Time and a physical Hamiltonian for quantum gravity

We present a nonperturbative quantization of general relativity coupled to dust and other matter fields. The dust provides a natural time variable, leading to a physical Hamiltonian with spatial diffeomorphism symmetry. The surprising feature is that the Hamiltonian is not a square root. This proper...

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Bibliographic Details
Published in:Physical review letters 2012-04, Vol.108 (14), p.141301-141301, Article 141301
Main Authors: Husain, Viqar, Pawłowski, Tomasz
Format: Article
Language:English
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Summary:We present a nonperturbative quantization of general relativity coupled to dust and other matter fields. The dust provides a natural time variable, leading to a physical Hamiltonian with spatial diffeomorphism symmetry. The surprising feature is that the Hamiltonian is not a square root. This property, together with the kinematical structure of loop quantum gravity, provides a complete theory of quantum gravity, and puts applications to cosmology, quantum gravitational collapse, and Hawking radiation within technical reach.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.108.141301