The Vacuum Polarization (Schwinger Limit) Correction: Deterministic Lattice Mechanics and Geometric Saturation

Abstract

This treatise presents a deterministic geometric resolution to the infinities of quantum electrodynamics by replacing smooth field assumptions with a rigid, load-bearing spatial lattice. Utilizing the Hollin-Levine framework, the paper establishes the foundational master equation for critical vacuum polarization and caps the breakdown threshold at an exact geometric multiple defined by the universal snap constant (\Omega = 2.135876) and Keplerian close-packing efficiency (\tau = 0.74). By publishing this specific predictive ceiling in advance, the work provides an unyielding, falsifiable benchmark for upcoming high-intensity laser and nonlinear QED experiments.