IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i5p1377-1381.html
   My bibliography  Save this article

From pointillism to E-infinity electromagnetism

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907001257
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.02.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Qingjiang & Liu, Baocang & Cao, Huaixin, 2009. "Construction of a sort of multiple pseudoframes for subspaces with filter banks," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 801-808.
    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 set of prime numbers: Symmetries and supersymmetries of selection rules and asymptotic behaviours," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 950-961.
    9. 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.
    10. Iovane, Gerardo, 2009. "The set of prime numbers: Multifractals and multiscale analysis," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1945-1958.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Agop, M. & Paun, V. & Harabagiu, Anca, 2008. "El Naschie’s ε(∞) theory and effects of nanoparticle clustering on the heat transport in nanofluids," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1269-1278.
    2. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.
    3. Gottlieb, I. & Agop, M. & Enache, V., 2009. "Games with Cantor’s dust," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 940-945.
    4. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.
    5. Agop, M. & Chicos, Liliana & Nica, P., 2009. "Transport phenomena in nanostructures and non-differentiable space–time," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 803-814.
    6. El Naschie, M.S., 2008. "Noether’s theorem, exceptional Lie groups hierarchy and determining 1/α≅137 of electromagnetism," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 99-103.
    7. Agop, M. & Murgulet, C., 2007. "Ball lightning as a self-organizing process of a plasma–plasma interface and El Naschie’s ε(∞) space–time," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 754-769.
    8. Kılıç, Emrah, 2009. "The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2047-2063.
    9. Kilic, E. & Stakhov, A.P., 2009. "On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2210-2221.
    10. El Naschie, M.S., 2008. "On a transfinite symmetry group with 10 to the power of 19 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 539-541.
    11. 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.
    12. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.
    13. Marek-Crnjac, L., 2008. "The connection between the electromagnetic fine structure constant α¯0 and the monster Lie algebra," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 257-262.
    14. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
    15. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
    16. Marek-Crnjac, L., 2007. "The fundamental coupling constants of physics in connection with the dimension of the special orthogonal and unitary groups," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1382-1386.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1377-1381. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.