Manuscript Oai280-A@1 · Oai280-A.tex · section · 27038823

Every step and its completion test

The separate six-step characteristic-map chain › Every step and its completion test · lines 1904–1981

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{ {}1.15

StepRequired objectCompletion test and present verdict
StepRequired objectCompletion test and present verdict
1Full joint characteristic map for the complete retained sum, on tests meeting the characteristic locus.A map respecting reconstruction descent, canonical-domain agreement, all retained tensor coefficients and grouped cross-lines, with complete-graph control. The supplied I3/J2 full target remains unresolved. No such map is constructed here.
2Joint section and controlled complete remainder.A theorem about the same complete map, retaining both placements, all branches, source terms, and root terms. The internal I2 remainder is not this object. Not constructed here.
3Uniform transverse estimates.Uniform estimates in the actual transverse variables of the joint distribution, including intersecting collision strata. Internal frequency homogeneity is not a substitute. Not constructed here.
4Contact compatibility.Compatibility with the permitted partial contacts and singular spectators, including overlap agreement and the frozen normalizations. No contact fit from another model supplies it. Not constructed here.
5Output wavefront theorem.A proved wavefront bound after the actual complete composition and proper pushforward, in the named output space. A supported-sector off-locus bound is insufficient. Not constructed here.
6Normalized quantum admission.Only after the preceding same-target constructions: the identified coefficient and the required statement. No admission is asserted; the downstream XV-B exit is not opened.

}

This table is a completion contract, not six new theorems. The supplied supported sector is not the full sum . The conditional extension interface in XIV-J does not choose an extension or a characteristic normalization CheungXIVI,CheungXIVJ.

The relationship between the classical and analytic XIV branches is retained only as supplied documentary bookkeeping. No mathematical link, continuation label, or inherited source path is converted into a formal premise of this companion. Failure to construct the full map is not a proof that every possible construction is obstructed.