A Model of Composite Electrons and Photons

It is shown that electrons and photons can be considered as composities of particles belonging to the fundamental representations of the extended Lorentz group SU(3) ⊗ SU(3) in (8+1) dimensional space-time which are held together by force mediated by gauge particles belonging to the regular representation of this group. In this theory, spin states of electron, positron and photon form a 8⊗8 representation of the group. One can also accommodate the electron neutrinos, W and Z bosons as well super partners of all these particles in this model. The theory allows electron decay into photon and neutrino. There are only two parameters in this theory. These are the mass of the fundamental particles and the fine structure constant of their coupling with gauge particles. The former, estimated from the experimental limit on the electron life-time works out to be greater than 10−22 GeV and the latter works out to be unity by making use of Dirac ground state energy formula for the composite neutrino which is taken to be massless. These indicate that the compositeness of electron, photon and other particles will be revealed at Planckian energies.