Observability and Geometry in Three dimensional quantum gravity

Details Observability and Geometry in Three dimensional quantum gravity Observability and Geometry in Three dimensional quantum gravity

2004-02-25

arxiv.org/abs/gr-qc/0402113v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the procedings of the Third International Symposium on Quantum Theory and Symmetries (QTS3), September 2003

Scientific paper

We consider the coupling between massive and spinning particles and three dimensional gravity. This allows us to construct geometric operators (distances between particles) as Dirac observables. We quantize the system a la loop quantum gravity: we give a description of the kinematical Hilbert space and construct the associated spin-foam model. We construct the physical disctance operator and consider its quantization.

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