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Non-commutative geometry deals with spaces where the uncertainty principle of quantum mechanics thwarts even one's ability to simultaneously measure two position co-ordinates. It finds applications in models where geometry is emergent including the matrix model approach to string theory.

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115 GeV, 170 GeV, and the non-commutative standard model

I just noticed that this question was still unanswered. As far as I can recall, the logic in Chamseddine-Connes-Marcolli was very straight: to get values for the SM parameters at GUT scale, and then r …
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