Non-Causal Spacetimes| Non-Causal Spacetimes |
In General > s.a. causality conditions;
causality violations [including time machines].
* Consequences: If closed timelike
curves existed, quantum computers would be no more powerful than classical computers.
@ General references:
Tipler PRD(74),
PRL(76);
Penrose in(79);
Thorne in(91);
Deser & Steif gq/92 [3D results];
Blau AJP(98)mar [and topology change];
Romero & Torres MPLA(01)gq [consistency];
Garay & González-Díaz GRG(01) [and quantum gravity];
Bonnor IJMPD(03)gq/02 [conceptual];
Lobo & Crawford gq/02-conf [rev];
Shore IJMPA(03)gq/02 [rev];
Susskind gq/05 [unlikely],
rebuttal gq/05;
Monroe FP(08)gq/06 [and topology];
Bonnor GRG(09) [size of region for spinning bodies];
Lobo a1008-in;
Tippett & Tsang a1310 [for lay readers].
@ Paradoxes:
Krasnikov PRD(97)gq/96,
PRD(02)gq/01;
Dowe PhSc(07)dec;
Hauser & Shoshany PRD(20)-a1911 [resolutions];
Rovelli a1912 [and the physics of irreversible phenomena];
> s.a. causality violations in quantum theory;
Grandfather Paradox.
@ In other theories of gravity: Rebouças & Santos a1007-MG12 [in f(R) gravity];
> s.a. torsion in physical theories [f(T) theories].
Examples, Special Types
> s.a. gödel spacetime; Misner Space;
types of spacetimes [3D flat]; wormholes [including Krasnikov tube].
@ Examples: Chamblin et al PRD(94),
Yurtsever GRG(05)gq/94 [Politzer spacetime];
Caldarelli et al JHEP(01) [in AdS5];
Bonnor CQG(02) [asymptotically flat example],
Rebouças & Teixeira IJMPA(98)gq [Kaluza-Klein theory];
Olum & Everett FPL(05) [re circulating light beam];
Bonnor & Steadman GRG(05) [Einstein-Maxwell];
Rosa & Letelier in(10)-a0706 [cylindrical with spinning sources, stability of closed timelike curves];
Grøn & Johannesen a1005 [stationary cylindrically symmetric with matter];
Pavan PhD(10)-a1005 [cylindrically symmetric, stationary];
Prezens a1008 [Kramer-Neugebauer double Kerr solution];
Sarma et al a1203,
AP(13)
[vacuum spacetime locally isometric to a plane-wave spacetime with closed null geodesics];
Ho & Weiler MPLA(13)-a1209 [model that avoids pathologies];
Tippett & Tsang a1310 [and time travel];
Ahmed CTP(17)-a1712 [type-D, non-vacuum spcetime];
Fermi & Pizzocchero CQG(18)-a1803,
Fermi a1812-proc [with geodesic CTCs].
@ Initial-value problem:
Friedman & Morris PRL(91),
in(91) [massless wave equation];
Fewster et al PRD(96)gq;
Friedman gq/04-in [rev];
Aref'eva et al TMP(08) [waves];
Dolanský & Krtouš PRD(10)-a1011 [classical billiard].
@ Chronology protection: Hawking PRD(92);
Visser PRD(93),
NPB(94)ht/93;
Cassidy & Hawking PRD(98)ht/97 [models];
Huang PRD(99)ht/02 [in Gödel spacetime];
Hiscock gq/00;
Visser gq/02-conf [rev];
Friedman & Higuchi AdP(06)-a0801 [rev];
Monroe gq/06 [censorship];
Segre gq/06 [comment];
Raeymaekers et al JHEP(10)-a0911 [and unitarity, via the AdS/CFT correspondence];
Raeymaekers JHEP(11)-a1106,
JPCS(12)-a1111 [stationary 3D spacetimes];
Czachor a1805 [interferometric analogue];
> s.a. wormholes.
@ And singularities: Maeda & Ishibashi PRD(97) [spatially compact].
@ And energy conditions: Ori PRL(91),
PRL(93);
Olum PRL(98)gq;
Visser et al NPPS(00)gq/98;
Baird gq/99;
Sengupta PRD(18)-a1805.
@ And computation:
Durham a0803 [and quantum information];
Andréka et al PPL(12)-a1105 [relativistic computation];
Brun & Wilde FP(17)-a1504 [information-processing protocols and simulations];
Aaronson et al a1609 [Turing machines equipped with time travel into the past];
Bartkiewicz et al PRA(19)-a1711 [and the second law of thermodynamics];
> s.a. quantum computers.
@ Related topics:
Cooperstock & Tieu gq/04,
FP(05) [misconceived article?];
Hadley gq/06-MGXI [and quantum theory];
Ralph a1107;
Pienaar et al PRA(11)-a1110 [and quantum field theory];
Yuan et al NPJQI(15)-a1412 [benefits of closed timelike curves without breaking causality];
Minguzzi CQG(16)-a1603 [boundary of the chronology-violating set];
Mulder & Dieks a1704 [determinism and indeterminism];
> s.a. klein-gordon fields; locality [relative locality].
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