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**Gryb, Sean and Thébault, Karim P. Y. (28. March 2013): Symmetry and Evolution in Quantum Gravity.**

**Full text not available from 'Open Access LMU'.**

## Abstract

We propose an operator constraint equation for the wavefunction of the Universe that admits genuine evolution. While the corresponding classical theory is equivalent to the canonical decomposition of General Relativity, the quantum theory makes predictions that are distinct from Wheeler-DeWitt cosmology. Furthermore, the local symmetry principle - and corresponding observables - of the theory have a direct interpretation in terms of a conventional gauge theory, where the gauge symmetry group is that of spatial conformal diffeomorphisms (that preserve the spatial volume of the Universe). The global evolution is in terms of an arbitrary parameter that serves only as an unobservable label for successive states of the Universe. Our proposal follows unambiguously from a suggestion of York whereby the independently specifiable initial data in the action principle of General Relativity is given by a conformal geometry and the spatial average of the York time on the spacelike hypersurfaces that bound the variation. Remarkably, such a variational principle uniquely selects the form of the constraints of the theory so that we can establish a precise notion of both symmetry and evolution in quantum gravity

Item Type: | Journal article |
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Form of publication: | Preprint |

Faculties: | Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Philosophy of Physics |

Subjects: | 100 Philosophy and Psychology > 100 Philosophy |

Language: | English |

Item ID: | 17428 |

Date Deposited: | 08. Nov 2013, 10:57 |

Last Modified: | 29. Apr 2016, 09:14 |