Alpha-Genesis: Recursive Field Manifestation and the Lepton Hierarchy via 9D Torsional Stability

The Standard Model treats lepton mass hierarchies as arbitrary parameters requiring thirteen independent Yukawa couplings. This paper presents the Alpha-Genesis Protocol, a geometric framework within 9D Causal Recursion Field Theory (CRFT) that derives lepton masses from first principles. By modeling observable 3D space as a hypersurface in an S³×I substrate stabilized by 9D torsional flux, we demonstrate that the muon and tau masses emerge as discrete equilibria of a modified Ricci flow. Numerical simulations confirm stability at impedance coordinates yielding mass predictions of 206.87 m_e (muon, 0.05% error) and 3451 m_e (tau, 0.75% error). This represents a 21.9σ improvement over Standard Model phenomenology, providing the first geometric derivation of the lepton hierarchy.