Fractional and noncommutative spacetimes

Details Fractional and noncommutative spacetimes Fractional and noncommutative spacetimes

2011-07-26

arxiv.org/abs/1107.5308v2

Phys. Rev. D 84, 125002 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. v2: typos corrected

Scientific paper

10.1103/PhysRevD.84.125002

We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For a fractional spacetime with log-oscillatory measure, the effective measure near the fundamental scale determining the log-period coincides with the non-rotation-invariant but cyclicity-preserving measure of \kappa-Minkowski. At scales larger than the log-period, the fractional measure is averaged and becomes a power-law with real exponent. This can be also regarded as the cyclicity-inducing measure in a noncommutative spacetime defined by a certain nonlinear algebra of the coordinates, which interpolates between \kappa-Minkowski and canonical spacetime. These results are based upon a braiding formula valid for any nonlinear algebra which can be mapped onto the Heisenberg algebra.

Affiliated with

Also associated with

No associations

Rating

Fractional and noncommutative spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional and noncommutative spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional and noncommutative spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-112218