# A question on noncommutative geometry

1. Nov 17, 2008

### mhill

my question is , let be x and y the sides of a rectangle, or let be 'r' and h the radius and height of a cilinder, if we imposed the condition that the commutators

$$[x,y]$$ and $$[r,h]$$ are different from 0 then

could we 'draw' a rectangle or a cilinder or would we have a similar 'Uncertainty principle' similar to Heisenberg's that would avoid measuring the Areas of rectangles and cilinders?

another question, if x and y do not commute , how can you define

$$\iint_{D} f(x,y)dxdy$$ ?? where 'D' would be a curve that depends on x and y