Manuscript XI-C@1 · XI-C.tex · section · acec1422

VII-C requirements remain unmet

The mixed loop and the comparison checklist › VII-C requirements remain unmet · lines 1215–1253

The comparison concerns the supplied VII-C, not an identification of kernels or signatures VIIC.

	VII-C requirement	XI-C status
E1	Its polynomial Wick algebra embeds into a Hausdorff locally convex extension with its fixed Wick product unchanged.	Unmet. No such extension or Hadamard product is selected.
E2	The exact sharp insertions are admitted on all smooth off-shell configurations.	Unmet. Only fixed-width classical symbols are constructed.
E3	Admission agrees with regular inclusion and is sequentially continuous in its stated normal-topology kernel stages.	Unmet. No quantum admission map or such stage is supplied.
E4	Multiplication is hypocontinuous on bounded sets and the field-independent $ℏ^{3}$ coefficient extraction is continuous.	Unmet. No corresponding quantum extension is constructed.

The word $B_{f} ⋆ W_{g} ⋆ B_{f^{'}}$ is not formed. No reflected light-ray residue is subtracted. X-D's sharp-limit theorem is not used. Neither the present kernel bounds nor the absence of a chosen state establish VII-C's four assumptions.