The Geometric Law of Atomic Ionization: A Deterministic First-Principles Framework Replacing the Empirical Periodic Table

Abstract

Virgin Wave Theory v2.2 presents the first deterministic equation capable of generating all periodic chemical behavior from geometry alone. The theory models atoms as wave-arc lever systems where ionization tendency is governed by three factors: a mechanical lever r/R_core, an asymmetric exponential valence response Φ centered at N=4, and an orbital damping factor Ω. Calibrated using hydrogen as the universal zero-point, VWT v2.2 predicts metallic loss, covalent sharing, and non-metallic gain