J3: the transverse obligation is not reached

The copied parallel-line degree eight is a normal degree at a two-vertex collision. It supplies neither a normal degree along ${\mathcal{N}}^{\circ }$ nor a uniform degree at the larger collision strata and their intersections.

A future J3 proof must first have a distribution from J2. In tubular coordinates $(z,r)$ at a relevant stratum, it must control normal rescaling $r\mapsto \rho r$ uniformly over compact sets of longitudinal variables $z$. The rescaled distributions must have controlled test seminorms and the needed microlocal bounds.

If pointwise slices $t_z$ are used, their existence as distributional restrictions must also be proved; they are not automatic. Bounds at one fixed $z$ do not give the required uniform theorem. The extension literature explicitly separates these hypotheses from point-extension power counting BF,Dang.

No transverse degree for an undefined characteristic composition is assigned here. J3 is not opened.