Andréka, Hajnal and Madarász, Judit X. and Manchak, JB and Németi, István and Székely, Gergely (2025) An Extendible Spacetime Without Closed Timelike Curves Whose Every Extension Contains Closed Timelike Curves. [Preprint]

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Abstract

By removing a fractal from time-rolled Minkowski spacetime, we construct an extendible spacetime without closed timelike curves whose every extension contains closed timelike curves. This settles a question posed by Geroch (1970).

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Item Type:	Preprint
Creators:	Creators Email ORCID Andréka, Hajnal andreka.hajnal@renyi.hu Madarász, Judit X. madarasz.judit@renyi.hu Manchak, JB jmanchak@uci.edu Németi, István nemeti.istvan@renyi.hu Székely, Gergely szekely.gergely@renyi.hu
Keywords:	maximality, inextendibility, causal structure, time travel,
Subjects:	General Issues > Causation Specific Sciences > Physics > Relativity Theory
Depositing User:	JB Manchak
Date Deposited:	27 Oct 2025 12:27
Last Modified:	27 Oct 2025 12:27
Item ID:	27030
Subjects:	General Issues > Causation Specific Sciences > Physics > Relativity Theory
Date:	2025
URI:	https://philsci-archive.pitt.edu/id/eprint/27030

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