Reconstruction is not gauge admission

In the closed-range proof, $\mathfrak{R}(A,B)$ is defined for all compact data. It is not a gauge-fixing prescription on every datum. The equality

forces the Newton tails to disappear.

The canonical inverse instead explicitly permits decaying descriptors in $N\mathcal{S}$. It does not prove compactness. Neither is the retarded spacetime inverse.