The compactly switched minimal scalar vertex

This proposition concerns the forced scalar term. It does not identify that term with the complete relational coefficient ${\varphi }_1-X_w{\varphi }_0$.

At the quantum level, the corresponding first external-metric retarded coefficient is represented by the same linear smearing when the two-insertion normalization is fixed accordingly. That external calculation neither constructs a local graviton product nor supplies the second-order relational composite.