Meanwhile, in the mathematics of fractals…

Graduate Student Proves a Quantum Uncertainty Principle for Fractals quantamagazine.org

A graduate student has proved an uncertainty principle for fractals, showing that a quantum wave spread over an infinitely crinkled set cannot be sharply localized in both position and momentum. Colleagues are calling it foundational: it welds together quantum mechanics, chaos and fractal geometry, three fields that rarely share a page.