Symmetry and Evolution in Quantum Gravity

@article{Gryb2014SymmetryAE,
  title={Symmetry and Evolution in Quantum Gravity},
  author={Sean B. Gryb and Karim Th{\'e}baault},
  journal={Foundations of Physics},
  year={2014},
  volume={44},
  pages={305-348}
}
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 contains an evolution equation distinct from standard 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… 
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