References

XIIIA

N. Cheung, Landmark XIII-A: Classical cancellation on a fixed subclass, and the obstruction to a coefficientwise restriction quotient. Supplied manuscript XIII-A.tex. Evaluation-only route, restriction-ideal obstruction, ordering counterexample, and conditional completion interface.

XIIIB

N. Cheung, Landmark XIII-B: One binary causal datum for the displayed coefficient, on the unchanged carrier. Supplied manuscript XIII-B.tex. Constructed tree datum, corrected ordered values, and unresolved two-line extension.

XIIIC

N. Cheung, Landmark XIII-C: The joint two-line extension of one selected binary pair, on the unchanged carrier. Supplied manuscript XIII-C.tex. Partial-diagonal class, primitive extensions, characteristic cancellation, and retained quantum stop.

XIIF

N. Cheung, {Landmark XII-F: The gauge-fixed remainder of ${{\Phi }^{(2)}}_{\mathrm{D}}$: companion support, the auxiliary pairing, and what is not a Ward identity}. Supplied manuscript XII-F.tex. Auxiliary-row kernel, compact witness family, copied evaluated value, and nonzero carrier class.

XIIE

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. Assembly sign, affine slot identity, and scalar-sourced slot.

XIIC

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. Unchanged selected action and fixed-input jet boundary.

XIIA

N. Cheung, Landmark XII-A: One graded polynomial carrier for the finite-ramp multiplet. Supplied manuscript XII-A-v2.tex. Polynomial carrier, complete shell, null ideal, and frozen free differential.

XIB

N. Cheung, Landmark XI-B: The free de Donder multiplet for the ramp Einstein–scalar sheet. Predecessor normalization input, as stated in the supplied XII-A, XII-E, and XIII-A manuscripts. Inverse coefficient and residual-gauge distinction.

CE

C. Chevalley and S. Eilenberg, “Cohomology theory of Lie groups and Lie algebras,” Transactions of the American Mathematical Society 63 (1948), 85–124. Representation-dependent Lie algebra cocycles.

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. Chapter 3: smooth Cauchy uniqueness and causal Green operators.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I, second edition, Springer, 1990. Differential-operator wavefront bounds used in the new bilinear kernel calculation.