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 finite propagation, the Cauchy lemma, and transposition.

XIA

N. Cheung, Landmark XI-A: A switched Einstein–scalar action for the ramp relational scalar. Supplied manuscript XI-A.tex. Used for the signed action, the gauge-fixed versus Einstein distinction, and the empty fixed-input jet.

XIB

N. Cheung, Landmark XI-B: The free de Donder multiplet for the ramp Einstein–scalar sheet. Supplied manuscript XI-B.tex. Used for the normalization $-\mathcal{P}{{\mathsf{E}}_0}^{\mathrm{R}}$, the causal kernels ${\delta }_{\mu }$, and the free shell.

XIE

N. Cheung, Landmark XI-E: On-shell admission of the fixed-width tree, a localized first-order identity, and the held-fixed defect. Supplied manuscript XI-E.tex. Used for the polynomial microcausal domain, the admission map, the on-shell quotient, and the finite cubic coefficient ${\mathcal{H}}_2$.

XIF

N. Cheung, Landmark XI-F: Admission of the cubic Einstein response, and the plateau sum of the second-order variations. Supplied manuscript XI-F.tex. Used for the kernel representation of ${\mathcal{C}}_3$, Theorem F1 and its data, the smearing lemma, the homogeneous reduction, the open remark, and the classical ledger.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I, Grundlehren der mathematischen Wissenschaften 256, second edition, Springer, 1990. Used for Definition 8.1.2, Proposition 8.1.3, (8.1.11), and Theorems 8.2.4, 8.2.9, 8.2.12, 8.2.13, 8.3.1.

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. Used for retarded and advanced inverses on distributions with past- and future-compact support, uniqueness, and finite propagation.