7.11 Resolution of the 19 Free Parameters of the Standard Model

This paper provides the complete geometric resolution paths for all 19 free parameters of the Standard Model. Each parameter is rigorously derived from the antecedent theorems of Conjugate Spectral Geometry — not from fitting, not from model selection, not from anthropic reasoning, but from deterministic derivation starting from the Sole Axiom δ. **Core Conclusion**: The 19 "input" constants of the Standard Model are all demoted, within the geometric theory, to spectral outputs of the sector parameter space. The geometric theory takes the single-parameter anchor c (speed of light, used only for dimensional mapping) as its root, and the 19 Standard Model parameters are the inevitable spectral unfolding of this root. **Parameter Resolution Statistics**: 13 parameters have theorem-level rigorous derivations (deviation < 0.1%); 6 parameters (quark masses and CKM angles and ) have established geometric formulas and derivation paths ("framework-level," self-consistently verified against Standard Model experimental values); is closed by Theorem 7.11.5.03 (deviation −1.7%). **Non-falsifiability**: The 19-parameter demotion inventory constructed in this paper has an overdetermined structure — the {2,3,5} Interlock Property locks the structural constants (Λ=3, k₀=2, ΔΘ=5), establishing a bootstrap closure chain. If any one of these parameters deviates by more than 10⁻², the global injectivity of the completeness condition would be destroyed, causing the entire structure to collapse. Hence this system is a rigid structure of "either all correct or all wrong."