Manuscript XXII-D@1 · XXII-D.tex · section · 17889d18

Precise claim and logical status

Precise claim and logical status · lines 135–194

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XXII-A specifies a nonempty operational Lorentz-cone selection target and a faithful generated affine representation CheungXXIIA (target:selection, def:representation). XXII-B separates the candidate data, additional hypotheses, and failure tests CheungXXIIB. XXII-C fixes a tripartite qubit process-matrix family, its one-use instrument access, and its component-order extraction CheungXXIIC.

The present note does not assert either implication

or

Both would omit substantive hypotheses.

En08-B constructs finite transport protocols for a prescribed geometric boundary and speed CheungEn08B (thm:main, cor:operational-limit). Its result is an approximation theorem on its stated model. It is not a derivation of those prescribed inputs.

The narrower objective considered here is:

After a successful extraction and a separately justified compatible transport realization, construct finite protocols approximating a declared nonempty family of future-null targets, with reference-stable channel error, endpoint and arrival control, and a model-specific resource ledger.

This is a research objective, not an existence theorem of XXII-D.

is proved. The proofs below establish scoped obstructions and conditional certificates on explicitly stated mathematical interfaces. They do not construct the missing realization. The approximation layer is therefore not absent only because extraction remains open: even a successful extraction would leave the transport and calibration obligations to be discharged.

discipline. Cheung's manuscripts are identified by supplied filename, version where available, and internal label. Documentary comparisons are not proof-transfer premises. Published literature supplies the process-matrix, quantum-channel, and quantum-network frameworks OCB,Watrous,CDP. No predecessor proof, empirical implementation, or numerical artifact is represented as independently verified here.

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