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Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model

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  • El Naschie, M.S.

Abstract

A knot theory interpretation of ‘tHooft’s instanton based on hyperbolic volume, crossing numbers and exceptional Lie symmetry groups is given. Subsequently it is shown that although instantons and particle-like states of Heterotic super strings may appear to be different concepts, on a very deep fuzzy level they are not.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1349-1354
    DOI: 10.1016/j.chaos.2008.07.002
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    References listed on IDEAS

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    1. Elnaschie, M.S., 2008. "From classical gauge theory back to Weyl scaling via E-Infinity spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 980-985.
    2. 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.
    3. El Naschie, M.S., 2008. "P-Adic unification of the fundamental forces and the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1011-1012.
    4. El Naschie, M.S., 2008. "Transfinite harmonization by taking the dissonance out of the quantum field symphony," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 781-786.
    5. 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.
    6. 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.
    7. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    8. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    9. El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
    10. El Naschie, M.S., 2008. "Using Witten’s five Brane theory and the holographic principle to derive the value of the electromagnetic fine structure constant α¯0=1/137," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1051-1053.
    11. 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.
    12. El Naschie, M.S., 2008. "Quantum golden field theory – Ten theorems and various conjectures," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1121-1125.
    13. El Naschie, M.S., 2008. "Yang–Mills instanton via exceptional Lie symmetry groups and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 925-927.
    14. 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.
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    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. Elokaby, A., 2009. "On the deep connection between instantons and string states encoder in Klein’s modular space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 303-305.
    3. El Naschie, M.S., 2008. "Fuzzy multi-instanton knots in the fabric of space–time and Dirac’s vacuum fluctuation," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1260-1268.
    4. 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.
    5. Malinowski, Leonard J., 2009. "Golden mean energy equals highest atomic electron orbital energy," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3130-3131.
    6. El Naschie, M.S., 2009. "Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2163-2167.
    7. 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.
    8. Malinowski, Leonard J., 2009. "Electronic golden structure of the periodic chart," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1396-1405.

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