Charge-Entanglement Ontology Nuclear Masses from Three-Planar Dipole Packing Paper 38

This paper presents a mechanical derivation of nuclear masses within the Single Alpha Void Ontology. Stable nucleons are shown to emerge from the locking of three orthogonal reclamation waves (one per spatial dimension) around a shared spinning destructive interference node (Alpha Void Tear). This three-planar geometry directly yields the simple leading-order relation \( m \approx n_{\rm total}/3 \approx A \) (in atomic mass units). Small corrections arising from helical shell closures (governed by the fixed twist angle \(\theta = \arccos(e_0) \approx 15.85^\circ)\) and Coulomb-induced eccentricity stress are derived from the single primitive eccentricity parameter \( e_0 \approx 0.962 \). The resulting compact mass formula reproduces observed nuclear masses with high accuracy, naturally explains magic numbers, the iron peak, and the near-integer character of atomic masses. All terms trace back to static photon dipoles and dimensional wave-locking, maintaining strict single-primitive consistency with no new particles or forces. The framework offers mechanical explanations for nuclear stability, shell structure, and binding energy, while providing testable predictions including new magic numbers and temperature dependence of the fine-structure constant. This work forms part of the Charge-Entanglement Ontology series based on the foundational Master Reference Document v3.1.