Spin(2,3) Global Path Selection v2: Phenomenology Reopening
Frozen: 23 October 2026
Reopening
Version 1 ended with low-energy phenomenology blocked by the absence of a chosen observable and finite matching. The observable choice has now been supplied constructively: a dual-orientation polarized electron source and detector targeting the critical \(0^-\) Yukawa tensor force.
The path selector advanced every downstream node that does not require an actual apparatus or new UV theory.
| ID | Node | State | Result or blocker |
|---|---|---|---|
| O | Dual-orientation observable | completed | coupling-free mass ratio plus absolute-coupling channel |
| S | Uniform-sphere finite size | completed | exact common Yukawa form factor; mass ratio preserved |
| V | Arbitrary geometry | completed | executable voxel response tensor and SI normalization |
| D | Apparatus likelihood | externally blocked | spin map, modulation, noise and backgrounds required |
| M | UV inverse matching | externally blocked | finite \(c_e,A,B\) prediction required |
| U | Protecting parent | externally blocked | explicit action or Ward identity required |
| N | Nonperturbative completion | externally blocked | regulator, continuum and positivity required |
Selection result
The chosen path produced three new exact or executable layers:
- \(\rho=-U_R/U_T=x+1+(x+1)^{-1}\) determines \(m_\varphi\) independently of the unknown force normalization;
- two uniform non-overlapping spheres multiply both channels by \(F(mR_1)F(mR_2)\), so the ratio survives finite size exactly; and
- arbitrary rigid-polarization voxel maps now produce the full response tensor \(G_{ij}(m)\) and joules per \(y_e^2\).
The next numerical exclusion or forecast cannot be selected from theory. It requires measured apparatus inputs. Likewise, translating \((m_\varphi,y_e)\) into separate \((c_e,A,B)\) values requires broken-phase UV matching.
Current stopping status
Global exhaustion is again true for the enlarged local-data frontier. This does not undo the conditional nature of the original result. It means that the phenomenology branch has been carried from a generic potential to the boundary of an experimental likelihood, and every remaining decision node now names the external object that would reopen it.
Reproduction
node verification/verify/verify_spin23_polarized_electron_observable.mjs
node verification/verify/verify_spin23_polarized_sphere_form_factor.mjs
node verification/verify/verify_spin23_polarized_geometry_response.mjs
node verification/verify/verify_spin23_phenomenology_reopening_selection_v2.mjs