| Issue |
EPJ Web Conf.
Volume 182, 2018
6th International Conference on New Frontiers in Physics (ICNFP 2017)
|
|
|---|---|---|
| Article Number | 02043 | |
| Number of page(s) | 9 | |
| Section | Talks | |
| DOI | https://doi.org/10.1051/epjconf/201818202043 | |
| Published online | 03 August 2018 | |
https://doi.org/10.1051/epjconf/201818202043
Physical models from noncommutative causality
1
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: nicolas.franco@unamur.be
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.