1210.6575 (Nicolas Franco)
Nicolas Franco
We present the notion of temporal Lorentzian spectral triple which is an extension of the notion of pseudo-Riemannian spectral triple with a way to ensure that the signature of the metric is Lorentzian. A temporal Lorentzian spectral triple corresponds to a specific 3+1 decomposition of a possibly noncommutative Lorentzian space. This structure introduces a notion of global time in noncommutative geometry. As an example, we construct a noncommutative Minkowsky spacetime with the use of a degenerate Moyal product.
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http://arxiv.org/abs/1210.6575
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