Manuscript Hawk01-A@1 · Hawk01-A.tex · section · 11979653
Source interfaces and non-transfer boundaries
Source interfaces and non-transfer boundaries · lines 2307–2389
Hawk01-A@1#tab:sourceledger, Hawk01-A@1#eq:descentappendix
Table tab:sourceledger records the source roles used in this paper. A manuscript identifier is not a declaration that its theorem applies to a different Hilbert space, field, geometry, code, or instrument.
source interfaces and their restricted use here.
| Source record | Role and boundary |
|---|---|
| Em03-A | Fixed-background scalar emission and packet normalization. Not an evaporating metric or recovery channel. |
| Em03-B/C | Complete destructive records, loss, and joint apparatus bookkeeping. Not coherent receiver construction. |
| Em03-D/F/G | Exterior probes and effective exterior-source channels. Not interior information escape or a gravitational backreaction law. |
| Em03-E | Separation of key availability and logical transfer. A finite benchmark, not Hawking dynamics. |
| Psy04-A/B; VII-J | Delayed query, complete access cut, and scheduled ancestry. Not a physical causal-cone or memory-resource theorem. |
| En02-B–E | Observable access, recovery, executable resource limits, and finite-packet regulation. Not a derivation of black-hole evaporation. |
| Em05-A/B | Extraction versus coherence and exact constant-complement recovery. Spectrum agreement is not that criterion. |
| Em06-B; En03-A | Input stability, record compatibility, and sampling interfaces. Their norms must be connected to this paper's states or channels before an error is imported. |
| Psy02-B; Psy03-D | Complete-process testing and observation-boundary distinctions. Their separate task-specific numerical bounds are not astrophysical nulls. |
The supplied excerpts of XIV-H/I/J describe a different analytic programme. In particular, XIV-I constructs an internal amplitude interface while leaving its full joint characteristic map unresolved; XIV-J supplies a supported-sector reference on a restricted domain and does not admit the required full quantum coefficient CheungXIVH,CheungXIVI,CheungXIVJ. Nothing in the finite-channel proofs of Hawk01-A constructs that missing distributional operation.
For clarity, the elementary reconstruction-descent criterion is:
Indeed, equal reconstructions differ by an element of , so this condition is necessary and sufficient for their images to agree. It defines a map on a quotient only after the candidate map exists. It does not construct a characteristic product.
Likewise shows that polynomial degree in a presentation need not be intrinsic to the reconstructed distribution. This identity does not select an extension across an unresolved characteristic locus. The relative-lifting interface reported in XV-B remains a separate conditional linear problem CheungXVB.
Displayed formulas in this passage
Hawk01-A@1#eq:descentappendix · line 2370