The masses of the first family of fermions and of the Higgs boson are equal to integer powers of 2

Abstract

We noticed that the first family of fermions and the Higgs boson have masses which are equal to integer powers of 2 in eV/c2 units (i.e. in the Planck length units). We made the hypothesis that, if spacetime is composed of small hypercubes of one Planck length edge, it exists elementary wavefunctions which are equal to 2exp⁡(ikxi) if it corresponds to a space dimension or equal to 2exp⁡(iωt) if it corresponds to a time dimension. By using the Dirac propagation equation and combinatorics we showed that the electron has a mass of 219eV/c2, the quark has a mass of 221eV/c2 and the electron neutrino has a mass of 2eV/c2. Finally, the Higgs boson is showed to have a mass of 237eV/c2.