# Physical models from noncommutative causality

August 03, 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.

open access link
EPJ Web Conf. Volume 182, 2018

@article{Franco:2017cck,
author = "Franco, Nicolas",
title = "{Physical models from noncommutative causality}",
booktitle = "{Proceedings, 6th International Conference on New
Frontiers in Physics (ICNFP 2017): Crete, Greece, August
17-29, 2017}",
year = "2017",
doi = "10.1051/epjconf/201818202043",
note = "[EPJ Web Conf.182,20204(2018)]",
eprint = "1711.05057",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1711.05057;%%"
}

Keywords:

*none*