Time and a physical Hamiltonian for quantum gravity

Details Time and a physical Hamiltonian for quantum gravity Time and a physical Hamiltonian for quantum gravity

2011-08-04

arxiv.org/abs/1108.1145v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, version to appear in Phys. Rev. Lett

Scientific paper

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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