Spin(2,3) Global Path Selection v11: Fixed-Point Identifiability Closure
Frozen: 23 October 2026
The last generic dynamical escape has been executed to its information boundary. The known matter beta function is a zero-gravity slice. Explicit extensions of that slice can select \(1/8\), reject it, or select it with the opposite local slope. An Immirzi fixed point is not a substitute because it belongs to a different coupling coordinate.
| ID | Path | State | Result or blocker |
|---|---|---|---|
| KS | Known perturbative slice | completed | fixes only \(\beta_\eta=a\eta h^2\) at zero gravity |
| ID | Infer interacting \(\eta_*=1/8\) | rejected | compatible beta completions give incompatible answers |
| IM | Import Immirzi fixed point | rejected | different theory-space coordinate |
| BF | Complete Spin(2,3) beta functional | externally blocked | truncation, quantization packet and trace absent |
| ST | Fixed point and stability matrix | externally blocked | simultaneous zero and mixing matrix absent |
| MT | UV-to-IR matching | externally blocked | spectrum, thresholds, scheme and trajectory absent |
No current-input path identifies the axial coefficient. The route reopens only when one concrete calculation supplies the beta functional, fixed point, full stability data, unitary reconstruction and threshold trajectory.
Reproduction
node verification/verify/verify_spin23_axial_fixed_point_identifiability.mjs
node verification/verify/verify_spin23_uv_torsion_flavor_path_selection_v11.mjs