On a Classification of Irreducible Almost-Commutative Geometries IV
| dc.creator | Jureit, Jan-Hendrik | |
| dc.creator | Stephan, Christoph A. | |
| dc.date | 2006-10-03 | |
| dc.date | 2008-02-03 | |
| dc.date.accessioned | 2026-07-07T11:27:50Z | |
| dc.date.available | 2026-07-07T11:27:50Z | |
| dc.description | In this paper we will classify the finite spectral triples with KO-dimension six, following the classification found in [1,2,3,4], with up to four summands in the matrix algebra. Again, heavy use is made of Kra jewski diagrams [5]. Furthermore we will show that any real finite spectral triple in KO-dimension 6 is automatically S 0 -real. This work has been inspired by the recent paper by Alain Connes [6] and John Barrett [7]. In the classification we find that the standard model of particle physics in its minimal version fits the axioms of noncommutative geometry in the case of KO-dimension six. By minimal version it is meant that at least one neutrino has to be massless and mass-terms mixing particles and antiparticles are prohibited | |
| dc.description | Revised version for publication in the Journal of Mathematical Physics | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610040 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610040 | |
| dc.identifier | J.Math.Phys.49:033502,2008 | |
| dc.identifier | doi:10.1063/1.2863695 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196262 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On a Classification of Irreducible Almost-Commutative Geometries IV | |
| dc.type | text |