Theory of Everything: It Seemed Motionless, Yet It Was Dynamically Moving—A Unified Geometric Framework for Rotational Resonance

Abstract This paper presents a unified physical framework that reinterprets the fundamental forces of nature and the quantized energy states of atoms as manifestations of a single rotational vacuum field. We demonstrate that the gravitational parameter (GM) and the electromagnetic parameter (kQ) are not distinct physical constants, but are projections of a fundamental rotational torque flux, governed by the Master Equation A(r)=ω^2 R^3/r^2. By modeling fundamental particles as localized vacuum vortices, we provide a deterministic derivation of rotational frequencies (ω) for electrons, muons, and protons, demonstrating that these frequencies are consistent with observed physical mass-energy scales. Furthermore, we reveal that the quantization of atomic orbits is not a probabilistic phenomenon, but a geometric consequence of harmonic resonance within the vacuum’s elastic field. We demonstrate that the fine-structure constant (α) emerges as a geometric impedance factor, representing the coupling efficiency between the vortex field and the spherical symmetry of 3D vacuum space. This framework resolves the dichotomy between classical and quantum mechanics, replacing arbitrary postulates with geometric inevitabilities. Our results suggest that the universe is an elastic rotational medium, where all physical constants and quantization rules are emergent properties of rotational field acceleration.