Standing constraints and conclusion

The completed plan yields local channel theorems, explicit calibration models, controlled finite-time proxy comparisons, and conditional mass and endpoint implications. Its conclusions retain the following limits.

1. No metric, event horizon, area theorem, stress-energy solution, backreaction geometry, or gravitational field-to-memory receiver is constructed.

2. Hawking temperature and greybody matching are external physical data. A selected Gibbs marginal is not a complete logical channel.

3. The cubic formula is a time-to-cutoff consequence of an imposed or independently derived inverse-square luminosity. It is not a Planck-scale endpoint theorem.

4. No universal Page-time transition is obtained. Whole-code recovery, small-diary recovery, entropy turnover, and reference decoupling have different hypotheses.

5. Readout-and-drop is operational forgetting, not annihilation. Complete apparatus and discarded-record outputs remain accounted for.

6. An information-free residual need not be physically absent. Absence of detectable objects requires a specified empirical exclusion model.

7. A mathematical decoder and an abstract qubit dictionary are not an efficient implementation, a finite-gate compilation certificate, or a coherent physical receiver.

8. The finite-band regulator is not transferred to another Hamiltonian or to cutoff removal by analogy. Fixed finite autonomous proxies recur.

9. No catalogue attributed to OpenAI is used as a premise. The separate documentary statuses and analytic-admission programmes mentioned by the companion manuscripts are not updated by this paper.

The mathematical extrapolation is therefore:

None of these arrows supplies the missing premise of another.

The Enter philosophy is useful precisely because it keeps the additional obligations visible. The resulting programme can generate quantitative conditional predictions and calibrated analogue tests. A claim about actual black-hole evaporation requires a same-model physical construction, not a renaming of the finite outputs.