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A short history of fractal-Cantorian space-time

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  • Marek-Crnjac, L.

Abstract

The article attempts to give a short historical overview of the discovery of fractal-Cantorian space-time starting from the 17th century up to the present. In the last 25 years a great number of scientists worked on fractal space-time notably Garnet Ord in Canada, Laurent Nottale in France and Mohamed El Naschie in England who gave an exact mathematical procedure for the derivation of the dimensionality and curvature of fractal space-time fuzzy manifold.

Suggested Citation

  • Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2697-2705
    DOI: 10.1016/j.chaos.2008.10.007
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    1. 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.
    2. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    3. El Naschie, M.S., 2009. "Kac–Moody exceptional E12 from simplictic tiling," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1569-1571.
    4. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    5. Marek-Crnjac, L., 2007. "Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 944-950.
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    Cited by:

    1. Marek-Crnjac, L. & Iovane, G. & Nada, S.I. & Zhong, Ting, 2009. "The mathematical theory of finite and infinite dimensional topological spaces and its relevance to quantum gravity," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1974-1979.
    2. Wu, Guo-Cheng & He, Ji-Huan, 2009. "On the Menger–Urysohn theory of Cantorian manifolds and transfinite dimensions in physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 781-783.
    3. Mohiuddine, S.A., 2009. "Stability of Jensen functional equation in intuitionistic fuzzy normed space," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2989-2996.
    4. Nada, S.I., 2009. "On the mathematical theory of transfinite dimensions and its application in physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 530-531.
    5. Nada, S.I., 2009. "Density manifolds, geometric measures and high-energy physics in transfinite dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1539-1541.
    6. El Naschie, M.S., 2009. "The theory of Cantorian spacetime and high energy particle physics (an informal review)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2635-2646.
    7. Mursaleen, M. & Mohiuddine, S.A., 2009. "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2997-3005.
    8. Nada, S.I. & Hamouda, E.H., 2009. "Fundamental group of dual graphs and applications to quantum space time," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 500-503.
    9. Marek-Crnjac, L., 2009. "Partially ordered sets, transfinite topology and the dimension of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1796-1799.
    10. Halayka, S., 2009. "Associating disconnectedness with electromagnetic phenomena," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 469-471.
    11. Iovane, G., 2009. "From Menger–Urysohn to Hausdorff dimensions in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2338-2341.
    12. Elokaby, A., 2009. "On the deep connection between instantons and string states encoder in Klein’s modular space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 303-305.
    13. El Naschie, M.S., 2009. "On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2725-2732.
    14. Zhong, Ting, 2009. "From the numerics of dynamics to the dynamics of numerics and visa versa in high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1780-1783.
    15. Marek-Crnjac, L., 2009. "A Feynman path integral-like method for deriving the four dimensionality of spacetime from first principles," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2471-2473.

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