QCD Structure from the Generative Triple Evolution Substrate: Asymptotic Freedom, Confinement, and Hadron Spectroscopy from F21 subset SU(3)

The group = _3, identified as the (21) Frobenius group, is a finite subgroup of SU(3) forced by Frobenius norm ratios and MDL minimality (no free parameters, machine-certified in Lean 4, zero sorry). Under restriction to , the SU(3) adjoint decomposes as 8 = 1' 1'' 3 3, reproducing the GTE colour-octet structure. All QCD colour factors (C_F = 4/3, C_A = 3, T_F = 1/2) and structure constants f^abc are reproduced to machine precision (). The one-loop (b_0 = 7) and two-loop (b_1 = 26) -function coefficients follow from the species count (both ). Three-loop running gives _s(M_Z) = 0.1193 (+1.10\% vs.\ PDG 2024). Three independent arguments force theta_QCD = 0 without a Peccei-Quinn axion (, ROBUST). The QFT mass gap is established unconditionally from orbit arithmetic (, zero axioms). From zero PDG inputs: f_^SCC = 92.34\,MeV (+0.30\%, ); m_^GTE = 139.57\,MeV (-0.001\%, 0.00, via pion\_mass\_from\_gor); -' mixing _P = -13.08^ 3.74^ (within PDG range); _top^1/4 = 166.5\,MeV (-6.4\% ); and baryon spin J = 1/2 (seven zero-sorry Lean theorems). The framework is an EFT below the seven-kink threshold _GTE = 7\,M_kink 2.0\,GeV (tree (8/7)\,m_ = 2030.70 0.14\,MeV, ; quantum-corrected 1.970 0.146\,GeV, ); the SU(3) UV completion is conjectural.