An extendible spacetime without closed timelike curves whose every extension contains closed timelike curves
General Relativity and Quantum Cosmology
2026-03-19 v1
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.
Cite
@article{arxiv.2510.26902,
title = {An extendible spacetime without closed timelike curves whose every extension contains closed timelike curves},
author = {H. Andréka and J. Madarász and J. Manchak and I. Németi and G. Székely},
journal= {arXiv preprint arXiv:2510.26902},
year = {2026}
}
Comments
14 pages, 7 figures