References

XIB

N. Cheung, Landmark XI-B: The free de Donder multiplet for the ramp Einstein–scalar sheet. Predecessor manuscript XI-B.tex. Frozen multiplet and normalization input.

XIE

N. Cheung, Landmark XI-E: On-shell admission of the fixed-width tree, a localized first-order identity, and the held-fixed defect. Predecessor manuscript XI-E.tex. Identification of the finite-ramp composite kernels.

XIF

N. Cheung, Landmark XI-F: Admission of the cubic Einstein response, and the plateau sum of the second-order variations. Predecessor manuscript XI-F.tex. Cubic response and classical plateau ledger.

XIG

N. Cheung, Landmark XI-G: The free-shell class of the cubic Einstein kernel. Predecessor manuscript XI-G.tex. Observation-qualified obstruction, reduction theorem, and F1 detection witness.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory, arXiv:1208.1428. Deformation quantization, ordering equivalence, and time-slice framework.

HW

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. Extended Wick algebra and contracted-kernel wavefront bounds.

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. Normal topology; tensor-product hypocontinuity; continuous pullback and support-proper pushforward; compatible-product hypocontinuity.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I, second edition, Springer, 1990. Wavefront calculus for differential operators, products, kernel composition, and pushforward.

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. Wave Green operators, support, exactness, and Cauchy theory.