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Non-commutative Extensions of Classical Theories in Physics

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Towards Quantum Gravity

Part of the book series: Lecture Notes in Physics ((LNP,volume 541))

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Abstract

We propose a short introductory overview of the non-commutative extensions of several classical physical theories. After a general discussion of the reasons that suggest that the non-commutativity is a major issue that will eventually lead to the unification of gravity with other fundamental interactions, we display examples of non-commutative generalizations of known geometries.

Finally we discuss the general properties of the algebras that could become generalizations of algebras of smooth functions on Minkowskian (Riemannian) manifolds, needed for the description of Quantum Gravity.

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Authors and Affiliations

  1. Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre-et-Marie-Curie - CNRS ESA 7065, Tour 22, 4-ème étage, Boîte 142 4, Place Jussieu, 75005, Paris, France

    Richard Kerner

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  1. Richard Kerner
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Editors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Pl.Maxa Borna 9, 50-204, Wrocław, Poland

    Jerzy Kowalski-Glikman

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© 2000 Springer-Verlag Berlin Heidelberg

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Kerner, R. (2000). Non-commutative Extensions of Classical Theories in Physics. In: Kowalski-Glikman, J. (eds) Towards Quantum Gravity. Lecture Notes in Physics, vol 541. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46634-7_6

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  • DOI: https://doi.org/10.1007/3-540-46634-7_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66910-4

  • Online ISBN: 978-3-540-46634-5

  • eBook Packages: Springer Book Archive

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