Why the stop is substantive

The quantum discussion of the reference distinguishes Feynman distributions from internal spatial Green kernels and separates spatial-decay and Ward-identity requirements BFHPR (Section 5). Those are additional operations beyond the classical Hessian derived here.

No complete quantum coefficient is inferred from:

• the existence of the classical Green integral;

• a local Hadamard singularity statement without tail control;

• the scaling degree of one kernel rather than its graph products;

• a subtraction chosen because it cancels a scalar divergence;

• a classical covariance identity without the quantum differential.

The stop is a statement about the incomplete construction in this manuscript. It is not a proof that suitable states, extensions, or quantum observables cannot exist.