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On a class of fuzzy Kähler-like manifolds

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  • El Naschie, M.S.

Abstract

The paper introduces a new Kähler-like fuzzy manifold K(E-infinity). All the Betti numbers and other topological invariants of this manifold have been determined. In particular it is found that the Euler characteristic is equal to 26+k=26.18033989 compared with 24 in the K3 Kähler case. On the other hand, the absolute value of the inverse signature was found to be equal to the Sommerfield electromagnetic fine structure constant lifted to 10 dimensions. This gives the manifold profound physical meaning.

Suggested Citation

  • El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:2:p:257-261
    DOI: 10.1016/j.chaos.2004.12.024
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "Rough intuitionistic fuzzy subgroup," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2145-2153.
    2. Gutiérrez García, J. & de Prada Vicente, M.A., 2007. "Further results on L-valued filters," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 162-172.
    3. El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
    4. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    5. He, Ji-Huan, 2007. "E-Infinity theory and the Higgs field," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 782-786.
    6. Farnoosh, R. & Aghajani, A. & Azhdari, P., 2009. "Contraction theorems in fuzzy metric space," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 854-858.
    7. Sidharth, B.G., 2006. "Strings and Planck oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 300-311.
    8. 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.
    9. El Naschie, Mohamed Saladin, 2006. "Is gravity less fundamental than elementary particles theory? Critical remarks on holography and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 803-807.
    10. Materassi, Massimo & Wernik, Andrzej W. & Yordanova, Emiliya, 2006. "Statistics in the p-model," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 642-655.
    11. Ekmekçi, S. & Akça, Z. & Bayar, A., 2009. "On the classification of fuzzy projective planes of fuzzy 3-dimensional projective space," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2146-2151.
    12. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.

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