Comment on "Causality-violating Higgs singlets at the LHC"
Abstract
The spacetime of Ho and Weiler [Phys. Rev. D {\bf 87}, 045004 (2013)] supposedly admitting closed timelike curves (CTCs) is flat Minkowski spacetime with a compactified coordinate and can only contain CTCs if the compact direction is chosen to be timelike. This case of a "periodic time" is probably the simplest example of a causality-violating spacetime; it trivially satisfies all energy conditions usually assumed in general relativity, and its geodesics are just straight lines. Its relevance for phenomenology of the LHC, on the other hand, depends on consistency with observational constraints on gravity, as is mentioned in general but not discussed in any detail by Ho and Weiler. We verify a basic consistency check for stationary sources.
Keywords
Cite
@article{arxiv.1302.1711,
title = {Comment on "Causality-violating Higgs singlets at the LHC"},
author = {Steffen Gielen},
journal= {arXiv preprint arXiv:1302.1711},
year = {2013}
}
Comments
2 pages, 2 figures, APS style; v3: substantially expanded, includes discussion of consistency with observational constraints from gravity; v4: added discussion of faulty analysis in Sec.III of original paper, matches published version