Manuscript Hawk04-B@2 · Hawk04-B.tex · section · ba3b0713

The uncompleted admission chain

Documentary analytic separations › The uncompleted admission chain · lines 2628–2675

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The supplied excerpts place the remaining obligations in the order

These arrows are obligations, not automatic consequences. An internal frequency estimate is not the transverse estimate of the later quantum composition.

Under the quoted admission contract, the unasserted line would include

These symbols are documentary identifiers for that separate problem, not new objects constructed in this paper. No such coefficient is admitted here, and no Ward defect is formed from an absent coefficient.

The phrase “XV-B remains closed” refers to its admission-dependent exit. It does not deny that XV-B contains abstract interface theorems. Its supplied release explicitly does not construct the inherited full characteristic contraction CheungXVB (thm:release). Neither the finite typed fragment nor the channel certificates above open that exit.

The supplied XVI-N obstruction is conditional on its particular massless instance and stated route assumptions CheungXVIN (thm:massless-obstruction). It is not the missing H2, I3, or J2 construction, does not discharge a universal analytic completion, and does not open the XV-B exit.

The quoted analytic continuation is distinct from the relative classical XIV-A–XIV-B branch. XIII-E's alternative route is not imported. Later continuation labels or documentary patch sheets are not substituted for the required analytic maps. These statements concern the supplied source boundaries; they are not universal nonexistence theorems.

Displayed formulas in this passage

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