Solving the Problem of Time in Mini-superspace: Measurement of Dirac Observables

Details Solving the Problem of Time in Mini-superspace: Measurement of Dirac Observables Solving the Problem of Time in Mini-superspace: Measurement of Dirac Observables

2009-02-09

arxiv.org/abs/0902.1551v1

Phys.Rev.D79:084016,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, ReVTeX

Scientific paper

10.1103/PhysRevD.79.084016

One solution to the so-called problem of time is to construct certain Dirac observables, sometimes called evolving constants of motion. There has been some discussion in the literature about the interpretation of such observables, and in particular whether single Dirac observables can be measured. Here we clarify the situation by describing a class of interactions that can be said to implement measurements of such observables. Along the way, we describe a useful notion of perturbation theory for the rigging map eta of group averaging (sometimes loosely called the physical state "projector"), which maps states from the auxiliary Hilbert space to the physical Hilbert space.

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