# Dust as a standard of space and time in canonical quantum gravity.

@article{Brown1995DustAA, title={Dust as a standard of space and time in canonical quantum gravity.}, author={Brown and Kuchar}, journal={Physical review. D, Particles and fields}, year={1995}, volume={51 10}, pages={ 5600-5629 } }

The coupling of the metric to an incoherent dust introduces into spacetime a privileged dynamical reference frame and time foliation. The comoving coordinates of the dust particles and the proper time along the dust worldlines become canonical coordinates in the phase space of the system. The Hamiltonian constraint can be resolved with respect to the momentum that is canonically conjugate to the dust time. Formal imposition of the resolved constraint as an operator restriction on the quantum… Expand

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