IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v35y2008i4p684-687.html
   My bibliography  Save this article

Roots lattice hierarchies of exceptional Lie symmetry groups and the elementary particles content of the standard model

Author

Listed:
  • El Naschie, M.S.

Abstract

We review ‘t Hooft’s counting of elementary particles of the standard model then extend it in the light of a new interpretation gained from a hierarchy of roots system belonging to the exceptional Lie symmetry groups. The final result, namely 69 particles is confirmed using Ji-Huan He’s 6 and 10 dimensional hypercube.

Suggested Citation

  • El Naschie, M.S., 2008. "Roots lattice hierarchies of exceptional Lie symmetry groups and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 684-687.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:684-687
    DOI: 10.1016/j.chaos.2007.07.084
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907005991
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.07.084?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., 2005. "Determining the number of Higgs particles starting from general relativity and various other field theories," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 711-726.
    2. 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.
    3. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    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., 2008. "Eliminating gauge anomalies via a “point-less” fractal Yang–Mills theory," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1332-1335.
    2. Naschie, M.S. El, 2008. "The standard model physical degrees of freedom interpretation of the electromagnetic fine structure coupling α¯o≃1/137," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 609-611.
    3. Marek-Crnjac, L., 2008. "From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1279-1288.

    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., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    2. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    3. Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
    4. Falcón, Sergio & Plaza, Ángel, 2009. "On k-Fibonacci sequences and polynomials and their derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1005-1019.
    5. 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.
    6. El Naschie, M.S., 2005. "On Pauli’s principles of “Zweiteilung und symmetrie verminderung” in Higgs physics and non-linear dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 739-745.
    7. El Naschie, M.S., 2005. "On the cohomology and instantons number in E-infinity Cantorian spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 13-17.
    8. El Naschie, M.S., 2008. "Conjectures regarding kissing spheres hierarchy and quantum gravity unification," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 346-350.
    9. He, Ji-Huan, 2008. "String theory in a scale dependent discontinuous space–time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 542-545.
    10. Chen, Qingjiang & Huo, Ailian, 2009. "The research of a class of biorthogonal compactly supported vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 951-961.
    11. El Naschie, M.S., 2009. "An irreducibly simple derivation of the Hausdorff dimension of spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1902-1904.
    12. Marek-Crnjac, L., 2008. "Exceptional and semi simple Lie groups hierarchies and the maximum number of elementary particles beyond the standard model of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 1-5.
    13. He, Ji-Huan, 2007. "Shrinkage of body size of small insects: A possible link to global warming?," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 727-729.
    14. Tanaka, Yosuke, 2006. "Elementary particle mass, subquark model and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 290-305.
    15. 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.
    16. El Naschie, M.S., 2005. "Spinorial content of the standard model, a different look at super-symmetry and fuzzy E-infinity hyper Kähler," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 303-311.
    17. El Naschie, M.S., 2008. "Conformal E-infinity theory, exceptional Lie groups and the elementary particle content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 216-219.
    18. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    19. He, Ji-Huan, 2009. "Hilbert cube model for fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2754-2759.
    20. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.

    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:35:y:2008:i:4:p:684-687. 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.