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A survey of spectral models of gravity coupled to matter

In: Advances in Noncommutative Geometry

Author

Listed:
  • Ali Chamseddine

    (Astrophysics and Particle Physics, Department of Physics, Institute for Mathematics
    American University of Beirut
    Radboud University)

  • Walter D. van Suijlekom

    (Radboud University Nijmegen, Institute for Mathematics, Astrophysics and Particle Physics)

Abstract

This is a survey of the historical development of the spectral Standard Model and beyond, starting with the ground breaking paper of Alain Connes in 1988 where he observed that there is a link between Higgs fields and finite noncommutative spaces. We present the important contributions that helped in the search and identification of the noncommutative space that characterizes the fine structure of space-time. The nature and properties of the noncommutative space are arrived at by independent routes and show the uniqueness of the spectral Standard Model at low energies and the Pati–Salam unification model at high energies.

Suggested Citation

  • Ali Chamseddine & Walter D. van Suijlekom, 2019. "A survey of spectral models of gravity coupled to matter," Springer Books, in: Ali Chamseddine & Caterina Consani & Nigel Higson & Masoud Khalkhali & Henri Moscovici & Guoliang Yu (ed.), Advances in Noncommutative Geometry, pages 1-51, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-29597-4_1
    DOI: 10.1007/978-3-030-29597-4_1
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