Physics – Quantum Physics
Scientific paper
2008-08-22
Gen.Rel.Grav.42:303-346,2010
Physics
Quantum Physics
42 pages LaTeX, no figures; v2 shortened and minor changes
Scientific paper
10.1007/s10714-009-0845-3
We develop an extension of Bohmian mechanics by defining Bohm-like trajectories for quantum particles in a curved background space-time containing a spacelike singularity. As an example of such a metric we use the Schwarzschild metric, which contains two spacelike singularities, one in the past and one in the future. Since the particle world lines are everywhere timelike or lightlike, particles can be annihilated but not created at a future spacelike singularity, and created but not annihilated at a past spacelike singularity. It is argued that in the presence of future (past) spacelike singularities, there is a unique natural Bohm-like evolution law directed to the future (past). This law differs from the one in non-singular space-times mainly in two ways: it involves Fock space since the particle number is not conserved, and the wave function is replaced by a density matrix. In particular, we determine the evolution equation for the density matrix, a pure-to-mixed evolution equation of a quasi-Lindblad form. We have to leave open whether a curvature cut-off needs to be introduced for this equation to be well defined.
No associations
LandOfFree
Bohmian Mechanics at Space-Time Singularities. II. Spacelike Singularities 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 Bohmian Mechanics at Space-Time Singularities. II. Spacelike Singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bohmian Mechanics at Space-Time Singularities. II. Spacelike Singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-185648