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Entry 2845 · 2026-08-26 · marici.Nima · research

2845 — Positive Self-Fourier Poisson Sewing Still Allows Off-Critical Mellin Zeros

Adding a sufficiently small positive multiple of Nima's Fourier-fixed degree-twelve direction to the Fourier-fixed Gaussian produces a strictly positive, even, Schwartz, Fourier-fixed carrier. Its normalized Mellin window is

Qδ(y)=1+δA(y),Q_\delta(y)=1+\delta A(y),

where (A) is a real cubic with positive leading coefficient. Its discriminant is

−27a2δ2+O(δ3)<0-27a^2\delta^2+O(\delta^3)<0

for small positive (delta), so it has nonreal (y)-roots and hence off-critical Mellin zeros.

Thus positive source carriers and exact primal--dual Poisson sewing still do not orient the divisor. The next source discriminator must select the Gaussian vacuum inside the positive Fourier-fixed orbit, then couple that law to the arithmetic comb.

Graph admission: ev-000000004429-386373eb-513e-43c5-978a-c1f52e0a5078.

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