Spherical Harmonic Mechanism and Lithospheric Depth Selectivity in the FNIZ Model: 16-Test Empirical Validation

This paper documents the complete validation of the Fraction-Network Interface-Zone (FNIZ) model through 16 independent statistical tests. The research program evolved from a speculative Schumann resonance hypothesis (December 2025) through rigorous statistical testing that forced abandonment of the electromagnetic interpretation while revealing an unexpected empirical regularity: the model's λ-fractions (λ/3, λ/5, λ/20) correspond almost exactly to Earth's spherical harmonic degrees 3, 5, and 21 (all within 4% error). Critical new tests demonstrate that: (1) the parameter λ = 38,610 km sits on a sharp optimality peak with Z-score = 4.39, ruling out arbitrary selection; (2) the 12 anchor sites significantly outperform random configurations constrained to plate margins (p = 0.001), falsifying the "lucky coincidence" hypothesis; (3) GOCE/GRACE satellite gravity data independently confirms lithospheric selectivity with geoid lows (deep mantle) = 0% and Bouguer highs (crustal thinning) = 60%; and (4) a depth selectivity rule (Depth ≈ R/l) successfully predicts why specific fractions detect features at specific depths. The model preferentially detects crustal thinning zones (75% hit rate), plate-margin deposits (porphyry copper 60% at λ/3; kimberlites 60% at λ/5), while sedimentary oil/gas shows 0%—validating the depth mechanism. The archaeological correlation is reinterpreted as indirect: ancient sites selected for surface resource access happen to sample Earth's spherical harmonic structure.