## How can you treat a noncommutative model of space-time

as a physicist i know how to define the concepts such as derivatives integrals and so on, the problem comes when one has a noncommutative space so $$[x_a , x_b ] = \theta _{ab}$$ how can you define an area or Volume ?? or also , in case space is noncommutative do divergences dissapear ?
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 Tags noncommutative, noncommutative space