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The connection between the order of simple groups and the maximum number of elementary particles

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  • Marek-Crnjac, L.

Abstract

The aim of this article is to present spherical, Euclidean and hyperbolic polyhedra and find some connections of the order of their reflection groups and simple groups such as PGL(2,7), PGL(2,8), PGL(2,7)×C2, PSL(2,31)×C2 to the number of elementary particles. In the present work we show that a larger number of 72 or 84 elementary particles is consistent with super string theory, M-theory and heterotic string theory. The philosophy of the work is based on El Naschie’s E-infinity interpretation of Emmy Nöther’s theorem.

Suggested Citation

  • Marek-Crnjac, L., 2008. "The connection between the order of simple groups and the maximum number of elementary particles," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 641-644.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:641-644
    DOI: 10.1016/j.chaos.2007.07.014
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "The supersymmetric components of the Riemann–Einstein tensor as nine dimensional spheres in ten dimensional space," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 29-32.
    2. El Naschie, M.S., 2007. "The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 537-547.
    3. El Naschie, M.S., 2005. "Determining the mass of the Higgs and the electroweak bosons," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 899-905.
    4. He, Ji-Huan, 2007. "On the number of elementary particles in a resolution dependent fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1645-1648.
    5. El Naschie, M.S., 2005. "Higgs number from anomaly cancellation and super Riemann tensor," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 653-657.
    6. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    Full references (including those not matched with items on IDEAS)

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