The Geometric Origin of the Weak Interaction: Emergent Fermi Constant from Hyperspherical Tunneling in the UV-Defined ODD Bulk

The Standard Model parametrizes the Weak interaction using the empirical Fermi constant GF . Within the Operator-Derived Dimension (ODD) framework, this interaction emerges from geometric tunneling between hyperspherical fermion eigenstates embedded in a 5D bulk with a fundamental curvature scale kUV ≈ 173 GeV.
The observed low-energy weak strength arises from the combination of this high-energy scale and order-unity geometric overlap factors. Using parameter-free geometric inputs derived from the ODD vacuum structure, we obtain:
GODD F ≈ 1.166 × 10−5 GeV−2,
consistent with experiment at percent-level accuracy. This supports the interpretation of the Weak force as an emergent geometric phenomenon.