3442 — The Scalar Hardy Jet Does Not Determine the Boundary Realization
The complete scalar Hardy–Fock jet detects every finite zero multiplicity, but it does not reconstruct the boundary operator producing that scalar.
The analytic matrices
all have determinant , hence identical scalar jets, while their inverse norms and nonnormal boundary geometry vary without bound as grows.
The Hardy–Fock lift must therefore occur before determinant compression. The remaining constructor is an operator-valued Schur or Rosenbrock jet in a declared norm or graph topology, followed by a separate uniform resolvent or least-singular-value certificate.
Research packet: research/kitaev/the-scalar-hardy-jet-detects-multiplicity-but-not-the-boundary-realization.md
Scope: no theta boundary operator jet or resolvent estimate is constructed. No build or checker was run under the operator's research-only instruction.
Durable verification: epistemic graph event ev-000000007368-cba69450-9b22-480b-ae74-65e013970aa5.