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Manuscript Hawk02-A@1 · Hawk02-A.tex · section · 7fbae745

The question actually addressed

Question, provenance, and mathematical release › The question actually addressed · lines 102–131

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The microscopic question is whether a stated quantum-gravitational model produces:

  1. a time-dependent geometry and a controlled approximation to it;

  2. the quantum emission process, including its state and renormalized stress-energy;

  3. an input-dependent channel carrying an infalling code into accessible radiation, with every inaccessible output accounted for.

A computation of outgoing occupation numbers on a prescribed Schwarzschild exterior does not supply this triple.

Hawk01-A and Em03-A provide fixed-background source records. Hawk01-A additionally provides finite phenomenological completions whose radiation diagnostics agree while their assisted retrieval properties differ CheungHawk01A ({thm:source, thm:completion}) CheungEm03A ({thm:main}). These records motivate the interfaces below; they are not substituted for a backreacting microscopic calculation.

. The results proved here are finite-dimensional certification and nonidentifiability statements, together with a conditional mass-ledger estimate and an explicit pair-entropy bound. They are complete within their stated hypotheses. The physical construction needed to instantiate those hypotheses is not supplied.