On the dual topological quantum numbers filling factors

We consider recent experimental results [W. Pan et al, Phys. Rev. Lett. 90, 016801 (2003)] for occurrence of the fractional quantum Hall effect-FQHE under the perspective of our formulation in terms of fractons. These objects carry rational or irrational values of spin and satisfy a fractal distribution function associated with a fractal von Newmann entropy. According to our approach the FQHE occurs in pairs of dual topological quantum numbers fillings factors and this geometrical character comes from the connection betwenn the fractal parameter or Hausdorff dimension h and the spin s of the particles. We suggest to the experimentalists consider our ideas and verify in fact that this phenomenon of FQHE satisfies a symmetry principle discovered by us, i.e, the duality symmetry betwenn universal classes of fractons. PACS numbers: 71.10.Pm, 05.30.-d, 73.43.Cd