The independent characteristic-map boundary

The supplied XIV-I, XIV-J, and XV-B passages concern a different distributional programme CheungXIVI,CheungXIVJ,CheungXVB. The finite capacity and entropy results above do not act on its six-branch characteristic target.

For a surjective reconstruction map $\mathsf{Rec}:\mathcal{P}\to \mathcal{K}$, a presentation-level linear map $\tilde{M}$ descends uniquely exactly when

This follows directly because equal reconstructions differ by a reconstruction-null presentation. The identity

likewise prevents a representative-dependent highest degree from automatically defining an intrinsic reconstructed symbol: pairing $q{\delta }^{\prime }$ with a test function gives minus its value at zero.

These compatibility facts do not construct the full joint characteristic map. According to the supplied versions, the named internal amplitudes are constructed at I2, while the full map remains unresolved at I3/J2 and in the graph-specific XV-B continuation. The required section, complete remainder, transverse estimates, contact compatibility, output wavefront theorem, and normalized quantum admission are not supplied here.

The standing supplied boundaries remain unchanged: $O.1=\text{NOT\_CLOSED}$; the downstream quantum-admission exit is not opened; XVI-N's universal obligation is not discharged; and no inherited characteristic quantum coefficient is admitted. The conditional massless obstruction in the supplied XVI-N instance is not contradicted or enlarged CheungXVIN. These are scoped provenance statements, not universal nonexistence theorems.