What is the physical justification for using mr^2 = constant? Are you still using the classical electron radius for the electron, which is known not to be the actual electron radius?
Why should these fractions exist? (Your whole justification seems to boil down to the FQHE, which is a collective behavior expressed only under a very specific, narrow range of circumstances)
If these are manifestations of a single particle, how do you reconcile this with different spin states and different charge that we observe?