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A survey of spectral models of gravity coupled to matter

  • Ali Chamseddine
  • Walter D. van SuijlekomEmail author
Chapter

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.

Notes

Acknowledgements

The work of A. H. C. is supported in part by the National Science Foundation Grant No. Phys-1518371. He also thanks the Radboud Excellence Initiative for hosting him at Radboud University where this research was carried out. We would like to thank Alain Connes for sharing with us his insights and ideas.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Physics, Institute for MathematicsAstrophysics and Particle PhysicsNijmegenThe Netherlands
  2. 2.American University of BeirutBeirutLebanon
  3. 3.Radboud UniversityNijmegenThe Netherlands
  4. 4.Institute for Mathematics, Astrophysics and Particle PhysicsRadboud University NijmegenNijmegenThe Netherlands

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