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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.
3
votes
Questions about Quantization and Noncommutative Geometry
Here is an answer which might be more at home on MathOverflow: I don't think there's any significant relationship between non-commutative geometry and gauge quantization. They're not really the same …
4
votes
Is the 125 GeV Higgs boson some kind of a "almost-commutative graviton" at the electroweak s...
Is the observation of only one Higgs and no supersymmetric particle below 8 TeV (up to now) a sufficient evidence to substantiate the almost commutative spectral model?
No, absolutely not. The Chamse …