Otto Kong
Noncommutative Geometry from the Perspective of Quantum Physics
The phase spaces of quantum physics have been appreciated as noncommutative symplectic geometry. Realizing Dirac's notion of q-numbers in a concrete manner, we have a picture of quantum mechanics as particle dynamics on a noncommutative geometric model of spacetime which we argue to be a candidate of the simplest noncommutative number manifold that could serve as the starting point to construct a geometric language for the geometries. Implications for a proper theory of quantum gravity will be discussed.
