References

Friedrichs

K. O. Friedrichs, “On the perturbation of continuous spectra,” Communications on Pure and Applied Mathematics 1, 361–406 (1948). doi:10.1002/cpa.3160010404.

FacchiLigaboLonigro

P. Facchi, M. Ligabò, and D. Lonigro, “Spectral properties of the singular Friedrichs–Lee Hamiltonian,” Journal of Mathematical Physics 62, 032102 (2021). arXiv:1910.05957. doi:10.1063/5.0013032.

Lonigro

D. Lonigro, “The self-energy of Friedrichs–Lee models and its application to bound states and resonances,” European Physical Journal Plus 137, 492 (2022). arXiv:2109.02939. doi:10.1140/epjp/s13360-022-02690-y.

Kato

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

Watrous

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

Erasure

C. H. Bennett, D. P. DiVincenzo, and J. A. Smolin, “Capacities of quantum erasure channels,” Physical Review Letters 78, 3217–3220 (1997). arXiv:quant-ph/9701015.

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, 1708–1717 (2008). arXiv:quant-ph/0605009.

BenyOreshkov

C. Bény and O. Oreshkov, “General conditions for approximate quantum error correction and near-optimal recovery channels,” Physical Review Letters 104, 120501 (2010). arXiv:0907.5391.

AttalPautrat

S. Attal and Y. Pautrat, “From repeated to continuous quantum interactions,” Annales Henri Poincaré 7, 59–104 (2006). arXiv:math-ph/0311002.

DerezinskiDeRoeck

J. Dereziński and W. De Roeck, “Extended weak coupling limit for Friedrichs Hamiltonians,” Journal of Mathematical Physics 48, 012103 (2007). arXiv:math-ph/0604058. doi:10.1063/1.2405402.

DLMF

NIST, Digital Library of Mathematical Functions, Chapter 10, “Bessel Functions,” Sections 10.2, 10.6, and 10.9. Standard series, recurrence, and integral conventions.

Mathur

S. D. Mathur, “The information paradox: A pedagogical introduction,” Classical and Quantum Gravity 26, 224001 (2009). arXiv:0909.1038.

ExecutionManifest

Hawk02-C finite-proxy diagnostics manifest, supplied file hawk02c_diagnostics_manifest.json, October 10, 2026. Timestamp: 2026-10-10T17:12:51.677880+00:00. Contains 18 reported passing predicates. Reported executed-source SHA256: dd7d1d9a58f196dfc5af30ad24228a42
ff707ce77f7a0d5b705de84c2b866ee5. The hash lines concatenate without a separator. No independent hash verification is claimed.

ExecutionSummary

Hawk02-C Finite-Proxy Diagnostics—Complete Detailed Results, supplied execution summary, filename summary (21).txt, October 10, 2026. Its “17 checks” wording is corrected by counting the 18 predicates in the supplied manifest. Reported arrays and local artifact locators were not independently inspected for this revision.

CheungHawk02A

N. Cheung, Hawk02-A, version 1, manuscript, n.d. Supplied physical-acceptance, complete-output, stability, spectrum, and recovery-interface records.

CheungHawk02B

N. Cheung, Hawk02-B: Hamiltonian-Derived Emission and Quantitative Recovery in a Finite Evaporation Model, version 2, manuscript, October 10, 2026. Supplied full text and diagnostic-record revision. Its execution record is distinct from Hawk02-C's.

CheungHawk01B

N. Cheung, Hawk01-B, version 1, manuscript, n.d. Supplied thm:optima, recovery and residual comparison.

CheungHawk01A

N. Cheung, Hawk01-A, version 1, manuscript, n.d. Supplied thm:completion, conserving completions with identical late-radiation diagnostics.

CheungEm03F

N. Cheung, Em03-F, version 1, manuscript, n.d. Supplied thm:unitary, thm:fieldchannel, and thm:packetbridge. A switched exterior source–field model, not this autonomous Hamiltonian.

CheungEn02E

N. Cheung, En02-E, version 2, manuscript, n.d. Supplied thm:cutoff, commuting Gaussian-state flagged cutoff.

CheungEm06B

N. Cheung, Em06-B, version 1, manuscript, n.d. Supplied thm:input-stability. Its classical seminorm allowance is not imported as a channel or Volterra estimate.

CheungVIIG

N. Cheung, VII-G, version 1, manuscript, n.d. Supplied thm:stability, finite-execution comparison.

CheungEn03A

N. Cheung, En03-A, version 1, manuscript, n.d. Supplied thm:obstruction, record/residual separation.

CheungPsy02B

N. Cheung, Psy02-B, version 2, manuscript, n.d. Supplied thm:process, complete-process equality and testing.

CheungEm03A

N. Cheung, Em03-A, version 1, manuscript, n.d. Supplied thm:main and prop:underdetermination, fixed-background emission and source-law distinctions.

CheungEm03C

N. Cheung, Em03-C, version 1, manuscript, n.d. Supplied exterior finite-mode and joint operational-interface records, including source-repair and nonidentification cautions.

CheungEn02B

N. Cheung, En02-B, version 1, manuscript, n.d. Supplied thm:B1, resource-certified decoder soundness.

CheungEn02C

N. Cheung, En02-C, version 1, manuscript, n.d. Supplied thm:C1, reference-preserving sequential soundness.

CheungXIVI

N. Cheung, XIV-I, version 1, manuscript, n.d. Supplied thm:I2, thm:I3, and release records. Its full joint characteristic map is not a premise here.

CheungXIVJ

N. Cheung, XIV-J, version 1, manuscript, n.d. Supplied thm:J2, thm:release, and cor:noadmission. The full joint characteristic map remains unresolved.

CheungXVB

N. Cheung, XV-B, version 1, manuscript, n.d. Supplied relative-lifting and admission-interface records. Its downstream admission exit is not opened.

CheungXVIN

N. Cheung, XVI-N, version r12, manuscript, n.d. Supplied thm:massless-obstruction. Its separate hypotheses and conclusion are unchanged.

CheungXVIO

N. Cheung, XVI-O, version o70-sync, manuscript, n.d. Supplied kernel-subsector and bulk-verdict distinctions. Bulk O.1 remains NOT_CLOSED; no inherited quantum coefficient is admitted.