References

Hawking1975

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

Hawking1976

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

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: 10.1103/PhysRevLett.98.080502. arXiv:gr-qc/0603046.

KnillLaflamme

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

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: 10.1109/TIT.2008.917696. arXiv:quant-ph/0605009.

Watrous

J. Watrous, The Theory of Quantum Information, Cambridge University Press, 2018.

HorodeckiShorRuskai

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

Selinger

P. Selinger, “Towards a quantum programming language,” Mathematical Structures in Computer Science 14 (2004), 527–586. doi: 10.1017/S0960129504004256.

Kato

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

HaslerHerbst

D. Hasler and I. Herbst, “Ground states in the spin boson model,” arXiv:1003.5923. Cited for standard field-operator context only; no ground-state, scattering, or evaporation theorem is imported into the present model.

KourkoulouMaldacena

I. Kourkoulou and J. Maldacena, “Pure states in the SYK model and nearly-${\mathrm{AdS}}_2$ gravity,” arXiv:1707.02325.

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: 10.1007/JHEP08(2023)171. arXiv:2210.15579.

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 Hawk04-A-v1.tex, n.d. Predecessor source record: global restore, exact correction, residual-only no-hiding, four-Majorana control, endpoint continuity, and recurrence. The relevant channel statements are proved locally.

CheungI

N. Cheung, Landmark I, version 2. Supplied unpublished manuscript excerpts, n.d.; source identifier I_v2.tex in the revision record. In particular, thm:main, “Characterization.” Cited for its declared strategy-class Born law and positive-branch destructive residual update, not as a field-preparation or analytic-admission theorem.

CheungEn03A

N. Cheung, En03-A, version 1. Supplied unpublished manuscript excerpts, n.d. Minimal linear circuit interface and documentary source ledger. The finite fragment in this paper is defined independently.

CheungHawk02D

N. Cheung, Hawk02-D: Autonomous Fermionic Information Release: Complete-Residual Bounds, Scattering Endpoints, and the Limits of an Evaporation Interpretation, version 1. Supplied unpublished manuscript Hawk02-D-v1.tex, n.d. Quadratic fermionic comparison and its own scattering endpoint; not a premise for quartic scalar asymptotics.

CheungHawk02E

N. Cheung, Hawk02-E: Coherent Diaries and Complete-Residual Certification in a Regulated Interacting SYK–Scalar Model, version 1. Supplied unpublished manuscript Hawk02-E-v1.tex, n.d. Architecture, regulator interface, energy-versus-information separation, and fixed-proxy recurrence. The present Hamiltonian and regulator arguments are supplied locally.

CheungEn02B

N. Cheung, En02-B, version 1. Supplied unpublished manuscript excerpts En02-B-v1.tex, n.d. Quantum-return decoder programs, syndrome consumption, declared-module resource bounds, and compatible channel allowances. No resource optimum is transferred to the present decoder.

CheungEn02C

N. Cheung, En02-C, version 1. Supplied unpublished manuscript excerpts En02-C-v1.tex, n.d. Reference-preserving sequential accounting and the distinction between information availability, decoder existence, and execution.

CheungEn02E

N. Cheung, En02-E, version 2. Supplied unpublished manuscript excerpts En02-E-v2.tex, n.d. Finite Gaussian packet states and flagged-cutoff comparisons. Commuting-state cutoff hypotheses are retained.

CheungEm03C

N. Cheung, Em03-C, version 1. Supplied unpublished manuscript excerpts Em03-C-v1.tex, n.d. Joint apparatus interfaces, coherent comparisons, measurement records, and receiver-access boundaries. No local gravitational detector or microscopic diary channel is imported.

CheungXIVH

N. Cheung, Landmark XIV-H: Internal kernel relations on the operator route, version 1. Supplied unpublished manuscript excerpts XIV-H.tex, n.d. In particular, thm:H2 and thm:release. Documentary analytic separation only.

CheungXIVI

N. Cheung, Landmark XIV-I, version 1. Supplied unpublished manuscript excerpts XIV-I.tex, n.d. In particular, thm:I2, thm:I3, and thm:release. Constructed internal amplitude module and unresolved full joint characteristic map; documentary separation only.

CheungXIVJ

N. Cheung, Landmark XIV-J, version 1. Supplied unpublished manuscript excerpts XIV-J.tex, n.d. In particular, prop:descent, lem:null, thm:reference, thm:conditionalextension, thm:J2, and cor:noadmission. Supported-sector reference is not a full characteristic-map or admission result.

CheungXVB

N. Cheung, Landmark XV-B, version 1. Supplied unpublished manuscript excerpts XV-B.tex, n.d. Abstract descent, relative-lifting, contact, and extension interfaces; thm:release does not admit the inherited quantum coefficient.

CheungXVIN

N. Cheung, Landmark XVI-N, version r12. Supplied unpublished manuscript excerpts XVI-N.tex, n.d. In particular, thm:massless-obstruction. Conditional specified-instance obstruction, not a universal analytic or gravitational completion.

SuppliedCatalogue

OpenAI, as attributed in the supplied record, Enter Calculus Companion: OpenAI family catalogue excerpts. Supplied documentary record, including the Family 279 entry labelled rem:oai-279 and dated 7 October 2026, together with supplied descriptions of Families 227, 274, 276, and 119. Attribution, full proofs, and publication status are not independently verified here. No family is used as a theorem premise.