Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894687 | Journal of Geometry and Physics | 2015 | 17 Pages |
Abstract
We investigate the causal structure of two-sheeted space-times using the tools of Lorentzian spectral triples. We show that the noncommutative geometry of these spaces allows for causal relations between the two sheets. The computation is given in detail when the sheet is a 2- or 4-dimensional globally hyperbolic spin manifold. The conclusions are then generalised to a point-dependent distance between the two sheets resulting from the fluctuations of the Dirac operator.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Nicolas Franco, Michał Eckstein,