Graduate Student Proves the Fractal Uncertainty Principle | Quanta Magazine

Graduate Student Proves a Quantum Uncertainty Principle for Fractals

The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.”

Ada Zejun Shen/Quanta Magazine

Introduction

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. Recently, this rule got a rare upgrade.