Calculation record

Exact checks for a nonzero same-field support background.

The calculation checks the algebraic Schur criterion, the angular
scaling of the inverse-support channel, and the two scalar sectors
(degree zero and degree one) left outside that inverse. It is an
inverse construction, not a derivation of the background from
Psi_infinity.

Research context

Interpret numerical checks within the assumptions and limitations documented in these notes.