GCFT-0490–0500: Derivative-on-S Quantum Completion—Measure-Safe D06 Reduction and Fermion-Jacobian Accounting

This goal-level research bundle completes a narrowly defined quantum-consistency audit for derivative-on-S operator families in the SM-G02 effective-field-theory program. It preserves eleven linked records, GCFT-0490 through GCFT-0500, beginning with the natural-channel admission of the D06/D07 seeds, continuing through the full-SM classical reductions and action-normalized projectors, and ending with the fixed-order measure, source-Ward, and formal fermion-phase quotient audit.The central result is positive but deliberately bounded. The minimal D06 transformation is a Higgs-only scalar reparametrization at one retained dimension-six insertion. Its functional derivative is block triangular and the opposite scalar phase blocks cancel, so the scalar functional-measure Jacobian is one. No chiral fermion is rotated in that minimal map. The associated hypercharge EOM direction is independently anomaly-null. The previously demonstrated pure-D06 descendant signature \((-1,+1,+1)\) therefore remains nonzero after this quantum qualification.The package also makes the larger optional fermion-phase quotient honest. Individual chiral fermion phase rows carry formal local Wess–Zumino images, retained as ghost-number-zero reparametrization/source-Ward bookkeeping rather than silently discarded through a classical chiral rephase. The Standard-Model gauge Slavnov–Taylor identity remains unbroken; the Wess–Zumino functional is BRST closed and is not misrepresented as a gauge anomaly.This is not a loop-mixing or RGE calculation. It supplies no UV pole, anomalous dimension, finite counterterm, gamma-five trace, curved-space result, CP-odd retained-action extension, C1/C3 fit, or empirical confirmation. Its contribution is a measure-safe, source-aware classification that protects the nonzero D06 descendant family from a concrete quantum anomaly objection while preserving explicit boundaries for the future calculation.