The CP-violating phase of the CKM quark-mixing matrix is a free parameter of the Standard Model. We report that within a G2 algebraic framework established in prior work, two independent constructions yield the same value for this phase. The first is the angle whose cosine is the ratio of two operator values, arccos (69/195) = 69. 28°. The second is an angular measure of the constraint sector, 9 × wconstraint × 360° = 69. 34°, where wconstraint = 0. 0214 is the constraint-sector weight from the symmetry-breaking analysis. The two constructions, which share no common input, agree with each other to 0. 06°. The common value, 69. 3°, is consistent with the measured CKM phase: the directly determined angle is = γ 65. 9° ± 3. 3°, placing the framework value at the upper edge of the current one-sigma band, and it coincides closely with historical global-fit values of ≈ 1. 20 rad. We present this as a fixed, parameter- δ₁₃ free prediction: CP ≈ 69. 3°, to be confirmed or excluded as measurements of tighten over the coming δ γ years. Keywords: CP violation, CKM matrix, CP-violating phase, quark mixing, G2 algebra, unitarity triangle, flavour physics
Vali Ilyas (Sat,) studied this question.