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 Cauchy lemma, transposition, kernel lemma, preflight argument, pure-gauge variation lemma, and Theorem (v).

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, $E_{\mathrm{gf}}=2D^{\ast }D\gamma$, the breaking $-\square D$, 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 gauge fermion, the normalization $-\mathcal{P}{{\mathsf{E}}_0}^{\mathrm{R}}$, and the free shell.

XIC

N. Cheung, Landmark XI-C: One fixed-regulator graviton tree for the ramp relational scalar. Supplied manuscript XI-C.tex. Used for the tree sign $-\mathcal{T}$ and the held-fixed defect.

XID

N. Cheung, Landmark XI-D: Admission of the fixed-width graviton tree and one ghost-number-zero identity. Supplied manuscript XI-D.tex. Used for the written-out second coefficient and the affine lemma.

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 Hadamard algebra and its domain, the cubic response, its variation, the split cancellation, and the witness.

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, and Theorem 8.2.12.

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 smooth Cauchy theory and finite propagation.