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Holographic dual of a time machine
High Energy Physics - Theory · Submitted 18 Aug 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In contrast with the previous considerations our calculations reveal the possibility of a consistent and controllable evolution of a quantum system without any need to impose additional consistency constraints.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We apply the $AdS/CFT$ holography to the simplest possible eternal time machine solution in $AdS_3$ based on two conical defects moving around their center of mass along a circular orbit. Closed timelike curves in this space-time extend all the way to the boundary of $AdS_3$, violating causality of the boundary field theory. By use of the geodesic approximation we address the "grandfather paradox" in the dual $1+1$ dimensional field theory and calculate the two-point retarded Green function. It has a non-trivial analytical structure both at negative and positive times, providing us with an intuition on how an interacting quantum field could behave once causality is broken. In contrast with the previous considerations our calculations reveal the possibility of a consistent and controllable evolution of a quantum system without any need to impose additional consistency constraints.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We apply the $AdS/CFT$ holography to the simplest possible eternal time machine solution in $AdS_3$ based on two conical defects moving around their center of mass along a circular orbit. | contribution 0.76 | 0.91 | 0.05 | asserted 0.97 |
| s1 | Closed timelike curves in this space-time extend all the way to the boundary of $AdS_3$, violating causality of the boundary field theory. | result 0.80 | 0.30 | 0.07 | asserted 1.00 |
| s2 | By use of the geodesic approximation we address the "grandfather paradox" in the dual $1+1$ dimensional field theory and calculate the two-point retarded Green function. | method 0.86 | 0.93 | 0.07 | asserted 0.99 |
| s3 | It has a non-trivial analytical structure both at negative and positive times, providing us with an intuition on how an interacting quantum field could behave once causality is broken. | interpretation 0.74 | 0.82 | 0.07 | asserted 0.94 |
| s4 | In contrast with the previous considerations our calculations reveal the possibility of a consistent and controllable evolution of a quantum system without any need to impose additional consistency constraints. | result 0.89 | 0.93 | 0.79 | hedged possibility 0.80 |
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The paper
Original abstract
We apply the $AdS/CFT$ holography to the simplest possible eternal time machine solution in $AdS_3$ based on two conical defects moving around their center of mass along a circular orbit. Closed timelike curves in this space-time extend all the way to the boundary of $AdS_3$, violating causality of the boundary field theory. By use of the geodesic approximation we address the "grandfather paradox" in the dual $1+1$ dimensional field theory and calculate the two-point retarded Green function. It has a non-trivial analytical structure both at negative and positive times, providing us with an intuition on how an interacting quantum field could behave once causality is broken. In contrast with the previous considerations our calculations reveal the possibility of a consistent and controllable evolution of a quantum system without any need to impose additional consistency constraints.
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References
How the literature uses it
11 arXiv papers cite this in 29 sentences
Papers citing it · 16 sentences without a confident label
Uses its method or tool 1 paper
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So, to use the geodesic approximation in calculation of two-point functions for timelike separated points, we use the prescription proposed in [ref] .
Holographic Dual to Conical Defects: I. Moving Massive Particle · Timelike separated points · 0.99
Compares with it 3 papers
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Correlators dual to AdS$_3$ with two particles were studied in global coordinates in [ref] , and they also exhibit such discontinuities.
Thermalization after holographic bilocal quench · Contribution of windings · 0.83
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Note, that in [ref] another parametrization for this geodesic has been used.
Holographic Dual to Conical Defects: I. Moving Massive Particle · Spacelike separated points · 0.96
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This is in contrast to the conical defect AdS$_3$ spacetime examined in [ref] , whose CTCs extend to the boundary.
Null Hypersurface Caustics, Closed Null Curves, and Super-Entropy · Transunital Kerr-AdS Black Hole · 1.00
Cites it as background 7 papers
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The geodesic prescription for particles in AdS$_3$ has been considered in [ref] . it is based around the fact that there can be several geodesics between two points in general, which differ in number of windings around the defect.
AdS/CFT prescription for angle-deficit space and winding geodesics · Geodesics image method for AdS-deficit spacetime · 0.89
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Similar problems have been investigated in the early papers [ref] for various models.
Holographic Dual to Conical Defects: II. Colliding Ultrarelativistic Particles · Introduction · 0.97
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Correlators in the theory dual to the Gott time machine in the $AdS_3$ have been investigated [ref] .
Holographic Dual to Conical Defects: I. Moving Massive Particle · Introduction · 0.95
What it cites · 7 sentences without a confident label
Uses the method or tool of 1 paper
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The way to implement the geodesic approximation for timelike separated boundary points in the single Poincaré patch has been suggested in [ref] .
Thermalization of the spectral function in strongly coupled two dimensional conformal field theories · Quasigeodesics connecting boundary points · 0.92
Cites as background 6 papers
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For a classical wave equation on a non-globally hyperbolic space with CTC the possibility of self-consistent dynamics was demonstrated in [ref] .
Cauchy Problem on Non-globally Hyperbolic Spacetimes · Introduction · 0.81
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For a classical wave equation on a non-globally hyperbolic space with CTC the possibility of self-consistent dynamics was demonstrated in [ref] .
On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold · Introduction · 0.81
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Since the renowned publication by Kurt Gödel [ref] a number of causality violating solutions in GR as well as in modified theories of gravity have been constructed, among which we can name the Tipler-Van Stockum time machine generated by axially rotating distribution of particles [ref] , [ref] , the Morris-Thorne-Yurtsever transversable wormhole [ref] , the Gott time machine based on moving conical defects [ref] , the Ori dust solution [ref] , and the solutions in $f(R)$ theories of gravity [ref] and theories with non-minimal matter-curvature coupling [ref] .
Time machines and traversable wormholes in modified theories of gravity · Introduction · 1.00
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