Manuscript En07-A@1 · En07-A.tex · section · 44229ce9

Documentary analytic admission boundary

Documentary analytic admission boundary · lines 2032–2109

The analytic programme in the supplied XIV–XV records has different objects, domains, signs, cutoffs, and observables from the channels of this paper. A finite quantum channel does not define an absent distributional product.

The supplied historical sequence records:

XIV-H's unresolved internal-amplitude requirement at H2 CheungXIVH (thm:H2);
XIV-I's construction of the named internal retarded-pole amplitude module at I2, followed by the unresolved full joint characteristic map at I3 CheungXIVI (thm:I2, thm:I3);
XIV-J's reconstruction-descent condition and supported-sector off-characteristic reference, with the full joint map still unresolved at J2 CheungXIVJ (prop:descent, thm:reference, thm:J2, cor:noadmission).

Thus H2 is a predecessor stop, not a claim that XIV-I's named internal construction never occurred. That internal construction does not supply the later characteristic product.

The supported reference covers $K_{6} + K_{8} + K_{9}$ , not the complete six-branch target. A normal-jet formula away from a characteristic locus is not an extension across it, and a conditional extension interface is not a prescription.

The supplied admission-dependent continuation still requires:

full joint characteristic map ⟶ joint section and controlled remainder ⟶ uniform transverse estimates ⟶ contact compatibility ⟶ complete output wavefront theorem ⟶ admission in the stated output space . T h ese a r r o w s a r eo b l i g a t i o n s, n o t a u t o ma t i c im pl i c a t i o n s . T h e a d mi ss i o n l in e \[Q_{H} R_{1}^{(1)} \in E_{H}

is a documentary identifier for that separate problem; it is not asserted here. No Ward defect is formed from an absent coefficient.

The supplied XV-B release contains abstract interface theorems but does not construct the inherited full characteristic contraction CheungXVB (thm:release). Saying that its admission-dependent exit remains closed does not deny those abstract results.

XVI-N's specified-instance massless obstruction retains its own route and domain hypotheses CheungXVIN (thm:massless-obstruction). It is neither the missing joint-map construction nor a universal completion of the separate programme. The present note changes none of those statuses.

No corpus coverage claim, catalogue entry, measured record, finite-program termination theorem, or channel dilation substitutes for these analytic obligations.

Displayed formulas in this passage

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$full joint characteristic map ⟶ joint section and controlled remainder ⟶ uniform transverse estimates ⟶ contact compatibility ⟶ complete output wavefront theorem ⟶ admission in the stated output space . T h ese a r r o w s a r eo b l i g a t i o n s, n o t a u t o ma t i c im pl i c a t i o n s . T h e a d mi ss i o n l in e \[Q_{H} R_{1}^{(1)} \in E_{H}$