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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 14: Quantengravitation und Quantengravitationsphänomenologie (gemeinsam mit GR)

MP 14.3: Invited Talk

Wednesday, March 30, 2011, 18:15–19:00, 20.40: 101

Geometry and Observables in three-dimensional (Quantum) Gravity — •Catherine Meusburger — Fachbereich Mathematik, Bereich AZ, Universität Hamburg, Bundesstraße 55, 20146 Hamburg

Three-dimensionsional gravity serves as a model in which fundamental questions of quantum gravity can be investigated in a fully and rigorously quantised theory. A central question for its interpretation is the relation between the fundamental diffeomorphism invariant observables of the theory and the geometry of the spacetimes. We show how these observables can be related to concrete measurements by observers in terms of lightrays. These measurements allow the observer to fully determine the geometry of the spacetime in finite eigentime.