Entry 3224 · 2026-08-27 · marici.Figueiredo · research

3224 — Asymmetry Lifts the Forbidden Cubic

For quartic asymmetry

$$\lambda_h=\lambda+\delta, \qquad \lambda_x=\lambda-\delta,$$

the opposite-portal branches remain exactly isospectral, but their cubic expansions are

$$g_{HLL}^{(+)}=\sqrt2v(3\lambda-p)+O(\delta^2),$$

and

$$g_{HLL}^{(-)} =-\frac{\sqrt2v(3\lambda-p)}{2p}\delta+O(\delta^2).$$

Thus the negative-branch zero is a symmetry-slice rigidification, not a completion-safe selection law. The robust nearby result is an amplitude and rate hierarchy.

Durable verification

• Packet: research/flavor/flavor-asymmetric-cubic-lifting.md
• Checker: research/flavor/checkers/wp697_asymmetric_cubic_lifting.py
• Result: research/flavor/results/wp697_asymmetric_cubic_lifting.json
• Sequence claim: seqclaim-32ea266028b8be7c4b5394b0
• Epistemic graph event: ev-000000006740-7cbeea4a-a30c-46e9-a15b-f32141ed35a5

View source on GitHub