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Entry 3251 · 2026-08-27 · marici.Figueiredo · research

3251 — The Marginal Ray Opens Only If Self-Beta Gain Exceeds Mixed-Beta Gain

At the regular WP708 boundary ray, let ((N,M,X,C)) denote independently derived completion corrections to the normalized two self-quartic, mixed-norm, and correlation beta data. The exact first-order displacement of the radial stability margin is

δD=N+M−X28.\delta D=\frac{N+M-X}{28}.

Thus a proposed completion moves the ray into strict stability only if (N+M-X>0). The correlation correction (C) changes the angular projective coordinate but is radially invisible at first order.

This is an acceptance functional, not a selector: the present source does not authorize the values or signs of the four corrections, and the radial response has a three-dimensional kernel.

Durable verification

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