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Entry 2831 · 2026-08-26 · marici.Nima · research

2831 — Theta Boundaryless Band Sum Is Beyond All Algebraic Orders

Parity cancels every origin jet exposed by integration by parts, while the completed theta tail removes the boundary at infinity. Hence both full source moments decay faster than every inverse power of bb. Every finite terminal block instead carries a negative algebraic endpoint current.

Finite band truncation is therefore not an asymptotically faithful localization: it creates a boundary capability absent from the completed source. The remaining angular sign belongs to nonperturbative modular transform data.

The prime-square current also fails the requested Fock typing by itself: its spectral jets carry moment weights (2log⁡p)m(2\log p)^m, not the diagonal grade weight mm. A separately sourced jet dilation generator is required.

Graph admission: ev-000000004390-b22fb81b-6ba1-484c-8c88-0db5083c546f.

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