Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe?

Details Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe? Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe?

1998-06-24

arxiv.org/abs/quant-ph/9806083v1

Physics

Quantum Physics

32 pages, LaTex

Scientific paper

The problem of defining the boundary conditions for the universe is considered here in the framework of a classical dynamical theory, pointing out that a measure on boundary conditions must be included in the theory in order to explain the statistical regularities of evolution. It is then suggested that quantum statistical regularities also could derive from this measure. An explicit definition of such a measure is proposed, using both a simplified model of the universe based on classical mechanics and the non-relativistic quantum mechanics formalism. The peculiarity of such a measure is that it does not apply to the initial conditions of the universe, i.e. to the initial positions and momenta of particles, but to their initial and final positions, from which the path is derived by means of the least action principle. This formulation of the problem is crucial and it is supported by the observation that it is incorrect to liken the determination of the boundary conditions of the universe to the preparation of a laboratory system, in which the initial conditions of the system are obviously determined. Some possible objections to this theory are then discussed. Specifically, the EPR paradox is discussed, and it is explained by showing that, in general, a measure on the boundary conditions of the universe generates preinteractive correlations, and that in the presence of such correlations Bell's inequality can no longer be proven true. Finally, it is shown that if one broadens the dynamical scheme of the theory to encompass phenomena such as particle decay and annihilation, the least action principle allows for an indeterministic evolution of the system.

Affiliated with

Also associated with

No associations

Rating

Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe? 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 Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Could quantum statistical regularities derive from a measure on the boundary conditions of a classical universe? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656264