Towards a noncommutative version of Gravitation
Mathematical Physics
2013-06-11 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
Alain Connes' noncommutative theory led to an interesting model including both Standard Model of particle physics and Euclidean Gravity. Nevertheless, an hyperbolic version of the gravitational part would be necessary to make physical predictions, but it is still under research. We shall present the difficulties to generalize the model from Riemannian to Lorentzian Geometry and discuss key ideas and current attempts.
Cite
@article{arxiv.1003.5407,
title = {Towards a noncommutative version of Gravitation},
author = {Nicolas Franco},
journal= {arXiv preprint arXiv:1003.5407},
year = {2013}
}
Comments
7 pages, to appear in the AIP proceedings of the "Invisible Universe International Conference", UNESCO-Paris, June 29-July 3, 2009