Declarations

and data availability. The analytical specifications and proofs are contained in this source. No numerical scattering calculation, executed tolerance schedule, compiled archive, formal proof certificate, calibration record, or apparatus demonstration is supplied or asserted.

. Controlled qubit–field displacements, nonperturbative scalar-field communication, Gaussian restrictions, and general channel recovery/complementarity methods are established constructions. The manuscript claims the particular compact Schwarzschild realization and its printed model-specific channel and error calculations, not novelty for those underlying principles.

status. The supplied Em03-A–F sources are used only through the identified interfaces. The source, packet-channel, recovery, and stability calculations required for this release are printed here. Unrelated manuscript registry and documentary accounts are not mathematical premises.