A candidate framework relating Standard Model parameters to the exceptional Jordan algebra over split octonions, J₃(𝕠ₛ). Built on a rank-2 charge element Qvac = φ²e₁ + e₂ with spectral eigenvalues (φ², 1, 0). Three independent physical inputs — α, v = 246.22 GeV, MPl — plus one derived torsion coefficient βδ = 11/(6π) from G₂(₂) holonomy generate candidate relations for gauge couplings, fermion masses, and mixing angles.
Nine candidate relations enumerated — two closed, one closed-with-normalization, six proposed. Sub-1% agreement for gauge couplings and heavy quark masses. Primary candidate prediction: δCP ≈ −133.4° (PMNS-channel), testable by DUNE Phase II.
| sin²θW | = 1/φ³ − 2α/π | PROPOSED |
| θC | Cabibbo angle from Peirce coupling | CLOSED |
| δCP | ≈ −133.4° (PMNS, DUNE-testable) | PROPOSED |
| mt, mc, mb | Heavy quark masses (conditional yt=1) | PROPOSED |
| βδ | = 11/(6π) from G₂(₂) holonomy | CLOSED |