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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.


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

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W. Smilga -Reverse Engineering Approach to Quantum Electrodynamics,- Journal of Modern Physics, Vol. 4 No. 5, 2013, pp. 561-571. doi: 10.4236-jmp.2013.45079.

Autor: Walter Smilga



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