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Reverse Engineering Approach to Quantum Electrodynamics

Authors
  • Smilga, Walter
Type
Published Article
Publication Date
Jan 30, 2016
Submission Date
Apr 06, 2010
Identifiers
DOI: 10.4236/jmp.2013.45079
Source
arXiv
License
Yellow
External links

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.

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