Period Doubling Phenomenon as the Origin of Electron Properties

It is proposed that the electrons have an intrinsic periodic property, which determines particle’s rest energy, electric charge, and magnetic moment. Numerical analysis shows that the correct periods are generated by a precise period doubling cascade starting at the Planck scale. Periods corresponding to the values of the intrinsic physical properties of the electron and positron belong to a subset of stable periods. The periodic structures of the rest energy and magnetic moment consist of three internal degrees of freedom, whereas the Coulomb energy of the electric charge consists of four. The number of period doublings for the elementary charge determines the value of the fine structure constant alpha.