Time and a physical Hamiltonian for quantum gravity |
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Authors: | Husain Viqar Pawłowski Tomasz |
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Institution: | Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, Canada E3B 5A3. vhusain@unb.ca |
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Abstract: | 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. |
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