Charge-Entanglement Ontology: Geometric Derivations from Alpha Void Tears Paper 2: The Mathematical Core

This paper presents the mathematical core of the Charge-Entanglement Ontology, a minimal geometric framework in which charge polarity is the sole primitive and the elliptical alpha void tear is the fundamental object. All major equations — including the energy-volume relation \ (K = P V₀\), locking factor and rest mass, the full set of Dirac matrices \ (\), \ (\), \ (₅\) derived geometrically from tear circulation and radial stabilization, chiral projections, mass-chirality mixing, entanglement rebalancing, photon bow/stern circulation, ringdown frequency, damping time, chiral memory tail, DC memory offset, dark energy from foam repair, and cosmic evolution — are derived step by step from the tear volume scaling \ (V_ = n V₀\), vacuum pressure \ (P\), and critical back-EMF \ (₂ₑ₈ₓ = 1 - 1/n²\). The framework offers a coherent, self-contained alternative starting point for theoretical physics, reducing spacetime, matter, forces, and cosmology to variations of the same geometric structure. It is presented as a speculative ontology with explicit derivations and clear falsifiable predictions for future experimental scrutiny.