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SO(10) grand unification in a fuzzy setting

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  • El Naschie, M.S.

Abstract

While the SU (5) unification is controlled by ∣SU(5)∣=24 charges, the SO(10) grand unification possesses ∣SO(10)∣=45 charges. The present work gives a partial reformulation of SO(10) unification in a fuzzy setting. In particular, it is argued that the geometrical picture behind the {126} representation of SO(10) is identical to the structure behind E-infinity and the transfinite E8⊗E8 exceptional Lie group when we continue {126} transfinitely. It is conjectured that within the fuzzy setting, SU(5) and SO(10) are essentially various homeomorphisms approximating E-infinity theory.

Suggested Citation

  • El Naschie, M.S., 2007. "SO(10) grand unification in a fuzzy setting," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 958-961.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:958-961
    DOI: 10.1016/j.chaos.2006.09.068
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    References listed on IDEAS

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    1. He, Ji-Huan, 2007. "The number of elementary particles in a fractal M-theory of 11.2360667977 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 346-351.
    2. El Naschie, M.S., 2007. "SU(5) grand unification in a transfinite form," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 370-374.
    3. 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.
    4. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    5. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
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    Cited by:

    1. Liu, Zhanwei & Hu, Guoen & Wu, Guochang & Jiang, Bin, 2008. "Semi-orthogonal frame wavelets and Parseval frame wavelets associated with GMRA," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1449-1456.
    2. Marek-Crnjac, L., 2008. "Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 517-520.
    3. He, Ji-Huan, 2008. "String theory in a scale dependent discontinuous space–time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 542-545.
    4. He, Ji-Huan & Xu, Lan, 2009. "Number of elementary particles using exceptional Lie symmetry groups hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2119-2124.
    5. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.
    6. Liu, Zhanwei & Hu, Guoen & Lu, Zhibo, 2009. "Parseval frame scaling sets and MSF Parseval frame wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1966-1974.
    7. Zhu, Xiuge & Wu, Guochang, 2009. "A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2484-2490.
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    9. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.

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