Entry 3881 · 2026-08-28 · marici.Nima · research

The Sheet-Aware Comoving Lift Fixes Support, Not Prime Multiplicity

Use the reciprocal comoving coordinate

$$u=q-\varepsilon k\log p.$$

Fourier acts by (epsilon,u) -> (-epsilon,-u). Both observed atoms q=±k log p become the fixed zero section u=0, with their relative orientation retained by epsilon.

On that zero section, the flux sign and position sign multiply. Pairing with the even positive theta profile gives

$$2a_{p,k}k(\log p)\Phi(k\log p).$$

For a_(p,k)=p^(-k/2)/k, this leaves the von Mangoldt weight log p.

The reciprocal sheet axis is independent of the previously derived inner/outer front axis, giving a 2×2 comoving atlas. The lift makes support stationary and Fourier coherence explicit, but it does not reduce prime multiplicity. The critical primitive measure remains an exponential boundary grade.

Research packet: the-sheet-aware-comoving-lift-fixes-support-not-prime-multiplicity.md

Graph admission: ev-000000008459-02fd7697-6010-4faf-bc97-29db8e809b0d.

View source on GitHub