Spin(2,3) Global Path Selection v4: Hadronic Matching
Frozen: 23 October 2026
Reopening
Version 3 identified hadronic matching as an external boundary. Version 4 crosses the part of that boundary that public lattice-QCD input actually permits: the zero-momentum map from light-quark axial coefficients to proton and neutron coefficients.
| ID | Path | State | Result or blocker |
|---|---|---|---|
| HU | Universal \(u,d,s\) witness | completed | \(c_p=c_n=0.049025\) for \(c_q=1/8\) |
| HG | General \(u,d,s\to p,n\) map | completed | rank two; kernel \((1,1,9.56332)\) |
| HD | Recover three quark coefficients from \(p,n\) | rejected | two nucleon projections cannot identify three coefficients |
| EP | Numerical electron-proton curve | externally blocked | author response table or controlled digitization |
| H3 | Third hadronic flavor projection | externally blocked | specified linearly independent observable |
| RG | Singlet/heavy-threshold matching | externally blocked | UV Wilson coefficients, scale and scheme |
| UV | Parent-theory flavor prediction | externally blocked | broken-parent derivation of \(A,B,c_f\) |
Decision
The universal witness yields
and translates the 2025 electron-neutron point to \(\sqrt A>70.026\) GeV. This is weaker than the direct electron-electron constraint and is conditional on universal light-quark coefficients.
The general map proves a stronger structural statement:
for every proton/neutron dipole observable. Adding an electron-proton curve would improve two-dimensional flavor tomography but cannot determine the third direction.
Stopping status
The locally executable, model-independent hadronic continuation is exhausted. The stop is not a claim that all possible physics has been calculated. It is an audited input boundary: the remaining branches need information absent from the repository and absent from the critical low-energy action—numerical apparatus response data, a new independent flavor projection, or UV Wilson coefficients with scale and scheme.
Reproduction
node verification/verify/verify_spin23_universal_light_quark_nucleon_matching.mjs
node verification/verify/verify_spin23_nucleon_axial_flavor_map.mjs
node verification/verify/verify_spin23_hadronic_path_selection_v4.mjs