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- Closed_timelike_curve abstract "In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime that is "closed", returning to its starting point. This possibility was first raised[citation needed] by Kurt Gödel in 1949, who discovered a solution to the equations of general relativity (GR) allowing CTCs known as the Gödel metric; and since then other GR solutions containing CTCs have been found, such as the Tipler cylinder and traversable wormholes. If CTCs exist, their existence would seem to imply at least the theoretical possibility of time travel backwards in time, raising the spectre of the grandfather paradox, although the Novikov self-consistency principle seems to show that such paradoxes could be avoided. Some physicists speculate that the CTCs which appear in certain GR solutions might be ruled out by a future theory of quantum gravity which would replace GR, an idea which Stephen Hawking has labeled the chronology protection conjecture. Others note that if every closed timelike curve in a given space-time passes through an event horizon, a property which can be called chronological censorship, then that space-time with event horizons excised would still be causally well behaved and an observer might not be able to detect the causal violation.".
- Closed_timelike_curve thumbnail Tilted_light_cone.png?width=300.
- Closed_timelike_curve wikiPageExternalLink timetravel.htm.
- Closed_timelike_curve wikiPageID "287091".
- Closed_timelike_curve wikiPageRevisionID "593615177".
- Closed_timelike_curve hasPhotoCollection Closed_timelike_curve.
- Closed_timelike_curve subject Category:Lorentzian_manifolds.
- Closed_timelike_curve subject Category:Time_travel.
- Closed_timelike_curve type Artifact100021939.
- Closed_timelike_curve type Conduit103089014.
- Closed_timelike_curve type LorentzianManifolds.
- Closed_timelike_curve type Manifold103717750.
- Closed_timelike_curve type Object100002684.
- Closed_timelike_curve type Passage103895293.
- Closed_timelike_curve type PhysicalEntity100001930.
- Closed_timelike_curve type Pipe103944672.
- Closed_timelike_curve type Tube104493505.
- Closed_timelike_curve type Way104564698.
- Closed_timelike_curve type Whole100003553.
- Closed_timelike_curve type YagoGeoEntity.
- Closed_timelike_curve type YagoPermanentlyLocatedEntity.
- Closed_timelike_curve comment "In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime that is "closed", returning to its starting point. This possibility was first raised[citation needed] by Kurt Gödel in 1949, who discovered a solution to the equations of general relativity (GR) allowing CTCs known as the Gödel metric; and since then other GR solutions containing CTCs have been found, such as the Tipler cylinder and traversable wormholes.".
- Closed_timelike_curve label "Closed timelike curve".
- Closed_timelike_curve label "Curva cerrada de tipo tiempo".
- Closed_timelike_curve label "Curva spaziotemporale chiusa di tipo tempo".
- Closed_timelike_curve label "Gesloten tijdachtige kromme".
- Closed_timelike_curve label "Zamknięte krzywe czasopodobne".
- Closed_timelike_curve label "Замкнутая времениподобная кривая".
- Closed_timelike_curve label "封閉類時曲線".
- Closed_timelike_curve sameAs Curva_cerrada_de_tipo_tiempo.
- Closed_timelike_curve sameAs Curva_spaziotemporale_chiusa_di_tipo_tempo.
- Closed_timelike_curve sameAs Gesloten_tijdachtige_kromme.
- Closed_timelike_curve sameAs Zamknięte_krzywe_czasopodobne.
- Closed_timelike_curve sameAs m.01q50p.
- Closed_timelike_curve sameAs Q1876815.
- Closed_timelike_curve sameAs Q1876815.
- Closed_timelike_curve sameAs Closed_timelike_curve.
- Closed_timelike_curve wasDerivedFrom Closed_timelike_curve?oldid=593615177.
- Closed_timelike_curve depiction Tilted_light_cone.png.
- Closed_timelike_curve isPrimaryTopicOf Closed_timelike_curve.