Manuscript Hawk05-C@1 · Hawk05-C.tex · section · ba0719f1
A disciplined extrapolation programme
A disciplined extrapolation programme · lines 1947–2007
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| Possibility | What must additionally be supplied |
|---|---|
| Clocked fixed-capacity proxy | Integer compatible dimensions, one nested history, and (eq:sumconstraint); a power law alone is insufficient. |
| Greybody-weighted capacities | An explicit occupation-to-capacity rule, cutoff and tail, and a typicality hypothesis for that rule. |
| Two return-type curves | One complete process with two declared receiver/readout continuations; publish both entropy definitions. |
| Restricted exterior access | A genuine observable algebra or factor, its state restriction, and an entropy convention; no emergence follows from restriction. |
| Positive-mass wall | The validity interval and the crossover-before-cutoff test; do not attach an unproved zero-entropy endpoint. |
| Petz or island decoder comparison | A deterministic task channel, correct supports, complete comparison allowance, and executable implementation budget. |
| Conserved-sector scrambling | The actual sector decomposition and its ensemble weights; use (eq:sectorpage), not an unrestricted tensor formula. |
| Three-ledger report | Energy, reset resources, entropy, and recovery estimates must retain their different hypotheses and units. |
| Gravitational conclusion | One microscopic preparation, dynamics, access dictionary, receiver, typicality theorem, and endpoint comparison. |
The following are specifically not imported:
a static area-law or catalogue record as a temporal channel history CheungOai265A;
a prepared entropy sequence as Hawking emission CheungEn02D;
an island or replica-wormhole reference as a complete evaporation isometry IslandReview;
an autonomous finite source-field Hamiltonian as a gravitational collapse Hamiltonian CheungHawk02C;
any soft, lost, purifier, or other admitted output factor removed from complete accounting merely by a final mass label.
If an actual theory includes such factors, the complete interface must account for them or prove why they are irrelevant to the declared finite code. This paper does not assume their existence, absence, or specific dynamics.