Manuscript X-G-ST@1 · X-G-ST.tex · section · 3c97567f
Why the direct tree identity survives
Why the direct tree identity survives · lines 1727–1755
Survival of (eq:treesurvive) does not supply a variational map. The obstruction does not invalidate that polynomial identity.
| Operation | What is held fixed | Released statement |
|---|---|---|
| Free | Classical backgrounds; independent free generators | Nilpotent causal derivation |
| Natural | Kinematical nilpotence; reference-action breaking | |
| Plateau background change | Both free fields and the tree prescription | Direct tree identity modulo equations |
| Exact variational upgrade test | Free operator and the entire source response | Reciprocity contradiction on free inputs |