Reverse Engineering Approach to Quantum Electrodynamics

Walter Smilga

Geretsried, Germany.

DOI: 10.4236/jmp.2013.45079                

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.

Keywords

Quantum Electrodynamics; Fine-Structure Constant; Entanglement; Gauge Invariance; Reverse Engineering

Conflicts of Interest

The authors declare no conflicts of interest.

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