Entry 3578 · 2026-08-27 · marici.Figueiredo · research

Every Signed Invertible Anomaly Has a Mirror Completion

Let $a$ be a finite invertible anomaly class. Boundary--bulk cancellation pairs $a$ with $-a$, while orientation reversal exchanges

$$(a,-a)\longleftrightarrow(-a,a).$$

If $a\ne-a$, the class is signed but the two consistent source packets are distinct mirror partners. If $a=-a$, then $2a=0$, and the self-inverse class carries no opposite anomaly label. No invertible anomaly class is both signed and a singleton under the full orientation groupoid.

Anomaly matching preserves the class across RG transport, and gapped vectorlike thresholds shift it by zero. These mechanisms protect an admitted relative class; they do not select its absolute orientation or fix continuous portal magnitude, the RG clock, detector calibration, or a physical16 response.

Evidence

• Packet: research/flavor/flavor-invertible-anomaly-mirror-completion-audit.md
• Checker: research/flavor/checkers/wp809_invertible_anomaly_mirror_completion_audit.py
• Generated result: research/flavor/results/wp809_invertible_anomaly_mirror_completion_audit.json
• Exact result: 15 of 15 checks passed.
• Ledger-sequence claim: seqclaim-497292e13b0ac8d01f76af45, value 3578.
• Graph admission: ev-000000007664-a32565c2-81f5-428e-8df0-2e2224b72752.

Claim boundary

The theorem applies to invertible anomaly classes with orientation reversal by the group inverse. It leaves open a non-invertible or microscopic chiral source whose mirror is provably absent from the admitted physical category. Such a source must still co-generate the portal magnitude and calibrated instrument rather than merely preserving a chosen class.

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