References

BF

R. Brunetti and K. Fredenhagen, “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Communications in Mathematical Physics 208 (2000), 623–661. arXiv:math-ph/9903028. doi:10.1007/s002200050004.

HW2001

S. Hollands and R. M. Wald, “Local Wick polynomials and time ordered products of quantum fields in curved spacetime,” Communications in Mathematical Physics 223 (2001), 289–326. arXiv:gr-qc/0103074. doi:10.1007/s002200100540.

HW2002

S. Hollands and R. M. Wald, “Existence of local covariant time ordered products of quantum fields in curved spacetime,” Communications in Mathematical Physics 231 (2002), 309–345. arXiv:gr-qc/0111108. doi:10.1007/s00220-002-0719-y.

BDF

R. Brunetti, M. Dütsch, and K. Fredenhagen, Perturbative Algebraic Quantum Field Theory and the Renormalization Groups. arXiv:0901.2038. Finite-renormalization and interacting-observable comparison framework.

DF

M. Dütsch and K. Fredenhagen, Action Ward Identity and the Stueckelberg–Petermann Renormalization Group. arXiv:hep-th/0501228.

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. Section 1.2: Riesz distributions on Minkowski space.

BDH

C. Brouder, N. V. Dang, and F. Hélein, “Continuity of the fundamental operations on distributions having a specified wave front set (with a counter example by Semyon Alesker),” Studia Mathematica 232 (2016), 201–226. arXiv:1409.7662.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I, second edition, Springer, 1990. Distribution structure, wavefront products, pullbacks, and pushforwards.

CheungVI

N. Cheung, Landmark VI. Manuscript VI.tex, version 1, n.d. The supplied discussion identifies the finite-certificate and linear-quotient results. The linear algebra used here is proved independently.

CheungVIIC

N. Cheung, Landmark VII-C: A mixed-Wick obstruction to a normal-topology boundary extension for sharp Cauchy harmonic insertions. Manuscript VII-C.tex, version 1, n.d. Cited only with its declared extension hypotheses.

CheungVIID

N. Cheung, Landmark VII-D: Finite part of the regulated Cauchy-reflection triangle. Manuscript VII-D.tex, version 1, n.d. Numerical finite part and regulator-conversion comparison.

CheungVIIE

N. Cheung, Landmark VII-E: Observation boundaries for destructive quantum readout and external geometry. Manuscript VII-E.tex, version 1, n.d. Includes the conditional section “A dictionary for distributional observations.” No quantum graph construction is attributed to that dictionary.

CheungVIIG

N. Cheung, Landmark VII-G: Completely positive observation boundaries for finite matter–geometry feedback. Supplied manuscript VII-G.tex, n.d. Selective-map comparison and finite operational scope.

CheungIXA

N. Cheung, Landmark IX-A. Manuscript IX-A.tex, version 1, n.d. Supplied sharp-admission nonconvergence statement thm:IX1.

CheungIXB

N. Cheung, Landmark IX-B. Manuscript IX-B-v2.tex, version 2, n.d. Numerical transfer, test-order loss, and the missing-second- multiplication statement prop:missing.

CheungXIIA

N. Cheung, Landmark XII-A: One graded polynomial carrier for the finite-ramp multiplet, with ordering-stable composites and a robust observation exclusion. Supplied manuscript XII-A-v2.tex, n.d.

CheungXIIB

N. Cheung, Landmark XII-B: Admission and one retarded response of the ramped cubic Einstein source, at fixed regulator width: handoff audit, variational consistency, and the unresolved release. Supplied manuscript XII-B.tex, n.d.

CheungXIIC

N. Cheung, Landmark XII-C: One declared cubic weighting: actual Euler source, changed Noether identity, and the coupled-jet question. Supplied manuscript XII-C.tex, n.d.

CheungXIID

N. Cheung, Landmark XII-D: Retarded response and carrier admission for the cubic-only density-weighted Einstein source. Supplied manuscript XII-D.tex, n.d.

CheungXIIE

N. Cheung, Landmark XII-E: Assembly of the second-order relational coefficient after admission of the density-weighted cubic insertion. Supplied manuscript XII-E.tex, n.d.

CheungXIIF

N. Cheung, {Landmark XII-F: The gauge-fixed remainder of ${{\Phi }_{\mathrm{D}}}^{(2)}$: companion support, the auxiliary pairing, and what is not a Ward identity}. Supplied manuscript XII-F.tex, n.d.

CheungXIVH

N. Cheung, Landmark XIV-H. Manuscript XIV-H.tex, version 1, n.d. Supplied excerpts concerning the internal kernel construction and the H2 boundary.

CheungXIVI

N. Cheung, Landmark XIV-I. Manuscript XIV-I.tex, version 1, n.d. Supplied excerpts: internal amplitude construction at I2 and the unresolved joint characteristic map at I3.

CheungXIVJ

N. Cheung, Landmark XIV-J. Manuscript XIV-J.tex, version 1, n.d. Supplied excerpts: reconstruction descent, the null presentation, the supported-sector reference, and the J2 verdict.

CheungXVF

N. Cheung, Landmark XV-F. Manuscript XV-F-v3.tex, version 3, n.d. Supplied statement on the structure and dimension of puncture-supported normal-jet ambiguities.

CheungXVIB

N. Cheung, Landmark XVI-B. Manuscript XVI-B.tex, version 1, n.d. Supplied preparation-memory lemma lem:memory.

CheungXVIJ

N. Cheung, Landmark XVI-J. Manuscript XVI-J.tex, version 1, n.d. Supplied moment-normalized extension and contact-ambiguity statements for its narrowed numerical sector.

CheungEm01A

N. Cheung, Em01-A. Manuscript Em01-A.tex, version 1, n.d. Supplied exact reconstruction-descent criterion thm:descent.

CheungEm02E

N. Cheung, Em02-E. Manuscript Em02-E-v1.tex, version 1, n.d. Supplied spatial Green-kernel response images and noncompact field-slot support discussion.