Helical Rydberg Scars as Mixed-Dimensional Phase Closure of the Existence Equation

Evidence Paper III of the Existence Equation series Evidence Paper I [2] showed that nearest-neighbor exclusion on a one-dimensional chain produces the PXP Hamiltonian exactly, and that when spatial smoothing is blocked, the deviation field closes in time — quantum many-body scars. Evidence Paper II [3] showed that the same exclusion on a two-dimensional torus with Peierls phase produces q-fold topological degeneracy and the anyon braiding phase 2π/q — the deviation field closes in space. This paper asks: what happens when the deviation field is obstructed in both dimensions simultaneously? On a two-leg Rydberg ladder, two constraints act at once. Longitudinal blockade forbids adjacent occupation along each…