Manuscript Hawk04-B@2 · Hawk04-B.tex · section · ba3b0713
Conclusions and release boundary
Conclusions and release boundary · lines 2389–2451
The proved results are:
complete unitary code preservation and the global restore map (eq:restore);
exact recovery precisely when the complete complement is constant, with decoder (eq:decoder);
reference-preserving CPTP semantics and termination for the declared finite acyclic fragment;
the record-only obstruction ;
equality of unobserved residual readout-and-drop with the pre-existing radiation marginal;
a complete readout dilation retaining the omitted information;
finite-time complete-channel approximation and separate qubit dictionaries for the regulated microscopic model;
dimension-explicit quantum-return certificates and subsequent record comparisons;
the exact four-Majorana formulas (eq:Rerror)–(eq:exactleak);
access-preserving endpoint continuity and fixed-proxy recurrence.
| Plan | Implemented result and boundary |
|---|---|
| A | Coherent preservation, local quantum decoding, and optional terminal observation have distinct typed interfaces. No live residual wire is silently deleted. |
| B | The global restore map and complete apparatus ledger are explicit. Residual readout-and-drop is external to the autonomous Hamiltonian. |
| C | The destination table includes the exact control and the energy and entropy counterexamples. A nonconstant residual is not equated with residual-only recovery. |
| D | Endpoint identifications preserve access. Fixed finite proxies recur. Syntactic termination is not physical evaporation. |
| E | No field, metric, admitted analytic quantum coefficient, finite-gate compilation theorem, or OpenAI catalogue result is imported from typing or readout. |
Complete unitary dynamics preserves the diary in the complete output. Which marginal recovers it is a separate channel question. Destructive readout is a classical-output instrument; discard is further operational forgetting. Neither operation is a theorem of physical annihilation.
The source supplies no positive noncommuting interacting recovery certificate, physical field-to-memory receiver, quantum-gravity unitarity theorem, or complete gravitational evaporation endpoint. The gravitational conclusion is exactly Corollary cor:gravity, with its hypotheses left explicit.