Graduate Student Proves a Quantum Uncertainty Principle for Fractals

At the quantum scale, tiny particles behave in bizarre ways. One reason for this is the uncertainty principle, which says 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. The new uncertainty principle relates to fractals, shapes that remain equally complex no matter how much you zoom in on them. Around a decade ago, Semyon Dyatlov was studying whether quantum particles behave differently than ordinary particles when put into the same chaotic situations. Sometimes, an object moving chaotically can become trapped into following a fractal-like...