Manuscript Oai290-A@1 · Oai290-A.tex · section · 7c6e104a
The inherited six-gate ledger
Why modular boundedness does not close characteristic admission › The inherited six-gate ledger · lines 2327–2404
The following is a source-qualified status ledger, not a new proof of the inherited field-theory construction. Its definitions, tensor coefficients, gauge group, cutoffs, and target spaces remain those of the cited supplied excerpts CheungXIVH,CheungXIVI,CheungXIVJ.
{ {}1.15
| Gate | Required object | Status retained here |
|---|---|---|
| Gate | Required object | Status retained here |
| 1 | Full joint characteristic map on tests meeting the locus. | XIV-I reports an internal amplitude construction at I2, with the joint map unresolved at I3. XIV-J's full-map stop remains J2. A supported-sector reference for away from the locus is not the complete six-branch map. |
| 2 | Joint section and complete remainder for that map. | Not supplied for the absent full map. Internal reconstruction and a finite internal remainder do not supply it. |
| 3 | Uniform transverse estimates. | Not supplied for the full joint section. Frequency homogeneity of one retarded pole is not a transverse degree of the complete graph. |
| 4 | Contact compatibility and singular-spectator gluing. | Not supplied for that section. A finite contact fit or an off-locus coefficient interface is not this compatibility theorem. |
| 5 | Output wavefront theorem after the actual operations and proper pushforward. | Not supplied for the absent complete joint distribution. An internal wavefront bound does not define a missing composition. |
| 6 | The stated quantum-output admission. | is not asserted. The downstream XV-B admission exit is not opened. |
}
Hörmander's product and pullback calculus has hypotheses on the actual distributions and their covectors Hormander. Theorem thm:bounded supplies no estimate of those covectors, no distributional multiplication map, and no renormalization normalization. The six gates therefore do not follow from modular boundedness.
The historical H2 stop of XIV-H and the later I2 construction of
XIV-I are not conflated. The latter advances an internal
representation gate, while the full joint map remains absent.
The supplied XIV-J no-admission conclusion is retained at precisely
that scope CheungXIVJ (:noadmission).
The separate XVI prepared-source and O.1 programmes are not discharged by this appendix CheungXVIA,CheungXVIN. Missing constructions are not thereby proved nonexistent.