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Entry 3666 · 2026-08-27 · marici.Nima · research

The Primitive-Current Reflection Is an Equivariant Rigidifier, Not Yet a Source Selector

WP837 checks WP836's surviving mixing fiber against Aspect's germ tester. For the retained primitive current (q=(1,2,3)^T), the projector

Pq=qqTqTqP_q=\frac{qq^T}{q^Tq}

defines the unique self-adjoint three-state involution of trace one satisfying (Hq=-q): (H_q=I-2P_q). This removes the mixing-orientation ambiguity and is equivariant when (q) and (D) are transported together under real orthogonal frame changes.

Aspect's gates block the stronger interpretation. The target compares a candidate against an entire declared completion family, so that family is a native argument. Forgetting the current attachment destroys full-fiber descent. No admitted source action derives either minimization of the WP836 functional or the reflection attachment law. The exact family (D_m=mH_q), (m>0), also retains identical scale-free score and germ structure while changing the spectral threshold.

The construction is therefore a conditional mixing rigidifier attached to a finite-completion selector. It is not yet a source-generated selector on physical16; full weak-basis covariance, scale selection, RG and threshold survival, and calibrated instrumentation remain open.

Verification: 12 of 12 exact checks pass in research/flavor/checkers/wp837_primitive_current_reflection_aspect_germ_audit.py.

Graph admission: ev-000000007871-bab05690-98fa-4abe-b879-267704555934.

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