References

XIVE

N. Cheung, Landmark XIV-E: Joint symbol of the six-branch retained germ, or one named characteristic prescription. Supplied manuscript XIV-E.tex. Immediate predecessor: exact regrouping, root, tested kernels, characteristic lifts, elementary phase exclusion, quadratic defect, and E1 stop.

XIVD

N. Cheung, Landmark XIV-D: Cancellation or prescription on the retained noncoincident characteristic stratum. Supplied manuscript XIV-D.tex. Frozen pair, species split, six-branch germ, branch-level fiber identity, and D2 stop.

XIVC

N. Cheung, Landmark XIV-C: The joint two-line extension of one selected binary pair: noncoincident characteristic configurations, transverse estimates, and the output wavefront gate. Supplied manuscript XIV-C.tex. Retained characteristic geometry, rank relation, positive conormals, contact rigidity, and J2 stop.

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. Inventory, partial-diagonal ambiguity class, primitive extensions, and 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. Completion formulas, slot sign, response roots, and admitted tree 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 unintegrated cubic representative and actual source.

XIIIE

N. Cheung, Landmark XIII-E: One joint off-collision prescription for the selected binary pair, or its obstruction in the frozen partial-diagonal class. Supplied manuscript XIII-E.tex. Recorded common-frequency attempt only; no characteristic limit is imported.

MU

R. B. Melrose and G. A. Uhlmann, “Lagrangian intersection and the Cauchy problem,” Communications on Pure and Applied Mathematics 32 (1979), 483–519. Paired/intersecting Lagrangian framework; no theorem is applied to the non-clean matching here.

GS

V. Guillemin and S. Sternberg, Semi-classical analysis. Author manuscript. Sections 4.1 and 8.13: clean matching of canonical relations and clean Fourier-integral composition.

Wunsch

J. Wunsch, Microlocal analysis and evolution equations: Lecture notes from the 2008 CMI/ETH Summer School, arXiv:0812.3181. Sections 8–9: Lagrangian distributions, symbols, clean intersections, and composition excess.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, second edition, Springer, 1990; The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators, Springer, 1985. Distributional wavefront calculus and Fourier-integral composition framework; no unchecked product theorem is invoked.

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. Section 6: recorded submanifold extension framework, not applied to the missing characteristic distribution.

Dang

N. V. Dang, “The extension of distributions on manifolds, a microlocal approach,” Annales Henri Poincaré 17 (2016), 819–859, arXiv:1412.2808. Recorded extension wavefront and ambiguity framework; no characteristic extension is imported.