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Tadpoles, anomaly cancellation and the expectation value of the number of the Higgs particles in the standard model

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  • El Naschie, M.S.

Abstract

We motivate the concept of infinitely large and hierarchical matrices in connection with the eight-dimensional super Riemannian tensor and the unification of all fundamental forces. Subsequently, we derive the number of particle-like states and the expectation value of the number of elementary particle content of a minimally extended standard model using the total number of tadpoles and anomaly cancellation condition:nH+29nt-nv=R(8)-N(SM)=2α¯0-1=273where nH is the number of hyper multiplets, nt the number of tensor multiplets, nv the vector multiplets, R(8) is the number of independent components of Riemann’s curvature tensor in eight dimensions, N(SM) is the number of elementary particles content of the standard model and α¯0 is the inverse fine structure constant. We can conclude that N(SM)=66. Consequently, we conjecture that five Higgs particles should be involved in the standard model.

Suggested Citation

  • El Naschie, M.S., 2005. "Tadpoles, anomaly cancellation and the expectation value of the number of the Higgs particles in the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 659-663.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:3:p:659-663
    DOI: 10.1016/j.chaos.2004.11.002
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    1. El Naschie, M.S., 2005. "On 336 kissing spheres in 10 dimensions, 528 P-Brane states in 11 dimensions and the 60 elementary particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 447-457.
    2. El Naschie, M.S., 2005. "Anomaly cancellation and the mass spectrum of ε(∞)," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1087-1090.
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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. 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.
    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. 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.
    5. El Naschie, M.S., 2005. "An elementary model based method for determining the number of possible Higg bosons in the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 701-706.

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