Registry · Proposition
IV.P189
tau-effective
formalized
IV.P189 — Quark-Lepton Complementarity: θ₁₂+θ_C ≈ π/4 from Fiber-Base Duality
Quark-lepton complementarity (QLC): θ₁₂(PMNS) + θ_C(CKM) ≈ π/4. Wave 11A: fiber-base duality proof — quarks on T² (fiber) have small mixing θ_C = arcsin(ι_τ·κ_D), leptons on τ¹ (base) have complementary angle π/4−θ_C because T²×τ¹→τ³ imposes quarter-turn total mixing. Correction O(ι_τ²) from ω-sector coupling. Deviation 1.4° consistent with ι_τ²κ_ω correction.
Book IV
Part 5
Ch. 36