Each completed cycle generates something that was not there before. The cycle is a spiral, not a circle. The thresholds between states are irreversible; without them, the system would oscillate rather than accumulate. This property has been empirically confirmed in nanocrystal recrystallisation data, where successive dissolution-recrystallisation cycles produced measurably higher informational order with each cycle.
When the nesting goes deep enough and the system's output loops back as its own input, a new property emerges: the system begins to observe itself. The trigger is the moment the system's output becomes its own input. The brain sends a command. The body moves. The senses detect the movement. The brain compares what it expected with what actually happened. The mismatch is the first self-information — the persistence-drift loop turned inward. The system that knows itself is the system that can never finish knowing itself, because the act of modelling is itself a change to the system being modelled.