String theory, exceptional Lie groups hierarchy and the structural constant of the universe

We introduce a new Magnum Fuzzy Kähler manifold with 548.328 fractal-like states. The work is based on some recent results revealing a curious finite exceptional Lie symmetry groups hierarchy. Those results support strongly claims that with a probability equal to 1, nine elementary particles are still missing from the standard model. The present paper provides further mathematical arguments for the correctness of the claim and links it to the 2D Map of E8.