References

Em03A

N. Cheung, Em03-A: A Fixed-Background Hawking Emission Theorem, version 1, 8 October 2026. Supplied source 03-A-v1.tex. Used for the specified outgoing occupation density and packet mean, not as a microscopic evaporation channel.

Em03B

N. Cheung, Em03-B: A Certified Apparatus-Model Readout of One Hawking Packet, version 2, 8 October 2026. Supplied source 03-B-v2.tex. One-packet effective capture, coherent finite extraction, complete instruments, and reference-stable model comparisons.

Em03C

N. Cheung, Em03-C: Joint Hawking-Packet Correlations and Certified Tests of Semiclassical Departures, version 1, 8 October 2026. Supplied source 03-C.tex. Joint finite-mode Gaussian baseline, complete records, information-sensitive finite measurements, and retained local-field matching obligations.

PrivateChannel

M. Mosca, A. Tapp, and R. de Wolf, Private Quantum Channels and the Cost of Randomizing Quantum Information, arXiv:quant-ph/0003101. Pauli randomization and private quantum-channel context. The finite emission Hamiltonians in this manuscript are specified and evaluated independently.

KSW

D. Kretschmann, D. Schlingemann, and R. F. Werner, The Information-Disturbance Tradeoff and the Continuity of Stinespring's Representation, IEEE Transactions on Information Theory 54 (2008), 1708–1717. arXiv:quant-ph/0605009. doi:10.1109/TIT.2008.917696. General channel-continuity and information–disturbance context. No general theorem constant is substituted for the exact model calculations here.

BenyOreshkov

C. Bény and O. Oreshkov, General conditions for approximate quantum error correction and near-optimal recovery channels, Physical Review Letters 104 (2010), 120501. arXiv:0907.5391. doi:10.1103/PhysRevLett.104.120501. Approximate correction and environmental optimization in a worst-case entanglement-fidelity framework. The diamond and Bell-test optima used here are proved directly.

HaydenPreskill

P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, Journal of High Energy Physics 09 (2007), 120. arXiv:0708.4025. doi:10.1088/1126-6708/2007/09/120. Conditional scrambling and extensive-radiation-access comparison; not a derivation of the present emission interactions.

EntanglementBreaking

M. Horodecki, P. W. Shor, and M. B. Ruskai, General Entanglement Breaking Channels, arXiv:quant-ph/0302031. Measure-and-prepare and separability characterizations. The qubit Bell-overlap obstruction required here is proved explicitly.

Watrous

J. Watrous, The Theory of Quantum Information, Cambridge University Press, 2018. Chapters 2–3: channels, instruments, trace distances, and completely bounded trace norms.

EntropyReview

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, The entropy of Hawking radiation, Reviews of Modern Physics 93 (2021), 035002. arXiv:2006.06872. doi:10.1103/RevModPhys.93.035002. Gravitational entropy context only; not the microscopic dynamics, decoder, or finite entropy trajectory constructed here.