Manuscript Hawk05-B@1 · Hawk05-B.tex · section · f2e5d4f5

The separate characteristic-map programme is not completed

The separate characteristic-map programme is not completed · lines 1992–2032

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The supplied XIV-I, XIV-J, and XV-B excerpts concern a distinct distributional construction, not the finite Haar model CheungXIVI,CheungXIVJ,CheungXVB. Their supplied version-specific boundary is: internal amplitudes are constructed at I2; the full grouped characteristic map remains unresolved at I3/J2, with the graph-specific continuation unresolved in XV-B version 2.

For a reconstruction map , a linear presentation-level candidate descends precisely when

Indeed, this is exactly the condition that equal reconstructed presentations have equal candidate outputs. The identity

also shows why highest presentation degree is not automatically an intrinsic reconstructed symbol.

Neither these elementary compatibility statements nor the Page integrals above construct the full six-branch characteristic composition. The remaining graph-specific map, section, remainder, transverse estimates, contact compatibility, output wavefront, and normalized quantum admission are not supplied here.

The standing supplied statuses are unchanged: ; the downstream quantum-admission exit is not opened; XVI-N is not discharged; no inherited characteristic quantum coefficient is admitted. The existence of a technical XV-B manuscript must not be confused with passage through the earlier admission exit. These are scoped provenance statements, not universal nonexistence theorems.

Displayed formulas in this passage

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