Hyperbolic Flavor Geometry

Two compact hyperbolic 3-manifolds, selected by arithmetic criteria that have nothing to do with particle physics, reproduce the CKM matrix, the PMNS matrix, and the CP-violating phase of the Standard Model.

This lecture covers ten dimensions of geometric structure — volume, homology, cusp shape, Galois group, trace field, geodesic twist, Chern-Simons invariant, Bloch-Wigner function, Dehn surgery slope, and covering tower — and what each one encodes about the physical world.

Every claim is tagged: Proved, Computed, or Conjectural. Nothing is overclaimed.

Full corpus and preprints:
hyperbolicflavorgeometry.org

21 preprints on SSRN.
ORCID: 0009-0006-4550-2663

Marvin L. Gentry
Independent Researcher
Naturopathic Physician, WA State