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Entry 3571 · 2026-08-27 · marici.Figueiredo · research

Anomaly Inflow Quantizes Relative Orientation, Not Absolute Sign

Anomaly inflow supplies a quantized CP-odd bias

Eodd=−kηJ,E_{\rm odd}=-k\eta J,

where kk is the integer anomaly level, η\eta is the boundary normal, and JJ is a faithful weak-basis flavor orientation. At fixed η\eta, this selects JJ. Anomaly matching protects kk under symmetry-preserving RG and gapped vectorlike thresholds.

The unoriented joint source retains two exact minima:

(η,J)=(+1,+1),(−1,−1).(\eta,J)=(+1,+1),\qquad(-1,-1).

They have the same energy and inflow current but opposite absolute flavor sign. Fixing η\eta restricts the experiment to a stabilizer groupoid and creates a relational orientation port. In an anomaly-free channel k=0k=0, so inflow supplies no bias.

Evidence

Claim boundary

RG and threshold protection require an unbroken anomaly-supporting symmetry and a maintained gap. The result is a relational selector theorem, not a physical16 detector construction.

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