Towards a noncommutative version of Gravitation

Details Towards a noncommutative version of Gravitation Towards a noncommutative version of Gravitation

2010-03-29

arxiv.org/abs/1003.5407v1

Physics

Mathematical Physics

7 pages, to appear in the AIP proceedings of the "Invisible Universe International Conference", UNESCO-Paris, June 29-July 3,

Scientific paper

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.

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