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GR: Gravitation und Relativitätstheorie
GR 403: Quantengravitation: Loops
GR 403.5: Talk
Thursday, March 23, 2006, 15:20–15:40, K
Discrete Geometry from Loop Quantum Gravity? — •Johannes Brunnemann1 and David Rideout2 — 1MPI fuer Gravitationsphysik, Am Muehlenberg 1, 14476 Potsdam (Golm), GERMANY — 2Imperial College London, South Kensington campus, Prince Consort Road, London SW7 2AZ, UK
A quantum theory of gravity is expected to contain a discrete geometrical structure at scales close to the Planck length ℓP. In this talk we will present first results of a detailed study towards answering this question within the framework of Loop Quantum Gravity (LQG). Here the operator V corresponding to the classical expression of the volume V(R) of a spatial region R plays a central role: it nicely relates classical geometrical properties to the abstract combinatorical structure of LQG, moreover it is a crucial object to enable calculations in order to gain information about physical properties of the full theory.