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Manfred comments on Irrationality Game II - Less Wrong Discussion
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Irrationality game comment:
Imagine that we transformed the Universe using some elegant mathematical mapping (think about Fourier transform of the phase space) or that we were able to see the world through different quantum observables than we have today (seeing the world primarily in the momentum space, or even being able to experience "collapses" to eigenvectiors not of x or p, but of a different, for us unobservable, operator, e.g. xp). Then, we would observe complex structures, perhaps with their own evolution and life and intelligence. That is, aliens can be all around us but remain as invisible as Mona Lisa on a Fourier transformed picture from Louvre.
Probability : 15%.
Any blob (continuous, smooth, rapidly decreasing function) in momentum space corresponds to a blob in position space. That is, you can't get structure in one without structure in the other.