Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-07-24
Int.J.Mod.Phys. D5 (1996) 179-192
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages (LATEX), 5 figures (EPS)
Scientific paper
Self-collision of a non-relativistic classical point-like body, or particle, in the spacetime containing closed time-like curves (time-machine spacetime) is considered. A point-like body (particle) is an idealization of a small ideal elastic billiard ball. The known model of a time machine is used containing a wormhole leading to the past. If the body enters one of the mouths of the wormhole, it emerges from another mouth in an earlier time so that both the particle and its "incarnation" coexist during some time and may collide. Such self-collisions are considered in the case when the size of the body is much less than the radius of the mouth, and the latter is much less than the distance between the mouths. Three-dimensional configurations of trajectories with a self-collision are presented. Their dynamics is investigated in detail. Configurations corresponding to multiple wormhole traversals are discussed. It is shown that, for each world line describing self-collision of a particle, dynamically equivalent configurations exist in which the particle collides not with itself but with an identical particle having a closed trajectory (Jinnee of Time Machine).
Mensky Michael B.
Novikov Igor D.
No associations
LandOfFree
Three-Dimensional Billiards with Time Machine 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 Three-Dimensional Billiards with Time Machine, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-Dimensional Billiards with Time Machine will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-106158