Quantum physics and fractal space time

We argue for a new fractal space-time which is different from that of Nottale, Ord and El Naschie. The fractal here is a deterministic fractal, where a fractal seed on an M + 1 th scale, let us say, is about 10(40) times the diameter of the fractal seed on the M th fractal scale. At each scale, the fractal seed is the most fundamental particle on that scale and is the single Z(00) source in the Einstein equations, all other particles with mass are either excited states or multibody states of this particle. We lake the M th fractal scale to be the electron and the M + 1 th scale to be the Hubble universe. Next, we use the selfsimilarity between these two objects to solve for the metric, comoving with the Hubble expansion of the M + 1 scale (The Dirac equation can be derived here also). Plug these metric elements back into the metric equation (which then also derives a 1/(1 - r) potential) and then back into the Dirac equation. You then get tauon, muon, electron masses and QED results; but with only one vertex. The S matrix for this Dirac equation gives the I W and Z masses as resonance energies. Applying the M + 2 perturbation in the same way as the M + 1 perturbation, gives the three neutrino masses. Combining the M + 1 th and M + 2 solution into the zero energy vacuum gives the beta decay left, handedness and SU(Z)XU(1) gauge. Applying this theory within the r < 1 region, gives the quarks and QCD assymptotic freedom is implied by the 1/(1 - r) potential. We do a radial coordinate transformation of the Z(alpha beta) source to the expanding cosmological metric and get a new term added to Z(00). From this new term, we calculate the value of the Newtonian gravitational constant. (C) 1999 Elsevier Science Ltd. Ail rights reserved.