
How Math Brings Together Classical Chaos, Quantum Mechanics, and Fractals
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The uncertainty principle tells us that the more you know about where a quantum particle is, the less you can know about how fast it’s moving, and vice versa. In 2023, graduate student Alex Cohen stunned the math world when he posted a proof of the fractal uncertainty principle. The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.” On this episode of The Quanta Podcast, host Samir Patel speaks with writer Shalma Wegsman on this incredible breakthrough and how this principle has revealed a new deep way that quantum particles differ from classical ones. This topic was covered in a recent story for Quanta Magazine.…