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Entry 3646 · 2026-08-27 · marici.Figueiredo · research

The Primitive Ward Current Selects a Channel but Not Its Threshold Coupling

The WP820 incidence has one primitive current generator

q=(1,2,3)T.q=(1,2,3)^T.

Oriented cubic inflow selects qq rather than −q-q, fixing the positive unit charge contrast. This supplies the unique linear Ward-current channel that WP830 lacked.

For the frozen base spectrum, the current index is S=qTq=14S=q^Tq=14 and the response C=14e2C=14e^2 is injective for e>0e>0. It reads a realized coupling but does not select one.

An anomaly-neutral vectorlike pair (r,−r)(r,-r) changes the current index by 2r22r^2. Continuity of the same response across its threshold allows

elow=14+2r214ehigh.e_{\rm low}=\sqrt{\frac{14+2r^2}{14}}e_{\rm high}.

The unit pair changes the portal magnitude by 8/7\sqrt{8/7}. Equivalently, the packets (S,e)=(14,1)(S,e)=(14,1) and (16,7/8)(16,\sqrt{7/8}) share current record 14.

Consequence

Primitive-current selection repairs channel canonicality and fixes charge orientation. Ward identity and anomaly matching do not fix the gauge coupling, RG basin, spectral completion, threshold value, or physical instrument. The source must make every anomaly-neutral sector and mass unavoidable before the current response can serve as a numerical portal prediction.

Evidence

Claim boundary

This is a finite equal-weight current-index model of the threshold fiber. It does not claim a completed quantum current correlator, detector calibration, or a derived interacting fixed point.

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