Sixteen Theorems from Modular Tensor Categories: Universal Corrections, Gauge Couplings, Flavor Structure, Strong CP, Three Generations, Lepton Mixing, Gauge Unification, Neutrino Masses, the Hierarchy, the Cosmological Constant, the Fermion Mass Spectrum, the CKM Matrix, Dark Matter, the Strong Coupling, and the Higgs Self-Coupling

We prove sixteen theorems within the framework of the self-dual modular tensor category SU(3)_3 x SU(2)_2, deriving 36 Standard Model parameters with zero free parameters (30 verified against data, RMS accuracy 1.99%). Version 24 adds: (1) systematic NLO corrections to all 30 predictions — 2-loop gauge coupling RG, Liouville dressing (m_H error: 1.72% → 0.87%), electroweak Δr (M_W error: 0.52% → 0.07%), and 3-loop threshold matching (α_s error: 0.29% → 0.12%), confirming perturbative control; (2) 13 condensed matter predictions — TEE values γ = ln(6), ln(2), ln(12); thermal Hall conductances κ/κ₀ = 4, 3/2, 11/2; torus GSD = 10, 3, 30; non-Abelian braiding phases e^{2πi/9} for SU(3)₃; and a predicted SU(3)₃ FQH state at ν = 1/2, providing an independent experimental pathway via cold atoms and graphene. Three SU(2)₂ predictions already verified (ν = 5/2 thermal Hall, TEE, GSD). Together with the NCG bridge (v23), Bayesian comparison (v21: log₁₀ BF = 91.2), and gauge group derivation (v22), this establishes the MTC framework as the most complete zero-parameter derivation of the Standard Model.