N-Observer Session Forking in an Unencumbered Room: A flexibility gate, a synthetic proxy, and active pre-cancellation when one observer carries a separate goal

N simulated observers share a two-dimensional state in an unencumbered room, evaluated at N=8, N=24, and N=64 using a forward Euler integration with a step of 0.01s from t=0 to t=60s. Observer 1 starts at (3.6, 3.4) carrying a permanent separate goal, while the other observers and the proxy start at (1.2, 1.2). Six distinct control laws govern the plant- comparing majority command, damped command, hard fork, held threshold, fork with a synthetic proxy, and an irreversible latch. Results demonstrate how active pre-cancellation, proxy lag, and invariant latching preserve trajectory boundaries and maintain dopamine-driven flexibility across scaling room sizes.