Multiple-event probability in general-relativistic quantum mechanics

Details Multiple-event probability in general-relativistic quantum mechanics Multiple-event probability in general-relativistic quantum mechanics

2006-10-27

arxiv.org/abs/gr-qc/0610140v1

Phys.Rev.D75:084033,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.75.084033

We discuss the definition of quantum probability in the context of "timeless" general--relativistic quantum mechanics. In particular, we study the probability of sequences of events, or multi-event probability. In conventional quantum mechanics this can be obtained by means of the ``wave function collapse" algorithm. We first point out certain difficulties of some natural definitions of multi-event probability, including the conditional probability widely considered in the literature. We then observe that multi-event probability can be reduced to single-event probability, by taking into account the quantum nature of the measuring apparatus. In fact, by exploiting the von-Neumann freedom of moving the quantum classical boundary, one can always trade a sequence of non-commuting quantum measurements at different times, with an ensemble of simultaneous commuting measurements on the joint system+apparatus system. This observation permits a formulation of quantum theory based only on single-event probability, where the results of the "wave function collapse" algorithm can nevertheless be recovered. The discussion bears also on the nature of the quantum collapse.

Affiliated with

Also associated with

No associations

Rating

Multiple-event probability in general-relativistic quantum mechanics 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 Multiple-event probability in general-relativistic quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiple-event probability in general-relativistic quantum mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169305