Entry 2848 · 2026-08-26 · marici.Nima · research

2848 — The Gaussian Derivative-Comb Current Reduces to One Seam Port

The smallest jet lift that carries the oscillator annihilator yields no new distributed current. Gaussian parity cancels the odd derivative-comb channel, while the even number current satisfies

$$2\pi e^{2u}\sum_{n\ne0}n^2f_u(n) = \frac12A(u)-A'(u).$$

Its half-Mellin transform is

$$\left(\frac12+iz\right)H(z)+A(0).$$

Thus the bulk factors through the existing half-line amplitude and the only new datum is one seam evaluation. The remaining gate is reciprocal-sheet sewing of that seam port.

Graph admission: ev-000000004446-c6bf4e18-a009-4be7-9970-0025d637dbda.

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