December 14, 2003
Time machines
No one should accuse today's physicists of ignoring the problems we're all interested in. What could be more interesting than TIME TRAVEL?
Hint in reading the following: Roughly speaking, if there are "closed timelike curves," (CTCs), it means that in principle, time travel to the past is possible, and you could go back and shoot your grandpa. (Not that you would want to, of course).
From the conclusion to the paper
"Energy-Momentum Restrictions on the Creation of Gott Time Machines,''
by Sean M. Carroll, Edward Farhi, Alan H. Guth, and Ken D. Olum.
Complete paper:
http://arxiv.org/abs/gr-qc/9404065
The role played by closed timelike curves is an important issue in classical general relativity, and may be important in an ultimate quantum version of the theory. The general theorems of Tipler and Hawking are strong statements about the difficulty of creating CTC's, but incomplete in that they do not specify what will go wrong with any particular attempt at time machine construction. In this paper we have studied some specific obstacles to the creation of time machines of the type discovered by Gott [8], using the considerable simplification accorded by working in the toy model of (2+1)-dimensional gravity. These obstacles are most easily understood by considering the anti-de Sitter geometry of the 3-dimensional Lorentz group, in which we find that Gott time machines cannot lie to the past of collections of particles with timelike momentum and deficit angle less than 2 pi. We then use this fact to show that a Gott time machine cannot be created in an open universe with a timelike total momentum, essentially because there can never be enough energy in an open universe to achieve the Gott condition.OK, I knowit sounds like a negative result. It's at least encouraging that people are working on the right problem.
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