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From pointillism to E-infinity electromagnetism

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  • El Naschie, M.S.

Abstract

Pretty much like in a pointillism masterpiece of say Georges Seurat or Paul Signac, quantum space-time, which is in reality a collection of transfinite discrete set of points, appears when observed at a distance to be a nowhere disjoined continuum. This geometry which is best described by its Hausdorff dimension leads us ultimately to a radical change of some of our most basic mathematical assumptions with regard to the corresponding symmetry groups. Thus instead of being restricted to an integer value of the order of these symmetry groups, it seems natural to extend this order to the realm of irrational transfinite numbers. This step is not as strange as it may seem when we consider the role played by the factorial function n! in elementary group theory and its extension for non-integer value of n using the well-known Gauss’ Gamma function.

Suggested Citation

  • El Naschie, M.S., 2007. "From pointillism to E-infinity electromagnetism," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1377-1381.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1377-1381
    DOI: 10.1016/j.chaos.2007.02.016
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    References listed on IDEAS

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    1. El Naschie, M.S., 2007. "On D. Gross’ criticism of S. Eddington and an exact calculation of αo¯≃137," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1245-1249.
    2. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
    3. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
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    Cited by:

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    2. Iovane, Gerardo, 2009. "The set of prime numbers: Multiscale analysis and numeric accelerators," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1953-1965.
    3. Marek-Crnjac, L., 2008. "Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 517-520.
    4. He, Ji-Huan, 2008. "String theory in a scale dependent discontinuous space–time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 542-545.
    5. 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.
    6. Yang, Ciann-Dong, 2009. "Complex spin and anti-spin dynamics: A generalization of de Broglie–Bohm theory to complex space," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 317-333.
    7. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    8. Iovane, Gerardo, 2008. "The distribution of prime numbers: The solution comes from dynamical processes and genetic algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 23-42.
    9. 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.
    10. Iovane, Gerardo, 2009. "The set of prime numbers: Multifractals and multiscale analysis," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1945-1958.

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