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Multifractals and El Naschie E-infinity Cantorian space–time

Author

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  • Iovane, G.
  • Chinnici, M.
  • Tortoriello, F.S.

Abstract

The aim of this work is the analysis of multifractals in the context of Mohamed El Naschie’s ϵ(∞) Cantorian space–time applied to cosmology. As starting point we consider the results of the first author of the present paper describing scaling rules in nature, R(N)=(h/mnc)Nϕ. Then, we use multifractal analysis to show that the result, already developed by the authors as Brownian motion, is a Multifractal process. Indeed, Brownian paths play a crucial role if considered to be a multifractal. Moreover, we summarize some recent results concerning fractal structure and the Brownian paths in order to calculate fractal dimension and characteristic parameters for large scale structures and for the atomic elements that live in an El Naschie’s ϵ(∞) Cantorian space–time.

Suggested Citation

  • Iovane, G. & Chinnici, M. & Tortoriello, F.S., 2008. "Multifractals and El Naschie E-infinity Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 645-658.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:645-658
    DOI: 10.1016/j.chaos.2007.07.051
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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. Li, Yueling & Dai, Chaoshou, 2006. "A multifractal formalism in a probability space," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 57-73.
    3. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
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    2. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.
    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.

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