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Exceptional and semi simple Lie groups hierarchies and the maximum number of elementary particles beyond the standard model of high energy physics

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  • Marek-Crnjac, L.

Abstract

In this work and following some major developments in our understanding of the connection between the exceptional Lie symmetry groups hierarchy and physics, we present finite and infinite dimensional Lie groups and their connections to the orthogonal and unitary groups. The dimension of the Lie group E712 is included in the derivation of the number of elementary particle-like super states 576 and 672. Connections to the dimensions of Lie groups and the 72 and 84 elementary particles recently considered by the Author are discussed.

Suggested Citation

  • Marek-Crnjac, L., 2008. "Exceptional and semi simple Lie groups hierarchies and the maximum number of elementary particles beyond the standard model of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 1-5.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:1-5
    DOI: 10.1016/j.chaos.2007.08.083
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "Notes on exceptional lie symmetry groups hierarchy and possible implications for E-Infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 67-70.
    2. Marek-Crnjac, L., 2006. "The golden mean in the topology of four-manifolds, in conformal field theory, in the mathematical probability theory and in Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1113-1118.
    3. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    4. El Naschie, M.S., 2008. "Symmetry group prerequisite for E-infinity in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 202-211.
    5. El Naschie, M.S., 2005. "A note on various supersymmetric extensions of the standard model of high-energy particles and E-Infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 23(2), pages 683-688.
    6. El Naschie, M.S., 2008. "Noether’s theorem, exceptional Lie groups hierarchy and determining 1/α≅137 of electromagnetism," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 99-103.
    7. Naschie, M.S.El, 2005. "Deriving the essential features of the standard model from the general theory of relativity," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 941-946.
    8. 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.
    9. Marek-Crnjac, L., 2007. "The maximum number of elementary particles in a super symmetric extension of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1631-1636.
    10. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    11. El Naschie, M.S., 2008. "Conformal E-infinity theory, exceptional Lie groups and the elementary particle content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 216-219.
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    1. Marek-Crnjac, L., 2008. "Stein spaces in connection with El Naschie’s exceptional Lie groups hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 309-315.
    2. Marek-Crnjac, L., 2008. "Lie groups hierarchy in connection with the derivation of the inverse electromagnetic fine structure constant from the number of particle-like states 548, 576 and 672," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 332-336.
    3. El Naschie, M.S., 2009. "A simple direct connection between superstrings and E8 unification," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1329-1330.

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