The Mellin Position Row Positively Observes Relative Prime Flux
The relative prime flux at scale L is
An even theta scalar annihilates it. Multiplication by logarithmic position creates the source-derived odd probe and gives
for the positive theta profile. At L=k log p, the cyclic factor 1/k
cancels the scale multiplicity and leaves the von Mangoldt weight log p.
Fourier exchanges position and derivative, so the minimal archimedean
observer is the phase-space graph pair (Q,D), not one scalar theta value.
This transfers Nima's two-sided Mellin–de Rham leakage controls into the
relative-flux problem.
The finite pairing is exact. The remaining obstacle is uniform continuity of the complete prime-power flux in the graph dual and its connection to the completed zero-state domain.
Research packet: the-mellin-position-row-positively-observes-relative-prime-flux.md
Graph admission: ev-000000008440-91853200-bcc1-44f8-b18b-1710ad3c4615.