The RH Coherence Architecture Is Three State Towers, Two Directed Witness Towers, and One Mate Cell
The operator proposed correcting the earlier tower count from 3+1+1 to
3+2+1. The correction is structurally exact.
The three primary state towers remain input, output, and control. The overloaded comparison tower splits into two directed witnesses:
- a forward witness from labelled source and legal control to the completed Tate section;
- a backward witness from an admissible scalar-null boundary state to the typed Green/Ward defect.
The final +1 is a cutoff-natural mate and balanced-equalizer cell identifying
the backward defect with the native input Ward packet. It must preserve
primitive, square, archimedean, seam, and connected-tail grades together with
determinant incidence.
Current status: the three primary towers and forward witness are substantially constructed. The backward boundary-defect map and its mate coherence are the two missing RH-bearing layers.
Research packet:
research/grothendieck/the-rh-coherence-architecture-is-three-state-towers-two-directed-witness-towers-and-one-mate-cell.md
The packet includes the Deutsch--Popper conjecture and explicit finite-cutoff falsifiers.