TITLE:
Reverse Engineering Approach to Quantum Electrodynamics
AUTHORS:
Walter Smilga
KEYWORDS:
Quantum Electrodynamics; Fine-Structure Constant; Entanglement; Gauge Invariance; Reverse Engineering
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.5,
May
17,
2013
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 normalization factor can be calculated. For an irreducible two-particle representation of the Poincaré group, the calculated normalization 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.