Cross-Sector Pattern from Two Constants: Eight Standard-Model Observables Constrained by p and q

Abstract

We report an empirical pattern in which eight Standard Model observables—the Higgs mass, the top-quark mass, three PMNS mixing angles, two CP-violating phases, and the strong coupling constant—are constrained to within ±1% by two constants, p≈0.5437 and q=1/5, with zero adjustable parameters. The constants originate from the full-spinor spectral geometry on S3 and the real spinor dimension of Cl(9).Nontrivial cross-sector identities emerge: the top-quark mass satisfies mt=v,ΩΛ, and the strong coupling satisfies αs=Ωcdmh2. Both the leptonic and quark CP phases converge to approximately 65∘.The microscopic mechanism is currently unknown. These formulas are presented as a rigid numerical structure awaiting theoretical explanation, analogous to empirical regularities that preceded the Balmer-Rydberg law and the eightfold way. The pattern is falsifiable by upcoming experiments including JUNO (2026) and DUNE.