This is really great. And it's more than just a neat analogy... in a very real sense, the momentum of a particle can be thought of as the fourier transform of the position (http://en.wikipedia.org/wiki/Momentum_space).
Hmm, nothing much new here (except fro the cool graphs and sounds). Didn't Gabor derive the uncertainty inequality between time and frequency a long time ago? Wavelets are the transforms that maximize that inequality, if I remember correctly.
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