Hawk04, Hawk04-B-v2, 2026, pp. 1-28
Hawk04-B Black-Hole Information as an Access Problem: Enter, Quantum Recovery, and Complete Residuals
Ngo Cheung
2026
Abstract
We distinguish complete unitary preservation, subsystem quantum recovery, destructive observation, and operational discard in a reference-preserving channel formulation. A finite acyclic typed fragment represents allocation, specified unitary transformations, destructive computational readout, and classical forgetting. Quantum recovery returns a quantum register; terminal readout returns a classical record and is a different task. For a complete isometry V:C→ R⊗ B, we give an explicit global recovery channel and prove that exact recovery from R is equivalent to constancy of the complete complementary channel to B. A process retaining only classical outcomes cannot reconstruct an arbitrary d-dimensional quantum code with half-diamond error below 1-d⁻¹. Unobserved readout of B, followed by discarding its outcomes, is exactly partial trace over B and leaves the radiation channel unchanged. Its coherent dilation retains the information omitted from the classical interface. Independently, a finite-band quartic source–scalar-reservoir Hamiltonian is constructed and approximated by finite-dimensional proxies with explicit complete-channel allowances. Separate qubit dictionaries preserve the accessible–inaccessible partition. For a commuting four-Majorana control, the exact errors and complete residual leakage are ε_(rec)^(R)(t)=(3-√(1-c_(R)(t)²))/()4, ε_(rec)^(B)(t)=(1-c_(R)(t))/()2, δ_(full)(t)= max {()/()12,(1+2c_(R)(t))/()4}. Thus the complete output is reversible although neither output alone need recover the diary. Access-preserving endpoint continuity and fixed-proxy recurrence are proved separately from syntactic termination. The gravitational implication remains conditional on a same-model unitary dilation, outgoing access construction, and constant endpoint residual. No positive noncommuting recovery window, physical field-to-memory receiver, quantum-gravity unitarity theorem, or gravitational evaporation endpoint is established.
Bibliographic record
- Title
- Hawk04-B Black-Hole Information as an Access Problem: Enter, Quantum Recovery, and Complete Residuals
- Author
- Cheung, Ngo
- Publication date
- 2026
- Institution
- Hawk04
- Report number
- Hawk04-B-v2
- Publisher
- Cheung Ngo Medical Limited
- First page
- 1
- Last page
- 28
- Language
- en