Cabinet of emergence — specimen 08
100 oscillators, each ticking at its own natural rhythm — no two exactly alike, drawn from a spread of frequencies. Each one nudges toward the current average phase of the whole group, weakly. No conductor, no oscillator aware of more than the group average. The question: at what coupling strength does the crowd stop ticking independently and snap into a shared rhythm? Theory gives an exact answer for this exact setup: K ≈ 2.0.
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r = 0 means phases are scattered randomly around the circle. r = 1 means every oscillator ticks in lockstep. The gold arrow shows the group's mean phase, scaled by r.