IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i1p1-17.html
   My bibliography  Save this article

High energy physics and the standard model from the exceptional Lie groups

Author

Listed:
  • El Naschie, M.S.

Abstract

The paper is a collection of various ideas directed towards a possible interpretation of high energy particle physics in terms of the geometrical, topological and combinatorial properties of the exceptional Lie symmetry groups. In particular we discuss the true meaning of a golden standard model Lagrangian which does not depend on a considerable number of parameters not specified by the theory but put by hand based on experimental measurement. The pivotal role of E-infinity theory in “harmonizing” and thus simplifying complex expressions arising in the classical form of quantum field and string theories is outlined.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:1:p:1-17
    DOI: 10.1016/j.chaos.2007.08.058
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907006893
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.08.058?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. "From E-eight to E-Infinity," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 285-290.
    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., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    4. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    5. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    6. Marek-Crnjac, L., 2007. "Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 944-950.
    7. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    8. 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.
    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. Elokaby, Ayman, 2009. "Knot wormholes and the dimensional invariant of exceptional Lie groups and Stein space hierarchies," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1616-1618.
    2. 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.
    3. 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.
    4. El Naschie, M.S., 2008. "Deriving quarks confinement from the topology of quantum spacetime and heterotic string theory," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 193-195.
    5. El Naschie, M.S., 2008. "Average exceptional Lie and Coxeter group hierarchies with special reference to the standard model of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 662-668.
    6. El Naschie, M.S., 2008. "A new look at quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1170-1172.
    7. 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.
    8. 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.
    9. 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.
    10. El Naschie, M.S., 2008. "P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 612-614.
    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., 2008. "Mathematical foundation of E-Infinity via Coxeter and reflection groups," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1267-1268.
    13. El Naschie, M.S., 2008. "Towards a quantum field theory without Gribov copies and similar problems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 936-938.
    14. 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.
    15. El Naschie, M.S., 2009. "BPS states, dualities and determining the mass of elementary particles," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1263-1265.
    16. Basu, Manjusri & Prasad, Bandhu, 2009. "The generalized relations among the code elements for Fibonacci coding theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2517-2525.
    17. El Naschie, M.S., 2008. "Asymptotic freedom and unification in a golden quantum field theory," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 521-525.
    18. El Naschie, M.S., 2008. "Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1349-1354.
    19. 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., 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. 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., 2008. "An outline for a quantum golden field theory," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 317-323.
    4. Nozari, Kourosh & Mehdipour, S. Hamid, 2009. "Failure of standard thermodynamics in planck scale black hole system," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 956-970.
    5. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.
    6. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    7. Büyükkılıç, F. & Demirhan, D., 2009. "Cumulative growth with fibonacci approach, golden section and physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 24-32.
    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. 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.
    10. 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.
    11. Mukhamedov, Alfred M., 2007. "The two-slit gedanken experiment in E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 1-4.
    12. El Naschie, M.S., 2008. "From E-eight to E-Infinity," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 285-290.
    13. Ješić, Siniša N., 2009. "Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 292-301.
    14. 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.
    15. Mukhamedov, A.M., 2007. "E-infinity as a fiber bundle and its thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 717-724.
    16. 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.
    17. 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.
    18. El Naschie, M.S., 2008. "Average exceptional Lie and Coxeter group hierarchies with special reference to the standard model of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 662-668.
    19. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 649-656.
    20. El Naschie, M.S., 2008. "Kaluza–Klein unification – Some possible extensions," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 16-22.

    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:1:p:1-17. 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.