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Recurrence metrics and the physics of closed time-like curves

Moninder Singh Modgil·Deshdeep Sahdev
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Abstract

We investigate vacuum solutions of Einstein's equation for a universe with an S^1 topology of time. Such a universe behaves like a time-machine and has geodesics which coincide with closed time-like curves (CTCs). A system evolving along a CTC experiences the Loschmidt velocity reversion and undergoes a recurrence commensurate with the universal period. We indicate why this universe is free of the causality paradoxes, usually associated with CTCs.

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Moninder Singh Modgil, Deshdeep Sahdev. 2001-07-16. Recurrence metrics and the physics of closed time-like curves. https://arxiv.org/abs/gr-qc/0107055

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