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Cantorian space–time and Hilbert space: Part II—Relevant consequences

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  • Iovane, G.

Abstract

In this paper, we will show the consequences of the link between ε(∞) and H(∞). Starting from El Naschie’s ε(∞) nature shows itself as an arena where the laws of physics appear at each scale in a self–similar way, linked to the resolution of the observations; while Hilbert’s space H(∞) is the mathematical support to describe the interaction between the observer and dynamical systems.

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  • Iovane, G., 2006. "Cantorian space–time and Hilbert space: Part II—Relevant consequences," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 1-22.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:1-22
    DOI: 10.1016/j.chaos.2005.10.045
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    References listed on IDEAS

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    1. George F. R. Ellis, 2003. "The shape of the Universe," Nature, Nature, vol. 425(6958), pages 566-567, October.
    2. El Naschie, M.S., 2005. "From the two-slit experiments to the expected number of Higgs particles in the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 67-70.
    3. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    4. 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.
    5. 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.
    6. Iovane, G. & Giordano, P., 2005. "Hypersingular integral equations, waveguiding effects in Cantorian Universe and genesis of large scale structures," Chaos, Solitons & Fractals, Elsevier, vol. 25(4), pages 879-896.
    7. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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    Cited by:

    1. El Naschie, M. Saladin, 2006. "Intermediate prerequisites for E-infinity theory (Further recommended reading in nonlinear dynamics and mathematical physics)," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 622-628.
    2. El Naschie, M.S., 2007. "Gauge anomalies, SU(N) irreducible representation and the number of elementary particles of a minimally extended standard model," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 14-16.
    3. 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.
    4. Iovane, G., 2009. "From Menger–Urysohn to Hausdorff dimensions in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2338-2341.
    5. Wu, Guochang & Cheng, Zhengxing & Li, Dengfeng & Zhang, Fangjuan, 2008. "Parseval frame wavelets associated with A-FMRA," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1233-1243.
    6. Iovane, Gerardo, 2008. "The set of prime numbers: Symmetries and supersymmetries of selection rules and asymptotic behaviours," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 950-961.
    7. Marek-Crnjac, L., 2008. "Lie groups hierarchy in connection with the derivation of the inverse electromagnetic fine structure constant from the number of particle-like states 548, 576 and 672," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 332-336.
    8. Llorens-Fuster, Enrique & Petruşel, Adrian & Yao, Jen-Chih, 2009. "Iterated function systems and well-posedness," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1561-1568.
    9. Sergeyev, Yaroslav D., 2007. "Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 50-75.

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