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Cantorian space–time, Fantappie’s final group, accelerated universe and other consequences

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  • Iovane, G.

Abstract

In this paper we introduce Mohamed El Naschie’s ϵ(∞) Cantorian space–time in connection with stochastic self-similar processes to give a possible explanation of the segregation of the Universe at fixed scale; then by considering the Fanntappie’s transformation group we show how the universe could appear accelerated on Cantorian space–time.

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  • Iovane, G., 2006. "Cantorian space–time, Fantappie’s final group, accelerated universe and other consequences," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 618-629.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:3:p:618-629
    DOI: 10.1016/j.chaos.2005.04.093
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    1. George F. R. Ellis, 2003. "The shape of the Universe," Nature, Nature, vol. 425(6958), pages 566-567, October.
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    Cited by:

    1. Iovane, Gerardo & Giordano, Paola, 2007. "Wavelets and multiresolution analysis: Nature of ε(∞) Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 896-910.
    2. Iovane, G., 2007. "Hypersingular integral equations, Kähler manifolds and Thurston mirroring effect in ϵ(∞) Cantorian spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1041-1053.
    3. Santini, Eduardo Sergio & Lemarchand, Guillermo Andrés, 2006. "Accelerated expansion in a stochastic self-similar fractal universe," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1099-1105.
    4. Iovane, G., 2006. "Cantorian space–time and Hilbert space: Part II—Relevant consequences," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 1-22.
    5. Halayka, S., 2009. "Is the anisotropic interaction of luminous matter responsible for the extrinsic gravitation usually attributed to exotic dark matter?," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 113-118.

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    2. Iovane, G., 2007. "Hypersingular integral equations, Kähler manifolds and Thurston mirroring effect in ϵ(∞) Cantorian spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1041-1053.
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