Holography of time machines
arXiv:2107.14200 · doi:10.1007/JHEP03(2022)212
Abstract
We use holography to examine the response of interacting quantum fields to the appearance of closed timelike curves in a dynamically evolving background that initially does not contain them. For this purpose, we study a family of two-dimensional spacetimes that model very broad classes of wormhole time machines. The behavior of strongly coupled conformal theories in these spacetimes is then holographically described by three-dimensional AdS bulk geometries that we explicitly construct. The dual bulk spacetime is free from any divergences, but splits into two disconnected components, without and with CTCs, which are joined only through the boundary; then, passages across the chronology horizon are impossible for any field excitations. In dual terms, the strong self-interaction of the CFT decouples the pathological part from the rest of the spacetime. We also find that entangling the CFTs in two separate time machines connects them through a traversable bulk wormhole. Nevertheless, any entanglement-assisted chronology violations will be prevented by quantum bulk corrections, i.e., subleading 1/N effects, again without needing any gravitational backreaction of the CFT. We are led to speculate that chronology may be protected without involving Planck scale physics.
arXiv comment31 pages, 3 figures. v2: 32 pages, 5 figures; substantially improved discussion and analysis. v3: 33 pages, 5 figures; revised intro. Matches published version
References in corpus (20)
- Geometry of the 2+1 Black Hole
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Quantum Field Theory on Spacetimes with a Compactly Generated Cauchy Horizon
- Achronal averaged null energy condition
- Time evolution of entanglement entropy from a pulse
- Quantum Field Theory in Spaces with Closed Time-Like Curves
- The BTZ black hole violates strong cosmic censorship
- Holographic Consequences of a No Transmission Principle
- On the Quantum Stability of the Time Machine
- A Self-Consistent Vacuum for Misner Space and the Chronology Protection Conjecture
- Traversable Asymptotically Flat Wormholes with Short Transit Times
- Chronology Protection and Quantized Fields: Complex Automorphic Scalar Field in Misner Space
- Strong cosmic censorship in the BTZ black hole
- Time Machines Constructed from Anti-de Sitter Space
- Stress-Energy Must be Singular on the Misner Space Horizon even for Automorphic Fields
- Multi-mouth Traversable Wormholes
- The thermal and two-particle stress-energy must be ill-defined on the 2-d Misner space chronology horizon
- Holographic dual of a time machine
- Quantum Backreaction on Chronology Horizons
- Quantized Fields and Chronology Protection