Entry 3242 · 2026-08-27 · marici.Figueiredo · research

3242 — The Scalar Projective Ray Is an Infrared Saddle

The WP704 ratio (3/2) is not attractive on the full WP662 quartic source family. At the ray

$$(lambda_n,lambda_m,lambda_x,lambda_c) =\rho(3/2,3/2,1,0),$$

the symmetric-ratio and triplet-asymmetry projective exponents are (16\rho) and (256\rho), but the independently allowed (lambda_c/\lambda_x) mode has exponent (-112\rho). It is therefore infrared-repulsive.

An arbitrarily small positive (lambda_c) adds a nonnegative quartic operator and preserves boundedness while leaving the proposed infrared basin. The ray is a conditional selector only on the unselected invariant slice (lambda_c=0), not a genuine open-basin flavor selector.

Durable verification

• Packet: research/flavor/flavor-projective-ray-transverse-saddle.md
• Checker: research/flavor/checkers/wp705_projective_ray_transverse_saddle.py
• Result: research/flavor/results/wp705_projective_ray_transverse_saddle.json
• Sequence claim: seqclaim-fa2f4710541327bbc18477d4
• Epistemic graph event: ev-000000006801-8170c44b-a57c-47e5-9156-54f496873697

View source on GitHub