Twisted differential geometry and dispersion relations in κ-noncommutative cosmology

Abstract:

One of the most studied possible phenomenological effect of quantum gravity is the modifications in wave dispersion. Thanks to the noncommutative deformations of wave equations in curved backgrounds we can investigate the propagation of waves in noncommutative cosmology and consider the modification of the dispersion relations due to noncommutativity combined with curvature of spacetime.

In the talk, I will follow the twisted differential geometry approach, give an overview of this framework and then focus on the results obtained by the Jordanian twist. The corresponding noncommutative spacetime is kappa-Minkowski considered in the presence of Friedman-Lemaitre-Robertson-Walker (FLRW) cosmological background.

mathematical physics

Audience: researchers in the topic

Noncommutative Geometry and Physics

Series comments: Noncommutative geometry is a very general mathematical paradigm arising from quantum mechanics. As such, it permeates different branches of mathematics and physics.

The series of monthly talks accompanies the special issue of Journal of Physics A and is intended to present the many facets of the emergence of noncommutativity in physics.

Past seminars can be viewed on YouTube channel.