We derive the Standard Model and general relativity from a single algebraic input: the modular tensor category SU(3)₃ ⊗ SU(2)₂. This MTC has total quantum dimension D = 12, central charge c = 11/2, and 30 anyon types. From this structure alone — with zero free parameters — we reproduce 12 measured Standard Model observables (gauge couplings, mixing angles, and the Higgs mass) to better than 5% accuracy, with 7 of 10 within 1% and the Higgs mass within experimental uncertainty at 125.27 GeV. Version 2 adds five companion papers: Testable Predictions — 12 retrodictions, 5 near-future predictions (HL-LHC, DUNE, CMB-S4), 5 sharp falsifiers, and comparison with SUSY/String/LQG Gravity Derivation Review — Mathematical audit of the 15-step Walker-Wang → Plebanski → Einstein chain, with rigor classification (6 proven, 6 standard, 2 physical, 1 conjectural) Condensed Matter Bridge — Laboratory realization proposals for SU(2)₂ (FQH), SU(3)₃ (cold atoms), and the Walker-Wang model (superconducting qubits), with a 5-stage experimental roadmap Why This MTC? — Uniqueness theorem proving SU(3)₃ ⊗ SU(2)₂ is the only product MTC satisfying SM gauge group + massless graviton + anomaly cancellation + level-rank self-duality Verification Script — 35 automated checks confirming all computations
Adam Bazih (Sat,) studied this question.