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Bounds on the number of possible Higgs particles using grand unification and exceptional Lie groups

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  • El Naschie, M.S.

Abstract

The total sum of dimensions of a magnum exceptional Lie symmetry groups hierarchy is 4α¯o=(4)(137+ko)≃548. Dividing this value among the various quantum fields leads to the possibility of an eight degrees of freedom Higgs field. However analyzing the same situation using sub groups of the largest exceptional Lie group leads to the conclusion that we are likely to find three Higgs particles only at the energy scale of the standard model. Consequently five of the eight degrees of freedom are unlikely to materialize as particles at this particular energy scale. This conclusion is reinforced by an entirely different approach based on grand unification analysis which excludes any grand unification using 4HD, i.e. four Higgs doublets. This leaves us with one, two and three Higgs doublets. Noting that a super symmetric standard model with two Higgs doublets gives almost perfect grand unification and that the result agrees with our exceptional Lie symmetry groups analysis, we exclude everything else.

Suggested Citation

  • El Naschie, M.S., 2008. "Bounds on the number of possible Higgs particles using grand unification and exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 633-637.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:633-637
    DOI: 10.1016/j.chaos.2008.01.007
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    References listed on IDEAS

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    1. Marek-Crnjac, L., 2006. "Different Higgs models and the number of Higgs particles," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 575-579.
    2. El Naschie, M.S., 2008. "On a major exceptional Lie symmetry groups hierarchy and quantum gravity," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 42-44.
    3. El Naschie, M.S., 2008. "One and two-stein space hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1189-1190.
    4. Naschie, M.S. El, 2005. "On the possibility of six gravity related particles in the standard model of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1491-1496.
    5. El Naschie, M.S., 2008. "An outline for a quantum golden field theory," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 317-323.
    6. El Naschie, M.S., 2008. "The exceptional eightfold way to a possible Higgs field," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 664-667.
    7. El Naschie, M.S., 2008. "On a transfinite symmetry group with 10 to the power of 19 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 539-541.
    8. El Naschie, M.S., 2008. "The Exceptional Lie symmetry groups hierarchy and the expected number of Higgs bosons," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 268-273.
    9. El Naschie, M.S., 2008. "Exact non-perturbative derivation of gravity’s G¯4 fine structure constant, the mass of the Higgs and elementary black holes," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 346-359.
    10. El Naschie, M.S., 2008. "Non-perturbative super symmetric quantum gravity coupling," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 862-870.
    11. El Naschie, M.S., 2005. "A P-Brane vindication of the two Higgs-doublet minimally super-symmetric standard model and related issues," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1511-1514.
    12. El Naschie, M.S., 2005. "Experimental and theoretical arguments for the number and the mass of the Higgs particles," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1091-1098.
    13. El Naschie, M.S., 2008. "String theory, exceptional Lie groups hierarchy and the structural constant of the universe," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 7-12.
    14. El Naschie, M.S., 2008. "Asymptotic freedom and unification in a golden quantum field theory," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 521-525.
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