Natural extensions of the Connes–Lott Model and comparison with the Marseille–Mainz Model

An extension of the Connes–Lott model is proposed. It is also within the framework of the A.Connes construction based on a generalized Dirac–Yukawa operator and the K–cycle (H,D), with H a fermionic Hilbert space. The basic algebra A which may be considered as representing the non–commutative extension, plays a less important role in our approach. This allows a new class of natural extensions. The proposed extension lies in a sense between the Connes– Lott and the Marseille–Mainz model. It leads exactly to the standard model of electroweak interactions. ∗ Work supported in part by PROCOPE project Mainz University and CPT Marseille–Luminy. 1 E–mail: [email protected]–mainz.de