Unification of charge of the electron with proton and neutron through quantum Hall effect

In the Dirac equation there are solutions such that one particle is negatively charged and the other is positively charged. A particle of zero charge can also be introduced. The sum of the three charges is zero. We report that it is possible to have the sum of the charges equal to zero by using fractions. Similarly, l+s, is conserved in the Dirac equation but l-s, is not. We use negative spin for the spin so that l-s, is conserved. We find that there is a contribution to the charge which is of the form [GRAPHICS] which for l=0 gives +/-1/2 for the charge but for l=1, the charges of +/-1/6 are generated. Combined with 1/2, the charges become (1/2)+/-(1/6) which for two particles adds to 1. In this way the charges become 1/3 and 2/3 instead of 0, +/-1. This means that spin of the electron behaves like the charge. This phenomenon is well known for neutron and proton which have charges of 0 and +1, but it is new for the electron. Our representation of +/-1/3 and +/-2/3 still adds to zero as does the 0, 1 except that now there are four particles where there were only 3.