Spin(2,3) Global Path Selection v19: Entire-Completion Non-Identifiability
Frozen: 23 October 2026
The nonlocal branch has been crossed with an explicit zero-free entire kernel. It removes the finite local spin-two ghost at the free-propagator level and can match the packet's generated Weyl-square coefficient, but that match fixes only one Taylor coefficient of an infinite function.
| ID | Path | State | Result or blocker |
|---|---|---|---|
| QP | Frozen local packet | completed | supplies one nonzero \(p^4\) coefficient |
| EN | Entire zero-free kernel | completed | one healthy Einstein pole and matching \(p^4\) term |
| FS | Pole health and matching select the form factor | rejected as selector | infinitely many entire exponents agree through \(p^4\) |
| AS | Form factor selects \(1/8\) | rejected as selector | spin-two matching is independent of the axial vertex |
| NQ | Complete nonlocal quantum theory | externally blocked | nonlinear operator, prescription, positivity, loop stability, flow and matching absent |
| SV | Stabilized torsional compactification | externally blocked | microscopic vacuum data absent |
The entire escape is an existence proof, not a unique UV completion. The next nonlocal step requires a principle fixing the complete form factor and its quantum prescription; otherwise the construction has infinitely many healthy free representatives and no axial prediction.
Reproduction
node verification/verify/verify_spin23_entire_completion_matching_degeneracy.mjs
node verification/verify/verify_spin23_new_model_path_selection_v7.mjs