Finite normal order is not finite-dimensional freedom

The support requirement is essential. An unrestricted extension could additionally contain distributions away from $S$. Also, even one coefficient $b_{\alpha }\in {\mathcal{D}}^{\prime }(S_0)$ can range over an infinite-dimensional space. A finite normal-jet array is not a finite numerical normalization matrix.

XIV-J's supported-sector reference treats only $K_6+K_8+K_9$ away from the characteristic locus, and its conditional extension interface does not construct the missing coefficient extensions or the full six-branch map CheungXIVJ ({thm:reference, thm:conditionalextension, thm:J2}). General microlocal extension theory is relevant, but its hypotheses must be checked for the actual complete target BrunettiFredenhagen.

admission boundary. The supplied analytic path is

The separate classical branch and XIII-E's unfinished regulator route are not imported. The remaining required chain is:

No step of this chain is discharged here. XV-B's downstream admission exit remains closed in this documentary sense, even though its separately stated lifting criterion is a mathematical interface CheungXVB.

“No quantum coefficient is admitted” refers to this inherited target and release boundary. It is not a claim that quantum coefficients cannot be computed in other models.