IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i4p1569-1571.html
   My bibliography  Save this article

Kac–Moody exceptional E12 from simplictic tiling

Author

Listed:
  • El Naschie, M.S.

Abstract

We give various derivations for the order of a new non classical exceptional Lie group E12. We start from the simplest polyhedra of ordinary three dimensional space and arrive at the exact integer value ∣E12∣=685. Subsequently we show that a corresponding infinite dimensional but hierarchal KAC–Moody algebra called 4D fusion algebra leads to an exact transfinite dimension equal toDim E12=(5)(α¯o)=685.410197,where α¯o=137.082039325 is the E-infinity electromagnetic fine structure constant.

Suggested Citation

  • El Naschie, M.S., 2009. "Kac–Moody exceptional E12 from simplictic tiling," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1569-1571.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1569-1571
    DOI: 10.1016/j.chaos.2008.06.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908002889
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.06.020?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., 2008. "The internal dynamics of the exceptional Lie symmetry groups hierarchy and the coupling constants of unification," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1031-1038.
    2. El Naschie, M.S., 2005. "On 336 kissing spheres in 10 dimensions, 528 P-Brane states in 11 dimensions and the 60 elementary particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 447-457.
    3. El Naschie, M.S., 2008. "Quasi exceptional E12 Lie symmetry group with 685 dimensions, KAC-Moody algebra and E-infinity Cantorian spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 990-992.
    4. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    5. El Naschie, M.S., 2008. "Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5)," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 956-961.
    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. El Naschie, M.S., 2009. "Derivation of the Euler characteristic and the curvature of Cantorian-fractal spacetime using Nash Euclidean embedding and the universal Menger sponge," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2394-2398.
    2. Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    3. El Naschie, M.S., 2009. "On the Witten–Duff five Branes model together with knots theory and E8E8 super strings in a single fractal spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2018-2021.

    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. El Naschie, M.S., 2009. "The theory of Cantorian spacetime and high energy particle physics (an informal review)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2635-2646.
    2. El Naschie, M.S., 2009. "On the Witten–Duff five Branes model together with knots theory and E8E8 super strings in a single fractal spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2018-2021.
    3. El Naschie, M.S., 2009. "On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2725-2732.
    4. El Naschie, M.S., 2009. "Knots and exceptional Lie groups as building blocks of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1799-1803.
    5. El Naschie, M.S., 2008. "Anomalies free E-infinity from von Neumann’s continuous geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1318-1322.
    6. El Naschie, M.S., 2008. "Conjectures regarding kissing spheres hierarchy and quantum gravity unification," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 346-350.
    7. El Naschie, M.S., 2007. "The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 537-547.
    8. He, Ji-Huan, 2007. "On the number of elementary particles in a resolution dependent fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1645-1648.
    9. 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.
    10. El Naschie, M.S., 2009. "Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2163-2167.
    11. El Naschie, M.S., 2008. "Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5)," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 956-961.
    12. El Naschie, M.S., 2009. "The crystallographic space groups and Heterotic string theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2282-2284.
    13. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
    14. Munroe, Ray, 2009. "Symplectic tiling, hypercolour and hyperflavor E12," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2135-2138.
    15. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    16. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    17. El Naschie, M.S., 2009. "Arguments for the compactness and multiple connectivity of our cosmic spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2787-2789.
    18. El Naschie, M.S., 2008. "Quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 6-8.
    19. Marek-Crnjac, L., 2006. "Different Higgs models and the number of Higgs particles," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 575-579.
    20. Liang, Y.S. & Su, W.Y., 2007. "The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 682-692.

    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:41:y:2009:i:4:p:1569-1571. 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.