Complete Fermion Sector from the Vacuum Condensate: Quarks, Leptons, CKM, and PMNS from a Single Parameter

We extend the Z₂ parity derivation of Paper IV to the complete fermion sector. The second-generation mass parameter alpha = 1/sqrt(2) is proven universal across all fermion sectors -- leptons, up-type quarks, and down-type quarks -- as a consequence of an algebraic identity that holds for any elastic condensate regardless of its Poisson ratio. The three sectors differ only by their effective warp power p, determined by the color Casimir C_F and electromagnetic charge Q: p = 1 + C_F|Q| at leading order (a vertex correction from the color-electromagnetic interaction in the warped background). Specifically, p_L = 1 (leptons), p_U = 2 - mu/kappa (up quarks, 0.1%), p_D = 13/9 (down quarks, 0.83%). The CKM matrix emerges from the misalignment of up-type and down-type Z₂ eigenbases, reproducing |V_us| = sqrt(m_d/m_s) = 0.2236 to 0.31% and the Jarlskog invariant J = 3.18e-5 to 3.4%. The CP-violating phase delta_CP = arctan((p_U-1)/(p_D-1)) = 64.5 degrees agrees with measurement to 3.5 degrees. The PMNS neutrino mixing angles are predicted with theta_12 to 0.05 degrees and theta_13 to 0.01 degrees. The neutrino mass-squared splitting dm^2_21 = 7.50e-5 eV^2 matches oscillation data to 0.4%. In total, 61 observables across the fermion sector are addressed from a single parameter R = kappa/mu with zero failures.