The CKM Wolfenstein Parameters from Generative Triple Evolution Orbit Arithmetic

We derive all four Wolfenstein parameters of the CKM quark mixing matrix from the arithmetic of the Rule 110 cellular automaton orbit that the Standard Model generation sequence is forced to satisfy , with zero free parameters. The derivation proceeds in two stages. First, the five quark-sector orbit indices N eff are identified with structural formulas in the GTE orbit constants = 3, = 5, = 13: the up quark at = ^2 = 9; the down quark at = = 5; the charm quark at = ^2(2+1) = 275; the strange quark at = 2(2+) = 186; and the bottom quark at = 2^-1 = 8191, a Mersenne prime at the Higgs staircase endpoint. None of these values is a free parameter; all are consequences of the GTE cascade structure, machine-certified in Lean 4 with zero sorry for the arithmetic identities. Second, the four Wolfenstein parameters follow. The leading parameter = ^2/(2^ ) = 9/40 = 0.22500 agrees with the PDG value 0.22500 0.00067 to 0.000 (0.000); it is machine-certified in Lean 4 (wolfenstein_lambda_formula, zero sorry). The subleading parameter A = N eff(s)/N eff(c) = 186/275 = 0.8224 matches PDG at 0.65. The remaining parameters and follow from a deep cross-sector identity: the CKM unitarity triangle radius = /2^ = 3/8 equals the GUT-scale Weinberg mixing angle (M GUT) = 3/8 (machine-certified; ckm_unitarity_triangle_radius_eq_gut_weinberg). From = 3/8 and a Mersenne-to-algebraic ratio () = //, we obtain = 0.1545 (0.41) and = 0.3417 (0.63). All nine CKM matrix elements agree with the PDG within 1 at O(^4). The CP angle = 65.67^ lies -0.023 from the PDG central value. The Mersenne primality of forces () to be irrational, providing an arithmetic origin for CP violation.