Reverse Engineering Approach to Quantum Electrodynamics

Abstract

The S matrix of e - e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine-structure constant α acts as a normalization factor. When the structure of the two-particle state space is known, a theoretical value of the normaliz a tion factor can be calculated. For an irreducible two-particle representation of the Poincaré group, the calculated nor malization factor matches Wyler’s semi-empirical formula for the fine-structure constant α . The empirical value of α , therefore, provides experimental evidence that the state space of two interacting electrons belongs to an irreducible two-particle representation of the Poincaré group.