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On the Witten–Duff five Branes model together with knots theory and E8E8 super strings in a single fractal spacetime theory

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  • El Naschie, M.S.

Abstract

The Witten–Duff five Branes in 11 dimensions model which leads to N=528 states is reviewed. A complimentary model leading to N=496 of E8E8 exceptional Lie symmetry group is established along identical ideas. Subsequently both models are combined into a general one which includes the zero-form missing in the original five Branes model. Finally a highly instructive connection to ∣E12∣=685 Lie symmetry group which encompasses E11 as well as the number of distinct knots for given crossing numbers is established. It is concluded that it is easier to transfinitely extend the five Branes model than to add additional roots of exceptional Lie groups in order to find the exact answer.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2018-2021
    DOI: 10.1016/j.chaos.2008.08.005
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    1. Crasmareanu, Mircea & Hreţcanu, Cristina-Elena, 2008. "Golden differential geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1229-1238.
    2. 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.
    3. 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.
    4. 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.
    5. El Naschie, M.S., 2008. "One and two-stein space hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1189-1190.
    6. 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.
    7. 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.
    8. 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.
    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. "Towards a quantum field theory without Gribov copies and similar problems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 936-938.
    11. El Naschie, M.S., 2008. "Anomalies free E-infinity from von Neumann’s continuous geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1318-1322.
    12. El Naschie, M.S., 2005. "A P-Brane vindication of the two Higgs-doublet minimally super-symmetric standard model and related issues," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1511-1514.
    13. El Naschie, M.S., 2009. "Kac–Moody exceptional E12 from simplictic tiling," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1569-1571.
    14. 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.
    15. Munroe, Ray, 2009. "The MSSM, E8, Hyperflavor E12 and E∞ TOE’s compared and contrasted," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1557-1560.
    16. 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.
    17. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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    1. Zmeskal, Oldrich & Vala, Martin & Weiter, Martin & Stefkova, Pavla, 2009. "Fractal–cantorian geometry of space-time," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1878-1892.
    2. El Naschie, M.S., 2009. "Deriving the curvature of fractal-Cantorian spacetime from first principles," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2259-2261.
    3. 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.
    4. Elokaby, A., 2009. "On the Fibonacci origin of the internal symmetries of super strings and 5-Brane in 11 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2502-2504.

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