paper

An extendible spacetime without closed timelike curves whose every extension contains closed timelike curves

arXiv:2510.26902 · doi:10.1007/s10701-026-00914-0

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.

14 pages, 7 figures

An extendible spacetime without closed timelike curves whose every extension contains closed timelike curves · wovepaper