Emergence of General Relativity from Loop Quantum Gravity

Abstract

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.

83 pages MikteX file with 3 pdf figures. Ph.D. Thesis. Using arbitrary real Immirzi parameter and recovering the symmetry algebra, this work is significantly improved from its previous version. Details of the model are also given in the content

References in corpus (4)

• Loop quantum cosmology and slow roll inflation
• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Quantum constraints, Dirac observables and evolution: group averaging versus Schroedinger picture in LQC

Cited by in corpus (1)

• Emergence of General Relativity from Loop Quantum Gravity: A Summary