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Fuzzy Kähler manifolds

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  • Marek-Crnjac, L.

Abstract

Quarks are the elementary units of matter and similarly the Betti numbers are the elementary units of the invariant topology of space–time. In the present work we use the Betti numbers of the first and second fuzzy Kähler manifold to write down the coupling constants α¯g, α¯gs and the inverse electromagnetic fine structure constant α¯0. The masses of the average pentaquark and the Higgs particle are written in terms of α¯g, α¯gs and also in terms of the Betti numbers of the first fuzzy Kähler manifold. The paper should help in demystifying the meaning of the value of the inverse electromagnetic constant α¯0=137.

Suggested Citation

  • Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:677-681
    DOI: 10.1016/j.chaos.2006.04.018
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    2. El Naschie, M.S., 2006. "Pentaquark mass sum rule and the Higgs," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 899-901.
    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. Marek-Crnjac, L., 2006. "Pentaquarks and the mass spectrum of the elementary particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 332-341.
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    Cited by:

    1. El Naschie, M.S., 2008. "Eliminating gauge anomalies via a “point-less” fractal Yang–Mills theory," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1332-1335.
    2. El Naschie, M.S., 2008. "An outline for a quantum golden field theory," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 317-323.
    3. Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    4. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 649-656.
    5. 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.
    6. El Naschie, M.S., 2008. "Average exceptional Lie and Coxeter group hierarchies with special reference to the standard model of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 662-668.
    7. El Naschie, M.S., 2008. "High energy physics and the standard model from the exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 1-17.
    8. Sadeqi, I. & Kia, F. Solaty, 2009. "Fuzzy normed linear space and its topological structure," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2576-2589.
    9. Büyükkılıç, F. & Demirhan, D., 2009. "Cumulative growth with fibonacci approach, golden section and physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 24-32.
    10. Marek-Crnjac, L., 2008. "From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1279-1288.

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