<p>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.</p>

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An Extendible Spacetime Without Closed Timelike Curves Whose Every Extension Contains Closed Timelike Curves

  • H. Andréka,
  • J. Madarász,
  • J. Manchak,
  • I. Németi,
  • G. Székely

摘要

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.