Declarations

scope. The new term “operational wormhole certificate” denotes a reference-preserving recovery contract. The exact correction criterion, information–disturbance theorem, teleportation mechanism, and diamond-norm optimization are established quantum-information theory. No priority claim is made for those results.

contribution. The manuscript assembles one complete finite model, proves its displayed Haar moment and probability constants, gives one fixed decoder policy over a nontrivial retained window, and proves coexistence of that certificate with a strict three-cut entropy peak. The false intermediate leakage/recovery peak and the overextended classical-record obstruction are explicitly removed.

provenance. Cheung's philosophy essay and journal article are cited separately from internal manuscript records supplied in the request. Hawk06-A is a supplied predecessor; its attribution follows the request's source record and is not an independent publication verification. Internal identifiers do not establish publication, acceptance, or proof checking.

scope. No gravitational wormhole, spacetime emergence, exotic matter, null-energy violation, new horizon, thermal machine, or gravitational signal crossing is constructed. Entanglement is a declared resource, not a metric.

scope. The ideal receiver has a finite-dimensional prescription and priced batch realization under stated controls. No efficient optimization, finite-alphabet exact Haar compilation, laboratory calibration, or experiment has been executed.

. This is standalone source intended for pdflatex. No successful compilation, proof-assistant verification, numerical execution, independent referee approval, or journal acceptance of Hawk07-A is asserted.