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The maximum number of elementary particles in a super symmetric extension of the standard model

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  • Marek-Crnjac, L.

Abstract

In a series of papers over the last few years El Naschie addressed the question of the minimum and maximum number of elementary particles which a mathematically consistent and a physically meaning full extended standard model should contain. El Naschie’s minimum is 62 particles namely 60 believed to have been already discovered in addition to one Higgs boson and one graviton which are theoretically needed but are not jet experimentally conformed. By contrast the maximum number of 69 particles is although consistent with many quantum field theories based models as well as a classical result by Dyson may not be the only possibility. In the present work we show that a larger number of 72 or even 84 particles are easily shown to be consistent with super string theory and super symmetry. Our work consists of two parts. The first part is a reappraisal of El Naschie’s results and the second is a derivation of the proposed possibility of an upper bound of 72 or 84 elementary particles.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1631-1636
    DOI: 10.1016/j.chaos.2006.09.020
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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., 2005. "Kähler-like manifolds, Weyl spinor particles and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 665-670.
    3. El-Okaby, Ayman A., 2006. "Estimating the mass of the Higgs boson (mH) using the mass formula of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 259-262.
    4. 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.
    5. El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    6. El Naschie, M.S., 2006. "An elementary proof for the nine missing particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1136-1138.
    7. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    8. 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.
    9. 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.
    10. 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.
    11. El Naschie, M.S., 2005. "Spinorial content of the standard model, a different look at super-symmetry and fuzzy E-infinity hyper Kähler," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 303-311.
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    Cited by:

    1. 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.
    2. 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.

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