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El Naschie ϵ(∞) Cantorian structures with spatial pseudo-spherical symmetry: A possible description of the actual segregated universe

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  • Giordano, P.
  • Iovane, G.
  • Laserra, E.

Abstract

In the context of Mohamed El Naschie ϵ(∞) theory, we present a segregated universe in terms of Tolman–Bondi equations of pressure-free spherically symmetric systems of particles. We demonstrate the agreement between our model of segregation with a size of astrophysical structures via a comparison between quantum and astrophysical quantities. In [Iovane G, Laserra E, Giordano P. Fractal Cantorian structures with spatial pseudo-spherical symmetry for a possible description of the actual segregated universe as a consequence of its primordial fluctuations. Chaos, Solitons & Fractals 2004;22(3):521] we considered a scale factor a2(r)=1, here we will also analyze a2(r)≠1.

Suggested Citation

  • Giordano, P. & Iovane, G. & Laserra, E., 2007. "El Naschie ϵ(∞) Cantorian structures with spatial pseudo-spherical symmetry: A possible description of the actual segregated universe," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1108-1117.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:5:p:1108-1117
    DOI: 10.1016/j.chaos.2006.03.114
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    References listed on IDEAS

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    1. Iovane, G., 2006. "Cantorian spacetime and Hilbert space: Part I—Foundations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 857-878.
    2. Iovane, G. & Gargiulo, G. & Zappale, E., 2006. "A Cantorian potential theory for describing dynamical systems on El Naschie’s space–time," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 588-598.
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    Cited by:

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    3. Goudarzi, M. & Vaezpour, S.M. & Saadati, R., 2009. "On the intuitionistic fuzzy inner product spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1105-1112.
    4. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 91-102.
    5. Yuan, De-you & Du, Shu-de & Cheng, Zheng-xing, 2009. "Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1368-1376.
    6. Chen, Qingjiang & Shi, Zhi, 2008. "Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 323-332.
    7. Llorens-Fuster, Enrique & Petruşel, Adrian & Yao, Jen-Chih, 2009. "Iterated function systems and well-posedness," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1561-1568.
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