The Synchronizing School · Program C · Kuramoto collective escape · the third transcode

Many bodies fall into the same tilted well. Each pumps its own rhythm — but they couple: every beat nudges toward the crowd's average (the Kuramoto model — how fireflies blink in unison). Turn coupling up and the chaos phase-locks: aligned bodies pump harder, and their shared rhythm raises the tear threshold — the school carves a channel and escapes together where a lone body would spaghettify. Order, emerging from a crowd.

coherence r0.00
coupling K2.6
escaped0
torn0
swinging0
drag COUPLING down to 0 → chaos · up → the school syncs and escapes
The order parameter r (0 = chaos, 1 = perfect sync) is drawn as the phase ring, top-right — each dot a body's beat, the arrow their collective rhythm. r drives both how hard they pump and how much tide they survive. Sync is the survival strategy. Your elephant, made mechanical: many bodies, one rhythm, escaping as one thing.