Noncommutative Geometries: an overview

Claudio Perini (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

I make a very introductory overview of noncommutative geometries, focusing on the DFR model for Minkowski space; in this model the noncommutativity, or “fuzziness”, of spacetime events emerges at semiclassical level putting together the Heisenberg principle with general relativity.

Mots clés: Noncommutative geometry; Quantum gravity

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Claudio Perini. Noncommutative Geometries: an overview. International Journal of Modern Physics A, 2008, 23 (8), pp.1253-1256. ⟨10.1142/S0217751X08040172⟩. ⟨hal-00471467⟩