Abstract
We prove that even though ‘natural’ time machines seem (by now) to be feasible, the ‘artificial’ ones are impossible within classical relativity. Even more, the last assertion remains valid if general relativity is complemented by any local condition.
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Notes
- 1.
With respect to some order relation that we shall introduce in \(\mathsf V \). Up to some technical details means \(A\subset B\).
- 2.
The nature of this singularity is the same as in the DP space, or, say, in the twofold covering of the punctured Minkowski plane.
- 3.
This is the reason why we require that \(\lambda \) be timelike, not just causal.
- 4.
Indeed, any of them is homotopic to the geodesic connecting its ends: it suffices to define \(\lambda _{\xi _*}\) as the geodesic segment from \(\lambda _0(0)\) to \(\lambda _0(\tau =\xi _*)\) joined with the segment .
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Krasnikov, S.V. (2018). A No-Go Theorem for the Artificial Time Machine. In: Back-in-Time and Faster-than-Light Travel in General Relativity. Fundamental Theories of Physics, vol 193. Springer, Cham. https://doi.org/10.1007/978-3-319-72754-7_5
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DOI: https://doi.org/10.1007/978-3-319-72754-7_5
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