Emergence of General Relativity from Loop Quantum Gravity

Details Emergence of General Relativity from Loop Quantum Gravity Emergence of General Relativity from Loop Quantum Gravity

2009-12-03

arxiv.org/abs/0912.0554v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

83 pages MikteX file with 3 pdf figures. Ph.D. Thesis. Using arbitrary real Immirzi parameter and recovering the symmetry alge

Scientific paper

A model is proposed to demonstrate that classical general relativity can emerge from loop quantum gravity, in a relational description of gravitational field in terms of coordinates given by matter. Local Dirac observables and coherent states are defined to explore physical content of the model. Expectation values of commutators between the observables for the coherent states recover the four-dimensional diffeomorphism algebra and the large-scale dynamics of the gravitational field relative to the matter coordinates. Both results conform with general relativity up to calculable corrections near singularities.

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