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The supersymmetric components of the Riemann–Einstein tensor as nine dimensional spheres in ten dimensional space

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  • El Naschie, M.S.

Abstract

In eight dimensional superspace, the number of independent components of the Riemann–Einstein tensor is R(8)=336. The paper shows that these components could be given a geometrical interpretation as a hyperbolic tesselation via the (k=11−4=7) modular group Γ(7). In addition the components may be viewed as 336 particles-like states resembling 9-dimensional spheres in 10 dimensional space. Finally a relation to the 528 killing vector fields in 32 dimensional super and maximally symmetric space related to 11 dimensional P-Branes with 528=(336)(11/7) states is established.

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  • El Naschie, M.S., 2005. "The supersymmetric components of the Riemann–Einstein tensor as nine dimensional spheres in ten dimensional space," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 29-32.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:29-32
    DOI: 10.1016/j.chaos.2004.09.002
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    Cited by:

    1. Marek-Crnjac, L., 2008. "The connection between the order of simple groups and the maximum number of elementary particles," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 641-644.
    2. Marek-Crnjac, L., 2006. "Different Higgs models and the number of Higgs particles," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 575-579.
    3. 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.

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