Closed timelike curves in superfluid $^{3}$He
Pedro F. Gonzalez-Diaz (IMAFF,CSIC,Madrid), Carmen L. Siguenza (Univ., CEU, San Pablo)
TL;DR
This paper demonstrates that certain vortex-induced curved spacetime in superfluid helium-3 can contain closed timelike curves, allowing superfluid clusters to travel back in time and violate causality.
Contribution
It introduces a novel theoretical model showing how superfluid helium-3 can host closed timelike curves due to vortex-induced spacetime curvature.
Findings
Closed timelike curves exist in vortex-induced spacetime in superfluid helium-3.
Superfluid clusters of anti-helium-3 can travel along these curves.
Causality can be violated in this superfluid system.
Abstract
It is shown that the curved spacetime induced in a thin film of superfluid He-A by the presence of symmetric vortices with the unbroken symmetry phase, admits the existence of closed timelike curves through which only superfluid clusters formed by anti-He atoms can travel and violate causality.
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