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arXiv · 1108.1145

Time and a physical Hamiltonian for quantum gravity

Viqar Husain·Tomasz Pawlowski
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Abstract

We present a non-perturbative 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 in technical reach applications to cosmology, quantum gravitational collapse and Hawking radiation.

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Viqar Husain, Tomasz Pawlowski. 2011-08-04. Time and a physical Hamiltonian for quantum gravity. https://doi.org/10.1103/physrevlett.108.141301

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