How Repeated Moments of Alignment Build Coupling and Lead Drifting Systems Into Synchronization
This paper studies how synchronization can emerge even when a system begins in a state where synchronization is not immediately possible. In classical phase-oscillator models, drifting systems remain unlocked unless coupling is already strong enough to overcome detuning. Here, the coupling is not fixed in advance. Instead, it grows through an internal accumulation process: as the oscillators repeatedly pass through brief moments of compatibility, hidden variables integrate that exposure and gradually amplify the effective coupling between them. The result is a conditional pathway from drift to capture, in which synchronization becomes possible only after sufficient compatibility has accumulated within the system itself.
Ori Manzur
reBORN Research Initiative