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Entry 3235 · 2026-08-27 · marici.Figueiredo · research

3235 — Copositivity Does Not Prevent Threshold Cancellation

The declared radial quartic stability conditions admit the exact boundary preimage that cancels a positive portal threshold. At

λh=λx=2,Δp=1,pUV=−1,\lambda_h=\lambda_x=2, \qquad \Delta_p=1, \qquad p_{\mathrm{UV}}=-1,

the quartic copositivity margin is one and the mixed-vacuum Hessian margin is three, while (p_{\mathrm{low}}=p_{\mathrm{UV}}+\Delta_p=0).

Thus vacuum boundedness and local mixed-vacuum stability rigidify the admitted domain but do not select nonzero portal support or the high-contrast coupling corridor. A sign restriction on the UV boundary would be a new source postulate, not a consequence of stability.

Durable verification

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