MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

An essay on the spectral action and its relation to quantum gravity

Mario Paschke


We give a brief, critical account of Connes' spectral action principle, its physical motivation, interpretation and its possible relation to a quantum theory of the gravitational field coupled to matter. We then present some speculations concerning the quantization of the spectral action and the perspectives it might offer, most notably the speculation that the standard model, including the gauge groups and some of its free parameters, might be derived from first principles.

May 17, 2006
May 17, 2006
MSC Codes:
58B34, 81R60
Noncommutative Geometry, standard model of particle physics, generally covariant quantum theory

Related publications

2007 Repository Open Access
Mario Paschke

An essay on the spectral action and its relation to quantum gravity

In: Quantum gravity : mathematical models and experimental bounds / Bertfried Fauser... (eds.)
Basel [u.a.] : Birkhäuser, 2007. - pp. 127-149