Both linear Ward identities and the nonlocal invariant

On positive-energy momenta, the norm in Proposition prop:detector can equivalently be read from

This relation identifies spectral detection; it does not construct an instrument.

The contact-independent discontinuity is a scheme-stable feature of this benchmark, not a renormalization-group residue, physical beta function, or the graph-specific curvature-span statement in XVI-M. VI's RG-open quantum certificate and XVI-M's separate scale-matching boundary remain documentary comparisons CheungVI,CheungXVIM.