References

CheungPhilosophy

N. Cheung, The Philosophy of Enter: Destructive Readout, Quantum Recovery, and the Refusal of Identification. Introductory essay, EntPhil, version 2, n.d. Enter Calculus Companion. https://enter.grok.me/enter. Consulted October 14, 2026. Introductory source, not a registered gravitational theorem.

CheungEnter

N. Cheung, “The Enter Calculus: A Linear Quantum Lambda Calculus with an Operational Characterization of Measurement,” Frontiers in Physics 14 (2026). DOI: https://doi.org/10.3389/fphy.2026.1954943. Publisher record consulted October 14, 2026: accepted September 28, 2026; final formatted version indicated as forthcoming.

CheungHawk04A

N. Cheung, Hawk04-A: Unitary Information Preservation and Radiation Recovery: A Complete-Complement Formulation of the Black-Hole Information Problem. Version 1, supplied unpublished manuscript, n.d. Source supplied as Hawk04-A-v1 (1).tex. Comparison record; channel and regulator arguments used here are printed locally.

CheungHawk04B

N. Cheung, Hawk04-B: Black-Hole Information as an Access Problem: Enter, Quantum Recovery, and Complete Residuals. Version 2, supplied unpublished manuscript, n.d. Source supplied as Hawk04-B-v2 (1).tex.

CheungHawk04C

N. Cheung, Hawk04-C: Finite Enter Analogues of the Hawking Narrative: Access, Complete Complements, and Destructive Readout. Version 1, supplied unpublished manuscript, n.d. Source supplied as Hawk04-C-v1.tex.

CheungHawk02A

N. Cheung, Hawk02-A. Version 1, supplied unpublished manuscript excerpts, n.d. Comparisons: thm:stability, prop:adiabatic, prop:massstability, thm:pairentropy, and the conditional physical acceptance package. No unprovided numerical estimate is imported.

CheungHawk02B

N. Cheung, Hawk02-B. Version 2, supplied unpublished manuscript excerpts, n.d. Comparisons: sequential occupied-vacuum pulse model, thm:B3, and eq:singleoptimum. The pulse model and optimal error used here are reconstructed locally.

CheungHawk01B

N. Cheung, Hawk01-B. Version 1, supplied unpublished manuscript excerpts, n.d. Comparisons: full-code recovery criterion, entropy/recovery separation, and the explicit complete endpoint transfer. The endpoint rule is not inferred from mass or entropy alone.

CheungEn07A

N. Cheung, En07-A. Version 1, supplied unpublished manuscript excerpts, n.d. Comparisons: complete restoration, destructive readout, discard, apparatus accounting, and thermodynamic underdetermination.

CheungEn07B

N. Cheung, Access-preserving endpoint certificates under destructive Enter: Exact recovery, approximate certification, and the limits of channel-only closure. En07-B, version 1, supplied unpublished manuscript excerpts, n.d. In particular, def:four and thm:endpoint.

CheungEn07C

N. Cheung, Hawking Radiation under Destructive Enter. En07-C, version 1, supplied unpublished manuscript excerpts, n.d. Comparisons: external spectrum typing, selected entropy and energy statistics, three ledgers, and same-model endpoint obligations.

CheungEn02C

N. Cheung, Resource-Limited Black-Hole Information Recovery: Radiation Access, Decoder Memory, and Operational Recovery Thresholds. En02-C, version 1, supplied unpublished comparison excerpts, n.d. Sequential reference accounting and availability-versus-execution distinctions; no model-specific optimum is transferred here.

Hawking1975

S. W. Hawking, “Particle creation by black holes,” Communications in Mathematical Physics 43 (1975), 199–220. DOI: https://doi.org/10.1007/BF02345020.

Hawking1976

S. W. Hawking, “Breakdown of predictability in gravitational collapse,” Physical Review D 14 (1976), 2460–2473. DOI: https://doi.org/10.1103/PhysRevD.14.2460.

PageEmission

D. N. Page, “Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole,” Physical Review D 13 (1976), 198–206. DOI: https://doi.org/10.1103/PhysRevD.13.198. Cited for the physical emission framework, not for a modern species-independent numerical lifetime coefficient.

PageAverage

D. N. Page, “Average entropy of a subsystem,” Physical Review Letters 71 (1993), 1291–1294. DOI: https://doi.org/10.1103/PhysRevLett.71.1291. arXiv:gr-qc/9305007.

PageInformation

D. N. Page, “Information in black hole radiation,” Physical Review Letters 71 (1993), 3743–3746. DOI: https://doi.org/10.1103/PhysRevLett.71.3743. arXiv:hep-th/9306083.

HaydenPreskill

P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” Journal of High Energy Physics 09 (2007), 120. DOI: https://doi.org/10.1088/1126-6708/2007/09/120. arXiv:0708.4025.

AlmheiriEtAl

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica wormholes and the entropy of Hawking radiation,” Journal of High Energy Physics 05 (2020), 013. DOI: https://doi.org/10.1007/JHEP05(2020)013. arXiv:1911.12333.

GaikwadEtAl

A. Gaikwad, A. Kaushal, G. Mandal, and S. R. Wadia, “A microscopic model of black hole evaporation in two dimensions,” Journal of High Energy Physics 08 (2023), 171. DOI: https://doi.org/10.1007/JHEP08(2023)171. arXiv:2210.15579.

Stinespring

W. F. Stinespring, “Positive functions on $C^{\ast }$-algebras,” Proceedings of the American Mathematical Society 6 (1955), 211–216. DOI: https://doi.org/10.1090/S0002-9939-1955-0069403-4.

KnillLaflamme

E. Knill and R. Laflamme, “Theory of quantum error-correcting codes,” Physical Review A 55 (1997), 900–911. DOI: https://doi.org/10.1103/PhysRevA.55.900. arXiv:quant-ph/9604034.

BraunsteinPati

S. L. Braunstein and A. K. Pati, “Quantum information cannot be completely hidden in correlations: Implications for the black-hole information paradox,” Physical Review Letters 98 (2007), 080502. DOI: https://doi.org/10.1103/PhysRevLett.98.080502. arXiv:gr-qc/0603046.

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. DOI: https://doi.org/10.1109/TIT.2008.917696. arXiv:quant-ph/0605009.

HorodeckiShorRuskai

M. Horodecki, P. W. Shor, and M. B. Ruskai, “Entanglement breaking channels,” Reviews in Mathematical Physics 15 (2003), 629–641. DOI: https://doi.org/10.1142/S0129055X03001709. arXiv:quant-ph/0302031.

Shirokov

M. E. Shirokov, “On the energy-constrained diamond norm and its application in quantum information theory,” Problems of Information Transmission 54 (2018), 20–33. DOI: https://doi.org/10.1134/S0032946018010027. Preprint: arXiv:1706.00361.

BruneauDerezinski

L. Bruneau and J. Dereziński, Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations. arXiv:math-ph/0511069. Cited for implementability and generator obligations, not as a collapse-channel construction.

Kato

T. Kato, Perturbation Theory for Linear Operators. Classics in Mathematics, Springer, 1995. Reprint of the second edition. DOI: https://doi.org/10.1007/978-3-642-66282-9.

HaslerHerbst

D. Hasler and I. Herbst, Ground States in the Spin Boson Model. arXiv:1003.5923. Field-operator context only; no ground-state or scattering theorem is imported into the present finite-band many-level model.

Landauer

R. Landauer, “Irreversibility and heat generation in the computing process,” IBM Journal of Research and Development 5 (1961), 183–191. DOI: https://doi.org/10.1147/rd.53.0183.

ReebWolf

D. Reeb and M. M. Wolf, “An improved Landauer principle with finite-size corrections,” New Journal of Physics 16 (2014), 103011. DOI: https://doi.org/10.1088/1367-2630/16/10/103011. arXiv:1306.4352.

LiebRuskai

E. H. Lieb and M. B. Ruskai, “Proof of the strong subadditivity of quantum-mechanical entropy,” Journal of Mathematical Physics 14 (1973), 1938–1941. DOI: https://doi.org/10.1063/1.1666274.

Audenaert

K. M. R. Audenaert, “A sharp continuity estimate for the von Neumann entropy,” Journal of Physics A: Mathematical and Theoretical 40 (2007), 8127–8136. DOI: https://doi.org/10.1088/1751-8113/40/28/S18. arXiv:quant-ph/0610146.

Mathur

S. D. Mathur, “The information paradox: A pedagogical introduction,” Classical and Quantum Gravity 26 (2009), 224001. DOI: https://doi.org/10.1088/0264-9381/26/22/224001. arXiv:0909.1038.

FuchsVanDeGraaf

C. A. Fuchs and J. van de Graaf, “Cryptographic distinguishability measures for quantum-mechanical states,” IEEE Transactions on Information Theory 45 (1999), 1216–1227. DOI: https://doi.org/10.1109/18.761271. arXiv:quant-ph/9712042.