Physical models from noncommutative causality
Namur Center for Complex Systems (naXys) & Department of Mathematics, University of Namur, rue de Bruxelles 61, 5000 Namur, Belgium
2 Copernicus Center for Interdisciplinary Studies, ul. Sławkowska 17, 31-016 Kraków, Poland
a e-mail: email@example.com
Published online: 3 August 2018
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.
© The Authors, published by EDP Sciences 2018
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