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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19563377 |
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Table of Contents:
- <p>We present a geometric effective framework for Standard Model flavor physics in which gauge interactions, mass hierarchies, and the CP-violating phase are described within a constrained geometric class consistent with the finite-model complete first-order theory VULCAN-R 1.0/16-LOCKED-REV3 \cite{vulcan_rev3_2026}. Under minimal assumptions on depth, branching, and spectral stability, the admissible internal manifold is restricted to $\mathcal{F}=S^5\times S^3\times S^1$ up to diffeomorphism. The UV fixed point $\lambda_*=9/4$ follows from the effective spectral dimension of transverse vector modes. Gauge potentials emerge as orthogonal projections in an information-geometric setting, with curvature encoding non-factorizability. The framework yields $n_g=3$ as the unique solution satisfying KM bounds, REV3 depth constraints, and anomaly cancellation, and predicts $\delta_{CP}=68.4^\circ$ at leading order, consistent with experiment within EFT uncertainties. All constructions are numerically verified and fully reproducible. This work operates in the post-projection regime of the triadic distinction framework (Paper~IV), establishing a concrete link between finite model theory, spectral geometry, and low-energy particle physics.</p>