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Entry 3239 · 2026-08-27 · marici.Figueiredo · research

3239 — The Closed Scalar Flow Has a Stable Projective Infrared Ray

On the invariant symmetric subspace of the complete WP662 scalar flow, with (lambda_n=lambda_m=a), (lambda_c=0), and (lambda_x=b>0), the ratio (r=a/b) obeys

r˙=4b(2r−1)(2r−3).\dot r=4b(2r-1)(2r-3).

Strict radial stability requires (r>1/2), excluding the lower invariant ray. Every strictly stable trajectory that extends to the Gaussian infrared limit approaches the remaining ray (r=3/2), which lies inside the open-decay corridor.

This is a source-derived asymptotic selector on the scalar-truncation tangent cone. It is not yet a finite-scale or physical16 selector: the trajectory constant remains distinct at every finite projective time, and omitted gauge, Yukawa, messenger, and threshold terms may move or destroy the ray.

Durable verification

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