Locally Noncommutative Space-Times
arXiv:math/0607745 · doi:10.1142/S0129055X0700295X
Abstract
Localized noncommutative structures for manifolds with connection are constructed based on the use of vertical star products. The model's main feature is that two points that are far away from each other will not be subject to a deviation from classical geometry while space-time becomes noncommutative for pairs of points that are close to one another.
28 pages, 7 figures