The BCT Superfluid Lattice Model: Complete Derivation of Standard Derivation of Standard Model Parameters from Vacuum Geometry

This volume provides the comprehensive theoretical framework for deriving Standard Model observables using three geometric inputs and zero free parameters. The model utilizes an octonionic void identity to link QCD and electroweak metric factors through D4 self-duality, formalizing the lattice geometry, stability lemmas, and mode sum calculations as a unified, audit-proof model. Contents: I. Theoretical Framework: Vacuum structure, octonionic void identity, and D4 self-duality. II. Standard Model Derivations: PMNS/CKM matrices, Koide formula, and fine structure constant derivations. III. Appendices: Stability lemmas, Josephson loop integrals, and Letters 245–248.