What is still missing

No Bogoliubov or retarded interacting coefficient is assembled from the family (eq:coefficient). No extension is selected by a covariance, field-equation, unitarity, Ward, or renormalization condition. No scale derivative is assigned to an unchosen normalized extension.

The boundary-value notation defining $d$ is not a temporary ultraviolet regularization of the graph. The extension problem is treated directly in distribution space.

No global adiabatic limit, sharp preparation-width limit, ultraviolet completion, or all-orders finite-parameter renormalizability theorem is part of this manuscript.