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Temporal Lorentzian Spectral Triples
[article]
2013
arXiv
pre-print
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 temporal Lorentzian spectral triple over a Moyal--Minkowski
arXiv:1210.6575v2
fatcat:4p7v2brizza6bels2lg5bmo5va