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
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 ⊗ SU(2)_2, deriving 36 Standard Model parameters with zero free parameters (30 verified against data, RMS accuracy 1.60%). Version 16: derives the complete gravitational sector from MTC data. The graviton emerges as the stress tensor T(z) with h=2 from the WZW boundary of the Crane-Yetter TQFT, with exact masslessness topologically protected by the Virasoro algebra and TQFT diffeomorphism invariance. The Planck mass M_Pl = v*exp(12pi+3/4) matches the unreduced Planck mass to 0.2%. Einstein's equations emerge via Jacobson's entanglement equilibrium argument (the TEE drops out of variations). Black hole entropy S = A/(4G) - (3/2)ln(A/l_P^2) - ln(D) follows from the Cardy formula with c=3/2; the -ln(D) = -1.24 topological correction is a distinctive MTC prediction. The gravitational theta-angle theta_grav = -pi/4 is testable via CMB parity violation at CMB-S4 and LiteBIRD.