This note studies how self-history feedback alters an endogenous flip clock in a simple self-interacting lattice walker with an internal heading. In baseline ambient-off runs, the walker forms a pre-move decision field from its accumulated wake, selects cardinal moves by a cost-normalized score, and then deposits an oriented body-frame stencil whose spread contribution enters the wake field for later steps. The resulting baseline dynamics exhibit an endogenous flip clock, with the first heading flip at step 5 and strictly periodic subsequent reversals. Here we add only a completion field constructed from the walker’s accumulated self-history and fed into the pre-move decision field with coupling strength β. This field acts as a phase-sensitive controller of the clock. When active from step 1, it preempts the onset flip and collapses walker motion onto a straight-heading branch. When activated after flip onset, it produces a threshold response: below threshold the baseline clock survives unchanged, while above threshold only the onset flip remains and the next scheduled recurrence is suppressed. Within the extended ansatz that allows a lagged reorientation of the body stencil, we find an intermediate regime in which one scheduled recurrence survives while the next is suppressed. Activation-timing tests further show that switching completion on at or just after a recurrence can selectively suppress that recurrence or the following one. These results identify self-history completion as a phase-timed control field for an endogenous clock.
John Robert James (Thu,) studied this question.