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Math grad student at UCLA

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comment The physics community's take on noncommutative geometry
If you are wondering about the use of noncommutative geometry in physics in general, I think that the most down-to-Earth use is probably Bellissard's use of NCG to explain the integer quantum hall effect. As far as I know, it is the only model of the integer quantum hall effect that takes into account all physical phenomena that are actually present. The Non-Commutative Geometry of the Quantum Hall Effect