Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-08-31
Gen.Rel.Grav.37:1505-1515,2005
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex, 14 pages; plenary talk presented at the 4th Australasian Conference on General Relativity and Gravitation (Melbourne, J
Scientific paper
10.1007/s10714-005-0131-y
The assumption that an ensemble of classical particles is subject to nonclassical momentum fluctuations, with the fluctuation uncertainty fully determined by the position uncertainty, has been shown to lead from the classical equations of motion to the Schroedinger equation. This 'exact uncertainty' approach may be generalised to ensembles of gravitational fields, where nonclassical fluctuations are added to the field momentum densities, of a magnitude determined by the uncertainty in the metric tensor components. In this way one obtains the Wheeler-DeWitt equation of quantum gravity, with the added bonus of a uniquely specified operator ordering. No a priori assumptions are required concerning the existence of wavefunctions, Hilbert spaces, Planck's constant, linear operators, etc. Thus this approach has greater transparency than the usual canonical approach, particularly in regard to the connections between quantum and classical ensembles. Conceptual foundations and advantages are emphasised.
No associations
LandOfFree
Exact uncertainty approach in quantum mechanics and quantum gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact uncertainty approach in quantum mechanics and quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact uncertainty approach in quantum mechanics and quantum gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-689197