Time Machines Constructed from Anti-de Sitter Space
Li-Xin Li

TL;DR
This paper constructs theoretical models of time machines using anti-de Sitter space, analyzes their quantum field properties, and proposes a new renormalization method to ensure consistent quantum vacua.
Contribution
It introduces new constructions of time machines from anti-de Sitter space and develops a self-consistent renormalization procedure for quantum fields in these spacetimes.
Findings
Existence of self-consistent vacua for scalar, electromagnetic, and neutrino fields.
Finite renormalized stress-energy tensors in constructed time machine models.
Proposal of a new renormalization method for quantum fields in Misner-type spaces.
Abstract
In this paper time machines are constructed from anti-de Sitter space. One is constructed by identifying points related via boost transformations in the covering space of anti-de Sitter space and it is shown that this Misner-like anti-de Sitter space is just the Lorentzian section of the complex space constructed by Li, Xu, and Liu in 1993. The others are constructed by gluing an anti-de Sitter space to a de Sitter space, which could describe an anti-de Sitter phase bubble living in a de Sitter phase universe. Self-consistent vacua for a massless conformally coupled scalar field are found for these time machines, whose renormalized stress-energy tensors are finite and solve the semi-classical Einstein equations. The extensions to electromagnetic fields and massless neutrinos are discussed. It is argued that, in order to make the results consistent with Euclidean quantization, a new…
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