Phase 51 · four-ruler phase search · AT-0431 → AT-0438

Four rulers

Seed 431. A weighted ring whose edges are repriced by a strictly local field — no long-range A–B edge, no endpoint address in the dynamics, one frozen parameter set at every size. Geometry, resistance, spectral gap and causal arrival time all moved together. Then we grew the world, and the advantage slid back toward 1.