title: Time and a physical Hamiltonian for quantum gravity.
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.
authors.affiliation: Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, Canada E3B 5A3. vhusain@unb.ca
authors.forename: Viqar
authors.initials: V
authors.lastname: Husain
authors.forename: Tomasz
authors.initials: T
authors.lastname: Pawłowski