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On the Menger–Urysohn theory of Cantorian manifolds and transfinite dimensions in physics

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  • Wu, Guo-Cheng
  • He, Ji-Huan

Abstract

The paper introduces the Menger–Urysohn mathematical theory of dimensions and Cantorian manifolds. It is shown that this topological theory is the basis of El Naschie’s E-infinity Cantorian spacetime theory.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:781-783
    DOI: 10.1016/j.chaos.2009.02.007
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    References listed on IDEAS

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    1. Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    2. 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.
    3. 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.
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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. 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.
    3. 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.
    4. Iovane, G., 2009. "From Menger–Urysohn to Hausdorff dimensions in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2338-2341.

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