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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.

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