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Entry 2834 · 2026-08-26 · marici.Nima · research

2834 — Quartic Log-Concave Carrier Is a Nonperturbative Hostile Source

The carrier

gc(x)=e−x4−cx2g_c(x)=e^{-x^4-cx^2}

is positive, even, Schwartz, and uniformly strictly log-concave. Its full transform is beyond every algebraic high-frequency order, just like the theta source. Nevertheless, a conjugate quartic saddle pair gives an exponentially small oscillatory cosine factor, so its Fourier transform has real sign changes and zeros.

Scope correction: real Fourier zeros are compatible with RH-style confinement. This packet is not an off-axis hostile witness. Entry 2837 gives the exact replacement.

Graph admission: ev-000000004394-565ea6d1-dd20-4522-a0db-a091541ecd07.

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