Decision and final release

The theorem concerns a fixed regulator, fixed supports separated from $\Sigma =\{t=0\}$, fixed classical backgrounds, and the order ${\kappa }^2{\hslash }^0$. It supplies no statement about ${\hslash }^1$, where the mixed scalar–graviton bubble, the graviton and ghost one-loop one-point functions in the background $h_{\mathrm{cl}}$, the switched scalar loop, and the $\hslash$-corrections to the Wick ordering of $\hat{Q}[\hat{h},\hat{h}]$ and ${\mathsf{T}}_{\mathrm{self}}$ all appear at ${\kappa }^2$, and where the gauge-fixed action with a dynamical ghost is not invariant under the switched matter coupling: $sS$ acquires terms supported in $\mathrm{supp}\mathrm{d}g$, which meets $J^{-}(K_f)$. That is the boundary of the next sheet, recorded here and not opened.