THE STRANGE LOOP LAB

“On this substrate, on this world: a walker reading only the field its world carved composes never-stored, legal, field-bound, varied routes — banked 2026-07-18, Strike AD.”

BANKED WORLD

ACT 1 — THE WORLD

frozen board BANKED
board hash
12 symbols · starts 0–3 · endings 4–11 BANKED roles
3D→2D fixed oblique projection (x + 0.5·z, −y + 0.35·z) — a projection, not the geometry.

ACT 2 — THE CARVE the world makes its rule

writer walks 0/2000 · reader walks 0/2000 LIVE
distinct stored routes 0 · k_eff
per-start legal-set sizes [—]
12×12 transition counts — an edge solidifies on the board when it crosses the powered membership bar (p ≥ 1.5/(K−1), power ≥ 2.5) LIVE

ACT 3 — THE WALKER composition, live — reads only the carved field p̂(t|s); no legal-set register anywhere in the walker

G 4
T 0.200
session tallies (mean over starts) LIVE
routes run 0
legality
novelty (of legal routes)
distinct routes per start (spread)
dial change resets tallies · route r from start s uses rng mb(50000 + s·1009 + r·97) — same seeds as the banked battery, so equal settings reproduce equal tallies

ACT 4 — THE IMPOSTORS the controls are the show

at the walker’s dials: G 4 · T 0.200 · 120 routes/start each, same starts side by side · every lane number below is LIVE
BOUND = route-level within-legal TV vs uniform-over-legal (Phase-2 kernel) · live: LIVE · banked: walker 0.577 vs uniform 0.023 (z 17) BANKED (world 3101)
LEGAL leg is powered vs an unconstrained-floor reference (uniform over all K−1, seed base 60000) run alongside the lanes · resolution needs z ≥ 2.5 AND the banked effect floor (NOV ≥ 0.50, LEG ≥ 0.10, TV ≥ 0.05, spread > 1.5); “–” = unresolved