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Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics

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  • El Naschie, M.S.

Abstract

We are constructing a hierarchy of kissing numbers representing singular contact points of hyper-spheres in exceptional Lie symmetry groups lattice arrangement embedded in the 26 dimensional bosonic strings spacetime. That way we find a total number of points and dimensions equal to 548. This is 52 more than the order of E8E8 of heterotic string theory and leads to the prediction of 69 elementary particles at an energy scale under 1T. In other words, our mathematical model predicts nine more particles than what is currently experimentally known to exist in the standard model of high energy physics namely only 60. The result is thus in full agreement with all our previous theoretical findings.

Suggested Citation

  • El Naschie, M.S., 2008. "Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 420-422.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:2:p:420-422
    DOI: 10.1016/j.chaos.2007.06.121
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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
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    1. Caneco, Acilina & Grácio, Clara & Leonel Rocha, J., 2009. "Kneading theory analysis of the Duffing equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1529-1538.

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