The Puzzle of How Large-Scale Order Emerges in Complex Systems

The original version of this story appeared in Quanta Magazine.

A few centuries ago, the swirling polychromatic chaos of Jupiter’s atmosphere spawned the immense vortex that we call the Great Red Spot.

From the frantic firing of billions of neurons in your brain comes your unique and coherent experience of reading these words.

As pedestrians each try to weave their path on a crowded sidewalk, they begin to follow one another, forming streams that no one ordained or consciously chose.

The world is full of such emergent phenomena: large-scale patterns and organization arising from innumerable interactions between component parts. And yet there is no agreed scientific theory to explain emergence. Loosely, the behavior

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