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arXiv · 1711.05057

Physical models from noncommutative causality

Nicolas Franco
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Abstract

We introduced few years ago a new notion of causality for noncommutative spacetimes directly related to the Dirac operator and the concept of Lorentzian spectral triple. In this paper, we review in a non-technical way the noncommutative causal structure of many toy models as almost commutative spacetimes and the Moyal-Weyl spacetime. We show that those models present some unexpected physical interpretations as a geometrical explanation of the Zitterbewegung trembling motion of a fermion as well as some geometrical constraints on translations and energy jumps of wave packets on the Moyal spacetime.

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Nicolas Franco. 2017-11-14. Physical models from noncommutative causality. https://doi.org/10.1051/epjconf%2F201818202043

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