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 named scalar model, incoming Unruh prescription, stationary scattering conventions, and packet occupation law. Its separate compact-test peeling theorem is not a collapse packet premise of this manuscript.

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-mode Gaussian and bounded-observable context. The effective capture and register apparatus is not imported as a local-field realization.

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 wave scattering and its horizon/infinity channels.

DeiftTrubowitz

P. Deift and E. Trubowitz, Inverse scattering on the line, Communications on Pure and Applied Mathematics 32 (1979), 121–251. doi:10.1002/cpa.3160320202. One-dimensional short-range Jost and spectral-scattering framework used for the stated radial transform.

BaskinWang

D. Baskin and F. Wang, Radiation fields on Schwarzschild spacetime, Communications in Mathematical Physics 331 (2014), 477–506. arXiv:1305.5273. Geometric radiation-field regularity, the two radiation ends, and energy normalization. Its energy theorem is not substituted for the weighted quantum covariance estimate proved here.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2007. arXiv:0806.1036. Normally hyperbolic Cauchy problems, Green operators, causal support, and scalar quantization.

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. General induced-observable framework and the compact bilinear scalar coupling; in particular the advanced scattering-test transformation in the linear model.

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. Compact local measurement constructions and the Weyl-algebra scattering and induced-observable formulas. Its local asymptotic theorem is not used as an unproved outgoing-packet approximation.

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. Bulk Unruh-state construction and Hadamard property. The global microlocal proof remains an external input.