Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-09-24
Phys.Rev.D79:041501,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, no figures, RevTex
Scientific paper
10.1103/PhysRevD.79.041501
We combine the "evolving constants" approach to the construction of observables in canonical quantum gravity with the Page--Wootters formulation of quantum mechanics with a relational time for generally covariant systems. This overcomes the objections levied by Kucha\v{r} against the latter formalism. The construction is formulated entirely in terms of Dirac observables, avoiding in all cases the physical observation of quantities that do not belong in the physical Hilbert space. We work out explicitly the example of the parameterized particle, including the calculation of the propagator. The resulting theory also predicts a fundamental mechanism of decoherence.
Gambini Rodolfo
Porto Rafael
Pullin Jorge
Torterolo Sebastian
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