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

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 Kahler it is found that the total curvature corresponding to a Hausdorff dimension 4 + phi(3) = 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. (C) 2009 Elsevier Ltd. All rights reserved.