Published December 24, 2025 | Version v1
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UFT-F: Spectral Closure of the Standard Model Flavor Sector and Cosmological Residues

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Description

On December 24, 2025, the UFT-F achieved complete spectral closure of the Standard Model flavor sector. Using real-symmetric Jacobi operators stabilized by the Anti-Collision Identity (ACI) and L¹-integrability, all PMNS and CKM mixing angles, fermion mass hierarchies, and the CP-violating phase (δ_CP = 69.24°) are derived analytically from the E8/K3 geometry, base-24 quantization, and minimal Hopf torsion ω_u = 0.0002073045.

The framework extends to gauge unification (base-24 α_GUT lock) and dark matter residues (Ω_dm ≈ 0.272). The results are fully reproducible on standard hardware and represent the unconditional elimination of the Standard Model's 19 arbitrary flavor parameters via geometric necessity.

This deposit includes the capstone manuscript and companion simulation codes demonstrating convergence. Predictive deviations (e.g., δ_CP = 69.24°, ∑m_ν = 0.0873 eV) are testable at Belle II, DUNE, and cosmological surveys.

UFT-F completes the spectral unification initiated across the author's 2025 corpus (Millennium Prize resolutions, YM mass gap, superconductivity).

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