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

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  • 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
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "From E-eight to E-Infinity," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 285-290.
    2. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    3. 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.
    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. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    7. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    8. 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.
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    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. "Towards a quantum field theory without Gribov copies and similar problems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 936-938.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. El Naschie, M.S., 2008. "A new look at quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1170-1172.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.

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