Manuscript XIX-E@1 · XIX-E.tex · section · 702f146e

The version-qualified analytic boundary

Witness recovery, extension, and analytic admission › The version-qualified analytic boundary · lines 649–708

The supplied records state CheungXIVH,CheungXIVI,CheungXIVJ,CheungXVB:

Record	Reported advance	Remaining target
XIV-H, v1	Exact internal maps and regular charts	Uniform internal amplitude at H2 within that sheet
XIV-I, v1	Internal amplitude module constructed at I2	Complete joint characteristic map at I3
XIV-J, v1	Reconstruction identities and supported $K_{6} + K_{8} + K_{9}$ reference off the characteristic locus	Full retained map at J2
XV-B, v2	Technical descent, relative lifting, normal-jet and extension interfaces	Graph-specific complete characteristic realization and subsequent admission

The full retained sum still includes

K_{47} + K_{5} + K_{6} + K_{8} + K_{9},

where $K_{47}$ regroups two branches and $K_{5}$ retains both metric-slot placements. A reference for the supported sector is not that complete sum after cross-line composition.

The remaining same-target obligations are:

full characteristic operation, joint section or stated prescription and complete remainder, uniform transverse estimates, contact compatibility, output wavefront and normalization, quantum admission in the stated output space .

No step is undertaken here. In particular, the documentary target

Q_{H} R_{1}^{(1)} \in E_{H}

is not asserted. No differential or Ward defect is applied to an undefined inherited coefficient.

The existence of XV-B as a technical manuscript is acknowledged. Its downstream quantum-admission exit is not opened by the technical interfaces alone.

Displayed formulas in this passage

unlabeled · line 679
$K_{47} + K_{5} + K_{6} + K_{8} + K_{9},$
unlabeled · line 687
$full characteristic operation, joint section or stated prescription and complete remainder, uniform transverse estimates, contact compatibility, output wavefront and normalization, quantum admission in the stated output space .$
unlabeled · line 698
$Q_{H} R_{1}^{(1)} \in E_{H}$