Why the regular charts do not solve this transition

The noncharacteristic amplitude contains the factor $1/p(\kappa )$. Its classical symbol bounds are not uniform as $p(\kappa )\to 0$. The separated-cone representation uses a different base incidence, with $\tau >0$. Proposition prop:branching proves that these incidences cannot be identified as one smooth ordinary relation at $\tau =0$.

Thus there is an actual additional amplitude problem to solve. Merely taking the union of (eq:L5plus) and (eq:Ldiag), or quoting a wavefront bound for the existing tree kernel, does not solve it.

This observation is not a nonexistence theorem for a suitable amplitude calculus. No universal claim about all representations in Definition def:class is made.