On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics

M.S. El Naschie

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2725-2732

Abstract: The mathematics needed for establishing the concept of point-like curvature in fractal-Cantorian spacetime are introduced. The corresponding energy expressions are derived. For a Cantorian spacetime manifold modeled by a fuzzy K3 Kähler it is found that the total curvature corresponding to a Hausdorff dimension 4+ϕ3=4.236067977 is K=26+k=26.18033989. The corresponding internal energy is shown to be given by the dimension of Munroe’s quasi exceptional Lie symmetry group E12, namely 685.4101968. It should be noted that with K found explicitly and as a function of the resolution, writing the equivalent Lagrangian of E-infinity becomes trivial and in addition the dynamics of the theory is manifested in the corresponding Wyle golden ring scaling.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2725-2732

DOI: 10.1016/j.chaos.2008.10.001

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