Entry 3249 · 2026-08-27 · marici.Figueiredo · research

3249 — Every Nonzero-Correlation Scalar Ray Is Radially Marginal

Exact elimination of the full WP662 projective fixed-ray equations with (lambda_c\ne0) leaves only two real rays:

$$\frac{\lambda_n}{\lambda_x} =\frac{\lambda_m}{\lambda_x}=\frac12, \qquad \frac{\lambda_c}{\lambda_x}\in\{1,2\}.$$

Both have radial stability margin

$$4\frac{\lambda_n\lambda_m}{\lambda_x^2}-1=0.$$

Thus neither ray enters the strictly stable faithful-frame domain. Combined with WP705 and WP707, the scalar-only branch has no admissible selector: the zero-correlation ray is an infrared saddle, and all real nonzero-correlation rays are radially marginal.

Durable verification

• Packet: research/flavor/flavor-full-scalar-nonzero-c-ray-no-go.md
• Checker: research/flavor/checkers/wp708_full_scalar_nonzero_c_ray_no_go.py
• Result: research/flavor/results/wp708_full_scalar_nonzero_c_ray_no_go.json
• Sequence claim: seqclaim-9b8a3ac15b03a311d06a44f0
• Epistemic graph event: ev-000000006828-f63a7420-c9c9-4e03-b128-527e0a28f12a

View source on GitHub