References

XA

N. Cheung, {Landmark X-A: Classical covariance of one fixed-regulator switched relational scalar through order ${\kappa }^2$}. Supplied manuscript X-A.tex. Used for the coordinate prescription, scalar completion, Cauchy facts, and plateau intertwiners.

XIA

N. Cheung, Landmark XI-A: A switched Einstein–scalar action for the ramp relational scalar: sign conventions, Noether identities, and an empty fixed-input Einstein jet. Supplied manuscript XI-A.tex. Used for the signed Einstein action, tensor-density identities, and finite curvature coefficients.

XIB

N. Cheung, Landmark XI-B: The free de Donder multiplet for the ramp Einstein–scalar sheet: causal propagators, residual gauge, and the layer dressing. Supplied manuscript XI-B.tex. Used for the causal matrix, auxiliary multiplet, normalization, and restricted free algebra.

XIC

N. Cheung, Landmark XI-C: One fixed-regulator graviton tree for the ramp relational scalar: the retarded symbol, its normalization, and the boundary of the free-algebra handoff. Supplied manuscript XI-C.tex. Used for the tree sign and held-fixed defect.

XID

N. Cheung, Landmark XI-D: Admission of the fixed-width graviton tree and one ghost-number-zero identity: the admission interface and a free-order closure obstruction. Supplied manuscript XI-D.tex. Used for the admission stop and the distinction between bare and complete-word closure.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory. arXiv:1208.1428v2, 2013. Section 5 supplies background for regular ordering equivalences and Hadamard polynomial products.

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. Used for the extended-Wick comparison and smooth-change algebra isomorphism.

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. Used for normal-topology operations on specified wavefront kernel stages.

HRV

E. Hawkins, K. Rejzner, and B. Visser, A novel class of functionals for perturbative algebraic quantum field theory. arXiv:2312.15203. Used to distinguish fixed-kernel Wick polynomials from unrestricted pointwise-microcausal smooth functional classes; in particular, Theorem 5.9 identifies Wick polynomials as equicausal.