IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i3p546-549.html
   My bibliography  Save this article

Freudental magic square and its dimensional implication for α¯0≃137 and high energy physics

Author

Listed:
  • El Naschie, M.S.

Abstract

Modern theories of high energy physics are based in one way or another on Lie symmetry group’s considerations. In particular the exceptional family plays a pivotal role in superstring and E-infinity theory. For a long time the very existence of the famous 5 exceptional Lie groups G2, F4, E6, E7 and E8 with dimensions 14; 52, 78, 133 and 248 was bizarre. Freudental magic square gives some reasons to believe that the exceptional groups are not that exceptional. In the present work we elaborate this point further still and show that the sum of the dimension of E8, E7 and E6 when adding the dimensions of the two grand unification groups SO(10) and SU(4) to them amounts to the number of states in Witten’s p=5 Brane model, namely 528. Furthermore when taking the standard model SU(3) SU(2) U(1) and an eight degrees of freedom Higgs field into account, the number rises to 4 multiplied with 137 of the inverse electromagnetic fine structure constant 528+12+8=4α¯0=(4)(137)=548. The general implications of these results for high energy physics are briefly discussed.

Suggested Citation

  • El Naschie, M.S., 2008. "Freudental magic square and its dimensional implication for α¯0≃137 and high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 546-549.
  • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:546-549
    DOI: 10.1016/j.chaos.2007.09.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907007497
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.09.017?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. Naschie, M.S. El, 2005. "On the possibility of six gravity related particles in the standard model of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1491-1496.
    2. El Naschie, M.S., 2008. "Derivation of Newton’s gravitational fine structure constant from the spectrum of Heterotic superstring theory," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 303-307.
    3. El Naschie, M.S., 2008. "Symmetry group prerequisite for E-infinity in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 202-211.
    4. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    5. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    6. El Naschie, M.S., 2005. "A tale of two Kleins unified in strings and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 247-254.
    7. El Naschie, M.S., 2008. "String theory, exceptional Lie groups hierarchy and the structural constant of the universe," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 7-12.
    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. Halayka, S., 2009. "Some visually interesting non-standard quaternion fractal sets," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2842-2846.

    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., 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.
    2. El Naschie, M.S., 2008. "Quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 6-8.
    3. El Naschie, M.S., 2008. "Bounds on the number of possible Higgs particles using grand unification and exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 633-637.
    4. 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.
    5. 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.
    6. El Naschie, M.S., 2008. "Exact non-perturbative derivation of gravity’s G¯4 fine structure constant, the mass of the Higgs and elementary black holes," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 346-359.
    7. Liu, Zhanwei & Hu, Guoen & Wu, Guochang & Jiang, Bin, 2008. "Semi-orthogonal frame wavelets and Parseval frame wavelets associated with GMRA," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1449-1456.
    8. El Naschie, M.S., 2008. "Removing spurious non-linearity in the structure of micro-spacetime and quantum field renormalization," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 60-64.
    9. 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.
    10. El Naschie, M.S., 2009. "Higgs mechanism, quarks confinement and black holes as a Cantorian spacetime phase transition scenario," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 869-874.
    11. El Naschie, M.S., 2008. "High energy physics and the standard model from the exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 1-17.
    12. 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.
    13. El-Okaby, Ayman A., 2008. "Exceptional Lie groups, E-infinity theory and Higgs Boson," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1305-1317.
    14. El Naschie, M.S., 2008. "Kaluza–Klein unification – Some possible extensions," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 16-22.
    15. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
    16. Zhu, Xiuge & Wu, Guochang, 2009. "A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2484-2490.
    17. 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.
    18. 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.
    19. 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.
    20. Sadeghi, J. & Pahlavani, M. & Emadi, A., 2008. "The group SO(4) and generalized function," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 308-312.

    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:36:y:2008:i:3:p:546-549. 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.