Manuscript En07-A@1 · En07-A.tex · abstract · 44229ce9
Abstract
Front matter · lines 94–129
This paper is a framing and separation note, not a new quantum recovery theorem. It places reversible recycling, operational forgetting, Landauer erasure, and holographic terminology within the reference-preserving access formulation of Hawk04-B.
For a complete isometry , we locally restate and prove complete-access restoration and the equivalence between exact recovery from and constancy of the complete complementary channel to . Destructive computational-basis readout returns a classical record, not an arbitrary unknown quantum code. Readout followed by classical discard is exactly partial trace, including external references. Its coherent dilation remains isometric, but this mathematical dilation is not a thermodynamic implementation certificate.
Three ledgers remain distinct: conservation of a declared complete Hamiltonian, the heat and work of a specified erasure implementation, and information-theoretic residual leakage. Channel equality alone does not determine implementation cost. If radiation is within half-diamond distance of a replacement channel, its optimal deterministic recovery error is at least . An exact flagged-transfer example and a two-state control make the information destination explicit without assigning a temperature.
No new Landauer bound, thermodynamic advantage, area law,
bulk–boundary dictionary, Page curve, physical receiver, or
gravitational evaporation endpoint is constructed. Companion
manuscripts and supplied catalogue descriptions are documentary
comparisons, not premises of the local channel proofs. No inherited
interacting gravitational quantum coefficient is admitted;
XV-B's admission-dependent exit is not opened, XVI-N's separate
obligations are not discharged, and O.1 remains
NOT_CLOSED.