Manuscript Hawk04-C@1 · Hawk04-C-v1.tex · section · 94d46352
The six-row operational certificate
The six-row operational certificate · lines 1546–1607
Hawk04-C@1#tab:analogies
{}1.12
| analogies and their identification limits. The first column names a narrative motif, not a theorem assumption. | ||
|---|---|---|
| Narrative motif | Precise finite object | What is not established |
| Narrative motif | Precise finite object | What is not established |
| Classical collapse | A supplied finite preparation followed by a complete isometry. Full relocation into requires a replacement accessible channel or a separately exhibited relocation map. | An event horizon, singularity, area theorem, or geometric no-return surface inferred from energy. |
| Event horizon | The declared access split , with all unreturned systems included in . | A metric-defined null surface, a causal boundary of spacetime, or gravitational area monotonicity. |
| Hawking radiation | A declared outgoing quantum factor; after destructive Enter, a classical record and any explicitly retained quantum factors. | A derivation of the Hawking temperature or spectrum, or an identification of thermal observations with a complete channel. |
| Radiation, mass loss, and shrinkage | A finite schedule of transfer isometries and readouts, with separate storage, energy, erasure, and leakage accounting. | A black-hole Hamiltonian, continuous mass loss, backreaction, or an internally constructed evaporation law. |
| Final burst; no remnant | An additionally authorized readout of a finite residual, followed by discard of its record. The named residual output is consumed. | Physical annihilation, an empty complete physical complement, an energetic burst, or an endpoint proved by termination. |
| Thermality and information loss | A record-only obstruction and the full-code constant-complement recovery criterion. Input dependence can remain in the complete output. | A Page curve, destruction under the complete isometry, or residual-only recovery merely from nonconstancy of the residual. |