Manuscript Oai365-A@1 · Oai365-A.tex · section · a3840e3d
The inherited characteristic quantum programme is separate
The inherited characteristic quantum programme is separate · lines 1926–1989
The supplied XIV-H/I/J and XV-B passages concern a different distributional construction CheungXIVH,CheungXIVI,CheungXIVJ,CheungXVB. None of the finite process matrices, Sobolev DN forms, or comparator transport channels constructed above is its complete characteristic graph.
For completeness, the elementary algebraic interface is: a linear candidate factors through a surjective reconstruction if and only if
Necessity follows by applying the factorization to a null presentation. For sufficiency, set ; the kernel condition gives well-definedness.
The identity
shows why highest polynomial presentation degree alone need not descend. It follows directly by testing against :
This condition does not construct a missing distributional product.
| Gate | Required object | Disposition here |
|---|---|---|
| 1 | Full joint characteristic map on tests meeting the locus | Not constructed; no universal nonexistence theorem asserted. |
| 2 | Joint section and complete controlled remainder | Not supplied by the internal amplitude or supported-sector reference. |
| 3 | Uniform transverse estimates for that joint object | Not inferred from internal frequency homogeneity. |
| 4 | Compatibility with permitted contacts and singular spectators | Not checked for an absent full characteristic construction. |
| 5 | Complete output wavefront theorem after the actual pushforward | Not supplied by an internal or off-locus wavefront bound. |
| 6 | Normalized admission | Not established. |
Thus the supplied I2 internal-amplitude advance is not withdrawn, but the full I3/J2 map and its later admission chain are not completed. The technical XV-B manuscript may exist while its downstream quantum-admission exit remains unopened.
The conditional Route A obstruction in XVI-N is not changed. Its universal completion obligations and Route B are not discharged CheungXVIN. No conclusion here updates separately scoped bulk-sector statements in other manuscripts.
Displayed formulas in this passage
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