Pathologies of van Stockum dust/Tipler’s time machine

Lindsay, David S.

doi:10.1007/s10714-016-2117-3

Cited by 3 publications

(1 citation statement)

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“…", taking general relativity in isolation this conjecture does not hold. In particular, there are several solutions of the Einstein equations containing CTCs, such as the van Stockum dust spacetime and its generalizations [53,54]. However, as advocated by Thorne [55], the combination of general relativity and quantum theory may provide such a mechanism for chronology protection.…”

Section: Discussionmentioning

confidence: 99%

Strict deformations of quantum field theory in de Sitter spacetime

Fröb

Much

2021

Journal of Mathematical Physics

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We show that a non-commutative structure arises naturally from perturbative quantum gravity in a de Sitter background metric. Our work builds on recent advances in the construction of observables in highly symmetric background spacetimes [Brunetti et al., JHEP 08, 032 (2016); Fröb and Lima, Class. Quant. Grav. 35, 095010 (2018)], where the dynamical coordinates that are needed in the relational approach were established for such backgrounds to all orders in perturbation theory. We show that these dynamical coordinates that describe events in the perturbed spacetime are naturally non-commuting, and determine their commutator to leading order in the Planck length. Our result generalizes the causal non-commutative structure that was found using the same approach in Minkowski space [Fröb, Much and Papadopoulos, Phys. Rev. D 107, 064041 (2023)].

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Section: Discussionmentioning

confidence: 99%