BATCH-3.3 CKM-PMNS. Within Discrete Topological Torsion Theory (DTTT), the Cabibbo angle and the Cabibbo–Kobayashi–Maskawa (CKM) CP-violating phase δCKM are derived from the PU(3) Chern–Simons character variety of the trefoil knot complement S3∖N(T(2,3)). The Cabibbo angle λCKM=sin(π/9)sin(2π/9)/sin2(4π/9)=0.22668matches PDG 2024 (0.22650±0.00048) at 0.08% relative; the CP phase δCKM=13π/36=65.00∘ matches the PDG unitarity-triangle angle γ=65.4∘±1.5∘ at 0.27σ. Both derivations have zero fitted dimensionless parameters. The Cabibbo formula is the Reidemeister–Turaev (Alexander) torsion of the trefoil at the 9th root of unity; the CP phase is the Maslov index of the Chern–Simons critical orbit on the character variety, with the integer 13 arising from the trefoil-unique identity 2pq+1=p2+q2=13. A second independent derivation of δCKM=13π/36 from the cyclotomic identity arg(Φ6(e2πi/q2))=2π/q2 agrees exactly, and a third (Chen–Ruan q=3 orbifold cohomology) route raises the F-576 overdetermination signature from two-route to three-route. Canonical falsifiable CKM-sector prediction (load-bearing residue). The same Chen–Ruan computation yields the Wolfenstein parameter A=1−2/(3π)=0.7878 from three orbifold factors (C0=1/q, C1=2, C2=1/π); this topologically derived value sits at 3.18σ from the PDG global-fit A=0.826±0.012. The 3.18σ A-tension is flagged as the canonical falsifiable DTTT prediction for the CKM sector — a conditional-DERIVED genuine prediction, not a fitted match. DTTT predicts the experimental central value drifts down with future precision (LHCb Run-3 + Belle II Vcb reconciliation 2026–2028); the opposite drift, or PDG tightening to A>0.85 at >3σ with no DTTT route closing, is the substantive falsifier branch. PMNS lepton sector extension. The paper extends to the PMNS lepton mixing angles θ23=arcsin(1/2)=45∘(closed-form route) or sin2θ23=7/13 (stratum-fraction upper-octant route; the octant fork is OPEN), θ13=arcsin(3/7λ)=8.53∘ (with an independent Torres-holonomy route giving 9.0∘), and θ12≈32.7∘, together with the leptonic CP phase δCPPMNS=32π/27≈213.3∘ (STRONG-CONJECTURE; DUNE / Hyper-K falsifier M-PMNS-DELTA-CP). The shared-substrate / different-denominator relation 36=c3q2 (CKM) vs. 27=q3 (PMNS) is the substrate-discrimination signature (L41): both sectors derive from the same T(2,3) Seifert orbifold with q=3. Distinction from strong-CP. Per ratified decision D-011, this paper addresses only the weak-sector CKM phase δCKM (observed, large, O(1)); the strong-sector vacuum angle θQCD≲10−10 is treated in companion Paper-14 (strong CP). These are two distinct CP problems with different topological inputs and different DTTT answers. Honest residues catalogued. (1) Wolfenstein A 3.18σ tension (load-bearing for Prediction P1; canonical falsifiable CKM prediction). (2) 13π/36 vs. 8π/21 two-angle reconciliation OPEN. (3) Q-ν1 neutrino-identity fork OPEN-WITH-PARTIAL-PROGRESS. (4) θ23PMNS octant three-route fork unresolved (45∘ / 48.0∘ / F-2024 palindromic 48.8∘). (5) sinθ23CKM = the last un-derived SM-26 dimensionless parameter.
Aaditya Bhatt (Wed,) studied this question.