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 alpha acts as a normalization factor. When the structure of the two-particle state space is known, a theoretical value of the normalization factor can be calculated. For an irreducible two-particle representation of the Poincare group, the calculated normalization factor matches Wyler's semi-empirical formula for the fine-structure constant alpha. The empirical value of alpha, therefore, provides experimental evidence that the state space of two interacting electrons belongs to an irreducible two-particle representation of the Poincare group.
Cite
@article{arxiv.1004.0820,
title = {Reverse Engineering Approach to Quantum Electrodynamics},
author = {Walter Smilga},
journal= {arXiv preprint arXiv:1004.0820},
year = {2016}
}
Comments
12 pages, minor changes