Superluminal Electron-Positron Pair

Abstract It is deduced that when an electron and a positron form a stable structure, the dimensionless speed of either of them, α = v/C, where C is speed of light, satisfies the so-called basic equation of α^2 - b α = 1 = 0, where b is the reciprocal of α, the fine structure constant of a hydrogen atom. One of solutions to the basic equation, the superluminal speed, α 1 = b = 137.036, represents a superluminal pair of electron and positron, in which there is the Lorentz force only while neglecting the Coulomb force between the two particles at an ultrahigh speed. Another solution stands for a positronium with a short-lived life time. The superluminal pair of electron and positron or superluminal electron-positron pair consists of an electron and a positron moving at a superluminal speed of and has a stable quantized energy system with quantized energy of E ̃_n=2m_0e υ ̃_n^2=nhV ̃_n where v = nbC with n being an integer, and is able to radiate and absorb rays of electrons and positrons with ultrahigh energy. The superluminal electron-positron pair may possibly be a particle of dark matter. A divided superluminal electron-positron pair on an energy level n can release electrons and positrons, moving at a superluminal speed of v = nbC, which may possibly be particles of dark energy as well. Therefore, we are led to conclude that there might exist quantized superluminal motions of electrons and positrons in the universe.