Graduate Student Proves a Quantum Uncertainty Principle for Fractals
A new mathematical proof extends the fractal uncertainty principle to all higher dimensions, revealing a fundamental difference between quantum and classical chaos. Alex Cohen, a graduate student at MIT, solved a problem that stumped experts for nearly a decade, using insights from the late mathematician Jean Bourgain. The result, published in the Annals of Mathematics, has been hailed as a foundational achievement.
So there’s something different about quantum and classical [chaos], and one ingredient that you can try to use for that would be uncertainty principles.