Standing refusals and conclusion

The manuscript establishes finite channel statements with declared access and output types. Its conclusions retain exactly that force.

1. No gravitational construction. No metric, causal horizon, singularity theorem, area law, gravitational Hamiltonian, backreaction equation, or Planck-scale endpoint is constructed.

2. No spectral derivation. Hawking's spectrum and temperature remain external semiclassical inputs. A thermal record is not silently promoted to a replacement channel.

3. No physical annihilation claim. Consuming a register name and tracing a factor are operational statements. A complete residual is not proved empty merely because a named core has been read and dropped.

4. No entropy-to-recovery identification. A selected entropy, a finite entropy turnover, and a referenced full-code recovery certificate are different objects. No gravitational Page curve is constructed.

5. No automatic thermodynamic cost. Channel equality does not specify a memory, bath, battery, heat flow, or reset cycle. Energy, erasure cost, and leakage remain separate ledgers.

6. No hidden admission or implementation claim. The inherited source-status label O.1 remains NOT_CLOSED; this finite matrix argument does not update it. No inherited gravitational quantum coefficient is admitted. The mathematical use of quantum amplitudes here is not admission of that separate characteristic coefficient. No physical field-to-qubit receiver, fixed-gate compilation, proof-assistant verification, or numerical execution is asserted.

7. No documentary transfer. Companion manuscripts and external catalogue families retain their own versions, models, and hypotheses. Their citation supplies neither a missing correspondence nor verification of an external family.

The corrected operational conclusion is therefore

Neither a complete isometry nor a terminal instruction list identifies the quantum computer with an evaporating black hole. The analogy is disciplined precisely when the additional physical construction remains visible as an additional obligation.