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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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Do the canonical commutation relations have any connection to geometry?

I was wondering if the canonical commutation relations have any connection to geometry? If so, could you explain the connection in fairly simple and intuitive terms?
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