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Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time

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  • Marek-Crnjac, L.

Abstract

In the present work, different derivations of the 548 isometries of E-infinity symmetry group are presented. The connection between the dimensions of exceptional Lie groups, orthogonal, unitary groups and the 548 is found. The work gives some arguments for deriving the inverse electromagnetic fine structure constant from 1152 bosons and an equal number of fermions following the light cone quantization of the GS action of a super Maxwell theory.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:517-520
    DOI: 10.1016/j.chaos.2007.07.044
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    References listed on IDEAS

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    1. El Naschie, M.S., 2007. "From pointillism to E-infinity electromagnetism," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1377-1381.
    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., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
    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., 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.
    6. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
    7. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    8. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
    9. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    10. El Naschie, M.S., 2007. "SO(10) grand unification in a fuzzy setting," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 958-961.
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    1. 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.

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