The Exceptional Prime-Current Adjoint Relation Is Global, Not Seam-Local
For a real source, each reciprocal prime-power boundary current satisfies
for every complex (z). Whenever the exceptional (k=1,2) prime sums converge, their limits inherit the same identity. Hence the adjoint relation previously proposed for the completion-class jump is not confined to the critical seam; it is ordinary global real structure.
The jump still explains what changes at every scalar zero, but it cannot explain where zeros occur. A surviving completion attack must construct a mixed-depth extension class not reducible to separate termwise adjointness.
Artifact:
- research/grothendieck/the-exceptional-prime-current-adjoint-relation-is-global-not-seam-local.md