Physical models from noncommutative causality

Nicolas Franco
November 14, 2017
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.
open access link
@inproceedings{Franco:2017cck, author = "Franco, Nicolas", title = "{Physical models from noncommutative causality}", booktitle = "{6th International Conference on New Frontiers in Physics (ICNFP 2017) Kolymbari, Crete, Greece, August 17-26, 2017}", url = "", year = "2017", eprint = "1711.05057", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1711.05057;%%" }