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Noncommutative Geometry and Basic Physics

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Geometry and Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

Abstract

Alain Connes’ noncommutative geometry, started in 1982 [0], widely develo- ped in 1994 as expounded in his book at this date [0] (it has grown meanwhile) is a systematic quantization of mathematics parallel to the quantization of physics effected in the twenties.This theory widens the scope of mathematics in a manner congenial to physics, reorganizes the existing (“classical”) mathematics of which it produces an hitherto unsuspected unification, and provides basic physics (the synthesis of elementary particles and gravitation) with a programme of renewal which has thus far achieved a clarification of the classical (tree-level) aspects of a new synthesis of the (Euclidean) standard model with gravitation [32],[33]: this is the subject of the present lectures— with the inherent tentative prediction of the Higgs mass.

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS— Luminy, Case 907, F-13288, MARSEILLE CEDEX 09, FRANCE

    Daniel Kastler

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  1. Daniel Kastler
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Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, 8010, Graz, Austria

    H. Gausterer  & L. Pittner  & 

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Harald Grosse

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Kastler, D. (2000). Noncommutative Geometry and Basic Physics. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_4

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  • DOI: https://doi.org/10.1007/3-540-46552-9_4

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  • Print ISBN: 978-3-540-67112-1

  • Online ISBN: 978-3-540-46552-2

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