Stability of Closed Time-Like Curves: Current Status?

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Discussion Overview

The discussion centers on the stability of closed time-like curves (CTCs) in the context of general relativity, exploring theoretical implications, potential models, and the current understanding of related issues such as vacuum fluctuations and energy conditions. Participants reference both artificial constructs like traversable wormholes and cosmological solutions, including the Gödel universe.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant recalls that attempts to create CTCs may be hindered by vacuum fluctuations leading to instability, referencing work by Misner and Taub.
  • Another participant mentions that while stability issues have been discussed in artificial scenarios, cosmological solutions like the Gödel universe may not be subject to the same constraints.
  • A question is raised regarding whether the stability problem applies to Ron Mallett's proposed time machine, suggesting that it may not be affected by the same issues.
  • Concerns are expressed about the feasibility of Mallett's proposal, noting that any finite version would require exotic matter and that there is no known mechanism for producing such matter, with references to peer-reviewed critiques of his work.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of stability issues to various models of CTCs, particularly in relation to Mallett's proposal. There is no consensus on the current status of these discussions, and multiple competing views remain.

Contextual Notes

Limitations include the dependence on specific definitions of stability and energy conditions, as well as unresolved questions regarding the production of exotic matter in the context of proposed models.

ksy
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I remember reading something, long ago, to the effect that any attempt at creating a CTC would be doomed by energy from vacuum fluctuations piling up through it and leading to explosive behavior (I think the idea originated in work done by Misner and Taub in 1969?).

Does anyone know what is the current status of this particular issue?

Thanks in advance!
 
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As far as I remember the stability issue has been discussed for artificial situations like traversable wormholes. But there are cosmological solutions like the Gödel where these ideas do not apply. Now one could argue that we do not live in a Gödel universe, therefore we do no need to care about it; but I think that there is no known principle or mechanism ruling such a global solution containing CTCs.
 
Thanks a lot to both of you. So the problem would not arise for a solution like the one Ron Mallett's machine is based on?
 
ksy said:
Thanks a lot to both of you. So the problem would not arise for a solution like the one Ron Mallett's machine is based on?

Any finite size version of Mallet's proposal that does not already contain a naked singularity is impossible without violating the weak energy condition. This means that some amount of exotic matter would be required, yet his machine provides no mechanism for its production (there is no known or even proposed method for producing anything except tiny amounts of matter/energy violating the weak energy condition). Basically, essentially all GR researches believe his proposal if formally refuted in peer reviewed papers he has never answered.
 
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