Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-08-16
Phys.Rev. D70 (2004) 124001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, RevTex
Scientific paper
10.1103/PhysRevD.70.124001
We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed states. The rate at which states decohere depends on the energy of the states. There is therefore the question of how this can be reconciled with Galilean invariance. More generally, since the relational description is based on objects that are not Dirac observables, the issue of covariance is of importance in the formalism as a whole. In this note we work out an explicit example of a totally constrained, generally covariant system of non-relativistic particles that shows that the formula for the relational conditional probability is a Galilean scalar and therefore the decoherence rate is invariant.
Gambini Rodolfo
Porto Rafael
Pullin Jorge
No associations
LandOfFree
Fundamental decoherence from relational time in discrete quantum gravity: Galilean covariance 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 Fundamental decoherence from relational time in discrete quantum gravity: Galilean covariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental decoherence from relational time in discrete quantum gravity: Galilean covariance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-646744