Manuscript IX-C@1 · IX-C.tex · section · 03ce8e6b
V is a separation source
Inherited data and the separation from V › V is a separation source · lines 496–527
| Object in V | Separation from the selected word |
|---|---|
| External | One scalar insertion and a switched external vertex; its output is a linearly smeared free field. |
| Oscillator coefficient | A switched mixed bilinear in a finite-mode representation. |
| Newton–wave cubic | A different composed Wick form, with spatial Newton-transfer singularities. |
| Selected IX-C word | Two sharp insertions and one unsmeared quadratic metric observable; its calibrated triangle has reflected relation . |
These distinctions follow from the definitions in the supplied V manuscript V (Sections “The external-metric first retarded product”, “The one-oscillator mixed insertion”, and “Contrast: the Newton–wave cubic form”). No theorem from V enters a proof below. In particular, its subcritical extension uniqueness and switched bilinear identity are not premises for triangle factorization or G2.