References

Em03A

N. Cheung, Em03-A: A Fixed-Background Hawking Emission Theorem, version 1, 8 October 2026. Supplied source 03-A-v1.tex. Stationary scalar prescription and outgoing occupation law; not microscopic evaporation dynamics.

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. Effective capture and complete-record context; not a local coherent receiver premise.

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. Finite Gaussian restrictions, phase-sensitive tests, and reference-stable model comparisons.

Em03D

N. Cheung, Em03-D: A Local System–Probe Realization of a Hawking-Packet Observable, version 1, 8 October 2026. Supplied source 03-D-v1.tex. Filtered compact packet approximation and quantitative full-shell local-observable construction.

Em03E

N. Cheung, Em03-E: Microscopic Input Dependence and Certified Recovery in a Dynamical Radiation Model, version 1, 8 October 2026. Supplied source 03-E.tex. Separate finite information-bearing payload model.

Em03F

N. Cheung, Em03-F: Source-Dependent Information in Physical Scalar Radiation, version 1, 8 October 2026. Supplied source 03-F.tex. Single-observable exterior source, scalar packet identification, and the entanglement-breaking benchmark.

Tjoa

E. Tjoa, Non-perturbative simple-generated interactions with a quantum field for arbitrary Gaussian states, Physical Review D 108 (2023), 045003. arXiv:2207.01141. doi:10.1103/PhysRevD.108.045003.

Simidzija

P. Simidzija, A. Ahmadzadegan, A. Kempf, and E. Martín-Martínez, Transmission of quantum information through quantum fields, Physical Review D 101 (2020), 036014. arXiv:1908.07523. doi:10.1103/PhysRevD.101.036014. Nonperturbative scalar-field transmission precedent; not the compact Schwarzschild packet certificate proved here.

KasprzakTjoa

M. Kasprzak and E. Tjoa, Transmission of quantum information through quantum fields in curved spacetimes, Journal of Physics A: Mathematical and Theoretical 58 (2025), 095301. arXiv:2408.00518. doi:10.1088/1751-8121/adb66b. Curved-spacetime scalar-field communication precedent. Its receiver construction is not imported as the local receiver of this manuscript.

DMP

C. Dappiaggi, V. Moretti, and N. Pinamonti, Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime, Advances in Theoretical and Mathematical Physics 15 (2011), 355–447. arXiv:0907.1034. Declared bulk state-construction and Hadamard input.

Dimock

J. Dimock, Scattering for the wave equation on the Schwarzschild metric, General Relativity and Gravitation 17 (1985), 353–369. doi:10.1007/BF00759679. Complete classical Schwarzschild wave-scattering input.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, European Mathematical Society, 2007. arXiv:0806.1036. Normally hyperbolic Cauchy theory and Green operators.

EntanglementBreaking

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

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. Worst-case entanglement-fidelity recovery context; its constants are not substituted for the direct qubit distance bounds proved here.

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 complementarity context.

FewsterVerch

C. J. Fewster and R. Verch, Quantum fields and local measurements, Communications in Mathematical Physics 378 (2020), 851–899. arXiv:1810.06512. doi:10.1007/s00220-020-03800-6. Local system–probe scattering and induced observables.

FewsterJubbRuep

C. J. Fewster, I. Jubb, and M. H. Ruep, Asymptotic measurement schemes for every observable of a quantum field theory, Annales Henri Poincaré 24 (2023), 1137–1184. arXiv:2203.09529. doi:10.1007/s00023-022-01239-0. Local-observable measurement context; not coherent packet-to-memory channel equivalence.

HorizonEFT

W. D. Goldberger and I. Z. Rothstein, An Effective Field Theory of Quantum Mechanical Black Hole Horizons, Journal of High Energy Physics 04 (2020), 056. arXiv:1912.13435. Response-matching context only; not a derivation of the effective exterior qubit source.