ($E \uparrow \implies m_{\text{shell}} \downarrow$), internal potential energy conservation, and a push-pull orbital mechanism, we demonstrate how active radiative systems naturally evolve over time into silent, gravitationally stable orbital anchors without relying on classical gravitational suction.