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A Feynman path integral-like method for deriving the four dimensionality of spacetime from first principles

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  • Marek-Crnjac, L.

Abstract

Using a Feynman path integral-like summing procedure we can establish two exact statistical averages for the topological and the Hausdorff dimension of a fractal-Cantorian spacetime. By equating the two expressions we find the Hausdorff and the topological dimension to be 4+ϕ3 and 4, respectively, where ϕ=(5-1)/2.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2471-2473
    DOI: 10.1016/j.chaos.2008.09.014
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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.
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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. Mohiuddine, S.A., 2009. "Stability of Jensen functional equation in intuitionistic fuzzy normed space," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2989-2996.
    3. 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.
    4. 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.
    5. El Naschie, M.S., 2009. "Arguments for the compactness and multiple connectivity of our cosmic spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2787-2789.

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