I think we're interpreting the link you provided differently. The way I read it, the author is taking the analogy between the Fourier Uncertainty and the Heisen

I think we're interpreting the link you provided differently. The way I read it, the author is taking the analogy between the Fourier Uncertainty and the Heisenburg Uncertainty and extending it to a similar analogy between the Nyquist Theorem and Brillouin Zones.