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I give a summary of the progress made on using the elegant construction of Alain Connes noncommutaive geometry to explore the nature of space-time at very high energies.
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A. Connes, Gravity coupled with matter and the foundation of noncommutative geometry , Comm. Math. Phys. 182
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A. Chamseddine and A. Connes, The Spectral action principle , Comm. Math. Phys. 186
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A. Chamseddine and A. Connes, Scale invariance in the spectral action, Jour. Math. Phys. 47
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A. Chamseddine, A. Connes, M. Marcolli, Gravity and the standard model with neutrino mixing , Adv. Theor. Math. 11
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John Barrett, The Lorentzian Version of the Noncommutative Geometry Model of Particle Physics , J. Math. Phys
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A. Chamseddine and A. Connes, Conceptual explanation for the algebra in the noncommutative approach to the standard model , Phys. Rev. Lett. 99
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A. Chamseddine and A. Connes, Quantum gravity boundary terms from the spectral action of noncommutative space, Phys. Rev. Lett. 99
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2001
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A. Connes, Noncommutative geometry and the standard model with neutrino mixing, JHEP 0611:081
2006
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A. Chamseddine and A. Connes, in preparation
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A. Chamseddine and A. Connes, ”The Uncanny precision of the Spectral Action”, arXiv:0812.0165
Cited in the paper.
A. Chamseddine and A. Connes, Why the Standard Model , Jour. Geom. Phys. 58
2008
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G. Isidori, V. Rychkov, A. Sturmia and N. Tetradis, Gravitational corrections to the standard model vacuum decay, Phys. Rev. D 77
2008
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