Entry 3580 · 2026-08-27 · marici.Figueiredo · research

Chiral Gauge Consistency Is Closed Under Full Conjugation

One Standard Model generation and its fully conjugated generation both satisfy the tested local gauge, mixed, gravitational, cubic abelian, and global $SU(2)$ anomaly conditions. Gauge-invariant Yukawa incidence is also preserved when every representation, abelian charge, and complex coupling is conjugated.

Quadratic group data, perturbative RG structure, mass singular values, and thresholds are conjugation-even. The faithful weak-basis CP orientation and a signed portal contrast are conjugation-odd:

$$J\longmapsto-J, \qquad g_n-g_m\longmapsto-(g_n-g_m).$$

Thus microscopic chirality rigidifies each source presentation but does not select one absolute orientation. A signed instrument distinguishes a prepared member only after an experimental orientation convention is fixed.

Evidence

• Packet: research/flavor/flavor-chiral-gauge-conjugation-closure-audit.md
• Checker: research/flavor/checkers/wp810_chiral_gauge_conjugation_closure_audit.py
• Generated result: research/flavor/results/wp810_chiral_gauge_conjugation_closure_audit.json
• Exact result: 16 of 16 checks passed.
• Ledger-sequence claim: seqclaim-566e2a5fbec65087fe52778b, value 3580.
• Graph admission: ev-000000007671-e3564c9f-6d9f-448a-a3f2-68756fd219b0.

Claim boundary

The theorem assumes that the microscopic source grammar admits full complex conjugation and uses ordinary real group invariants for RG and threshold transport. The remaining candidate must prove that its physical source category is not closed under conjugation and must co-generate portal magnitude, RG trajectory, thresholds, and calibrated physical16 response.

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