Corrections fixed before the calculation

fixed before the calculation{ The response constructed here is the unique retarded solution of a prescribed source equation. “Variational Møller map” is not used as a synonym.

The two Lie derivatives in the commutator have different tensor types.

The kernel before onset multiplication need not have compact support in its source argument. Compactness is proved after multiplication by $g$, $\sigma$, or compact generator coefficients.

Only contractions leaving the scalar slot necessarily lie in ${\mathcal{D}}_C$. A contraction leaving a graviton slot can have support in the larger causal reserve.

Each tree is a coefficient. The observable multiplies their sum by ${\kappa }^2$ exactly once.}