2006
DOI: 10.1002/andp.200510172
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Topological censorship and chronology protection

Abstract: Over the past two decades, substantial efforts have been made to understand the way in which physics enforces the ordinary topology and causal structure that we observe, from subnuclear to cosmological scales. We review the status of topological censorship and the topology of event horizons; chronology protection in classical and semiclassical gravity; and related progress in establishing quantum energy inequalities.Comment: Dedicated to Rafael Sorkin, whose tutoring and friendship from third grade on is res… Show more

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Cited by 21 publications
(22 citation statements)
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“…The new view of time presented by this model also discounts any possibility of closed timelike curves (a subject of ongoing debate: Hawking, 1992;Sushkov, 1995;Bonnor, 2003;Friedman and Higuchi, 2006). Threats to causality from any future scientific or technological developments are thus nonexistent from this perspective.…”
Section: Introductionmentioning
confidence: 92%
“…The new view of time presented by this model also discounts any possibility of closed timelike curves (a subject of ongoing debate: Hawking, 1992;Sushkov, 1995;Bonnor, 2003;Friedman and Higuchi, 2006). Threats to causality from any future scientific or technological developments are thus nonexistent from this perspective.…”
Section: Introductionmentioning
confidence: 92%
“…For recent empirical limits on global rotation based on the cosmic microwave background radiation, see, for example, Kogut et al (1997). 32 As Sheldon Smith pointed out to us, if this is taken to be Gödel's main argument then it is not clear why the mere existence of Minkowski spacetime, regarded as a vacuum solution of the field equations, does not suffice. Why did Gödel need to go to the effort of discovering the rotating model granted that there is no distinguished absolute time in Minkowski spacetime?…”
Section: Implications Of Time Travelmentioning
confidence: 99%
“…Note that the main use of topological censorship in the physics literature is proving results regarding the topology of black holes; see Friedman and Higuchi (2006) for further discussion and references.…”
Section: Censorship Theoremsmentioning
confidence: 99%
“…A number of theorems restrict the conditions under which horizons can have toroidal topology; for instance, the torus must close up fast enough so that no light ray from past null infinity can pass through the torus and reach future null infinity [7,8]. Additionally, it has been conjectured that for all toroidal horizons, a new spacetime foliation can be chosen so that the intersection of the horizon with each slice of the foliation has spherical topology [8].…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, it has been conjectured that for all toroidal horizons, a new spacetime foliation can be chosen so that the intersection of the horizon with each slice of the foliation has spherical topology [8].…”
Section: Introductionmentioning
confidence: 99%