Spin(2,3) Global Path Selection v5: Coherent Nuclear Response
Frozen: 23 October 2026
Reopening and correction
Version 4 treated a numerical electron-proton curve as a possible second nucleon input. The 30-microeV proton point is analytically recoverable from the published \(^{21}\mathrm{Ne}\) spin fractions, but the deeper result is that the proton and neutron curves share one likelihood. They are alternative one-coupling projections of one coherent nuclear response.
| ID | Path | State | Result or blocker |
|---|---|---|---|
| EP | Xu proton point | completed | \(|y_ey_p|\lesssim3.4752\times10^{-8}\) at 30 microeV |
| JX | Simultaneous Xu response | completed | \(c_n+0.0689655c_p\); blind line \(c_p=-14.5c_n\) |
| 2I | Add \(^{129}\mathrm{Xe}\) direction | completed | rank two, but 2.204-degree separation and \(\kappa=52.38\) |
| 2C | Precision two-isotope inversion | externally blocked | joint numerical likelihoods and nuclear covariance |
| H3 | Third quark projection | externally blocked | observable outside the proton-neutron span |
| UV | Parent flavor prediction | externally blocked | matched UV Wilson coefficients |
Decision
For simultaneous torsion coefficients the Xu experiment constrains
Under the positive universal benchmark, proton and neutron contributions add and revise the conditional result to \(\sqrt A>72.401\) GeV. For general coefficients they can cancel exactly.
The existing \(^{129}\mathrm{Xe}\) experiment supplies a different isotope direction in principle. With a selected detailed shell-model spin fraction, the neon-xenon response matrix is full rank, but its condition number 52.38 makes inversion highly sensitive to experimental and nuclear-model errors.
Stopping status
The selected public experimental-hadronic route is exhausted at reproducible numerical depth. A defensible next calculation cannot be obtained by dividing published upper-limit curves. It requires common-mass joint likelihoods or response tables and nuclear-spin covariance. Even successful nucleon tomography leaves the exact third light-quark direction for a new observable or UV flavor relation.
Reproduction
node verification/verify/verify_spin23_xu_electron_proton_bound_map.mjs
node verification/verify/verify_spin23_xu_simultaneous_nucleon_coupling_map.mjs
node verification/verify/verify_spin23_two_isotope_nucleon_tomography.mjs
node verification/verify/verify_spin23_experimental_hadronic_path_selection_v5.mjs