Addendum: Post Entry Structure: Evidence for a Five Step Clocked Regime

Following the completion of the entry sequence, the system does not relax into stochastic drift or a broad Markovian state space. Instead, the subsequent 15‑step segment exhibits a highly constrained and internally coherent structure. The sequence is dominated by repeated instances of the five‑step unit (3,0,0,0,2), a motif already enriched during the transition phase, and shows a complete absence of state 1 across all substring lengths. Harmonic analysis of the binary projection reveals a strong periodic component with a fundamental period of five steps, confirmed independently by autocorrelation peaks at lags 5 and 10 and a dominant DFT frequency of 0.2 cycles/step. These features indicate that the system enters a clocked, deterministic regime immediately after the transition, governed by a stable five‑step cycle rather than random fluctuations.