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Abstract: The S matrix of e-e scattering has the structure of a projection operatorthat projects incoming separable product states onto entangled two-electronstates. In this projection operator the empirical value of the fine-structureconstant alpha acts as a normalization factor. When the structure of thetwo-particle state space is known, a theoretical value of the normalizationfactor can be calculated. For an irreducible two-particle representation of thePoincare group, the calculated normalization factor matches Wyler-ssemi-empirical formula for the fine-structure constant alpha. The empiricalvalue of alpha, therefore, provides experimental evidence that the state spaceof two interacting electrons belongs to an irreducible two-particlerepresentation of the Poincare group.



Author: Walter Smilga

Source: https://arxiv.org/



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