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Ever thrown a rock down a sand dune and watched it snowball into chaos? That phenomenon has a name, and it is one of the most elegant examples of physics hiding in plain sight. What you are witnessing is called a granular avalanche, and it is governed by a concept known as self-organized criticality. Here is how it works: • Sand grains on a dune naturally settle at what physicists call the angle of repose, the steepest angle a granular surface can hold before it becomes unstable • That angle sits right at a critical threshold, meaning the system is perpetually on the edge of collapse • Your rock is the perturbation. It displaces a few grains, which displace more grains, which displace even more, each interaction transferring momentum and destabilizing the layer beneath it • The result is a cascading chain reaction where a tiny input generates a disproportionately large output, a hallmark of nonlinear dynamics This concept was famously modeled by physicist Per Bak in 1987 through...

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