Typed Spin(2,3) candidate-action pilot

This directory turns one existing corpus proposal into a small executable gate graph. It is deliberately not a claim that Spin(2,3) is a fundamental symmetry.

The candidate is the effective action S_v1 from document 1199. Its anomaly-free U(1)_X, charge-three flavon and BF descent are retained. The pilot then asks whether that action can pass, without prose-only substitutions, through:

1. the four-dimensional action and its declared field types;
2. the S^1/Z_2 reduction to a 2+1-dimensional level-three BF defect;
3. physical-state, anomaly, ghost and positivity checks;
4. recovery of the chiral Standard Model with nonzero flavour CP violation;
5. a conserved-stress spectral quotient;
6. a measurable two-current/two-probe response.

Run the certificate from the repository root:

node scripts/verify_spin23_candidate_action_pilot.mjs

Honest present result

The candidate passes a small exact/implemented backbone: a typed action is available, the displayed Standard Model plus three right-handed-neutrino charge assignment is anomaly-free, the charge-three compact Higgs phase descends to a level-three BF theory, and a positive conserved two-probe spectral kernel has an H_2(R) response geometry.

That backbone does not connect end to end. The action takes its family projector and neutral mixing maps as input; no physical-state selector derives the observed chiral module; the full Lorentzian ghost/unitarity calculation is absent; no microscopic defect-to-stress operator produces a third response direction; and no Standard Model spectral density has been calculated.

The pilot therefore has physicalAdmission: false by construction. Missing gates are first-class graph nodes, not comments.

Branch-discriminating target

For a positive two-probe spectral response C(omega), define

rho(omega) = det C(omega) / tr(C(omega))^2.

Fixed conserved probes in a parity-even Lorentz-invariant vacuum obey an exact two-form-factor plane relation L(C)=0; a conformal response collapses further to a ray. The candidate's genuinely discriminating target is therefore not mere positivity or rho > 0. It is a reproducible, positivity-preserving third response direction whose plane residual changes with a specified Z_3 defect holonomy while conventional contact terms and probe changes are held fixed.

The action currently does not derive that coupling. Consequently the target is specified, not predicted. A null result leaves Spin(2,3) as ambient response geometry; a positive result would justify calculating whether an emergent covariance acts on the physical response family.

Status vocabulary

• implemented: executable representation or certificate exists.
• exact: follows algebraically under declared assumptions.
• conditional: valid only after an explicit upstream assumption is supplied.
• missing: required evidence or dynamics does not exist in the corpus.

No conditional or missing node is allowed to satisfy an admission gate.