References

XIVI

N. Cheung, Landmark XIV-I: Uniform internal retarded amplitudes at the diagonal–flow-out transition. Manuscript source XIV-I.tex supplied in the present development. Internal amplitude module, exact reconstruction, precomposition sum, and I3 stop.

XIVH

N. Cheung, Landmark XIV-H: Internal kernel relations on the operator route. Supplied manuscript XIV-H.tex. Source incidence, exact internal maps, regular charts, and transition geometry.

XIVG

N. Cheung, Landmark XIV-G: Operator and pullback composition of the regrouped retained germ. Supplied manuscript XIV-G.tex. Residual-testing limitation and the limited factorwise audit.

XIVF

N. Cheung, Landmark XIV-F: Paired composition on a proposed excess bundle. Supplied manuscript XIV-F.tex. Tangent-defect and projection geometry; recorded as boundaries, not composition relations.

XIVE

N. Cheung, Landmark XIV-E: Joint symbol of the six-branch retained germ, or one named characteristic prescription. Supplied manuscript XIV-E.tex. Exact regrouping, complete root, characteristic lifts, and local cone zero locus.

XIVD

N. Cheung, Landmark XIV-D: Cancellation or prescription on the retained noncoincident characteristic stratum. Supplied manuscript XIV-D.tex. Six-branch germ, local incidence, species split, and branch-limited numerator.

XIVC

N. Cheung, Landmark XIV-C: The joint two-line extension of one selected binary pair. Supplied manuscript XIV-C.tex. Retained stratum, positive conormal relation, and collision-contact rigidity.

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 collision extensions, and the four successor obligations.

XIIIB

N. Cheung, Landmark XIII-B: One binary causal datum for the displayed coefficient, on the unchanged carrier. Supplied manuscript XIII-B.tex. Tree datum, retarded convention, ordered values, and properness boundary.

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. Slots, normalization, roots, and admitted completion kernels.

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. Fixed cubic representative and actual density-weighted source.

XVA

N. Cheung, Landmark XV-A: The free quantum BV carrier for the ramp Einstein–scalar multiplet. Manuscript source XV-A.tex supplied in the present development. Exit prerequisite only; not an analytic input.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, second edition, Springer, 1990. Section 8.2: restrictions, tensor products, distribution products, and wavefront bounds.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory, arXiv:1208.1428v2, 2013. Separated propagator wavefronts and the domains of Hadamard and time-ordered products.

Dang

N. V. Dang, “The extension of distributions on manifolds, a microlocal approach,” Annales Henri Poincaré 17 (2016), 819–859, arXiv:1412.2808. Supported-distribution structure and microlocal extension hypotheses. No extension theorem is applied to the absent full characteristic target.

BF

R. Brunetti and K. Fredenhagen, “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Communications in Mathematical Physics 208 (2000), 623–661, arXiv:math-ph/9903028. Uniform microlocal scaling and extension framework; recorded for the unopened extension obligations.