Root and coordinate candidate: XVI-E

XVI-E constructs the root pairing $Q_{\lambda }$, retains the polarized scalar root identity $T^{\mathbb{C}}=Q_{\lambda }$, and constructs the explicit field

It proves the corresponding wave equation and zero-data uniqueness comparison, but does not identify that candidate with an independently verified inherited coordinate field on the witness family XVIE.

Uniqueness of solutions to a Cauchy problem is not, on its own, a definition of the named Green operator on a larger source space.