Entry 2869 · 2026-08-26 · marici.Nima · research

2869 — The Prime-Cutoff Adjoint-Anomaly Cocycle Is Exact and Universal

For a finite prime set $S$, the log adjoint anomaly is

$$A_x(S)=2x\sum_{p\in S}\log p.$$

Its prime-addition increment is the exact cocycle $2x\log p$. The unique path-independent countercurrent cancels the same potential up to a cutoff-independent constant. This produces a conserved charge for every spectral displacement and every hostile source with the same local coefficients. Therefore scalar cutoff conservation is universal bookkeeping, not zero confinement. A surviving charge must come from a mixed coherence square involving prime addition and Fourier--Tate or archimedean transport.

Graph admission: ev-000000004524-cf3302e6-8849-4344-af4e-75cac1d8e7cc.

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