By Boresi A.P., Schmidt R.J.

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18 Introduction It would however not be correct to conclude that this experimental evidence constitutes an argument against local realism, since there are well-known local models capable of reproducing the quantum-mechanical predictions for the experiments on double rescattering following electronpositron annihilation into two gamma rays. One such model was proposed by Kasday (1971). Suppose there are two "hidden" vectors Al and A2 associated with photon ex and photon /3, respectively, and let the photons ultimately scatter in the directions of these vectors.

The dichotomic observable A(a), while in a distance region of space a second observer 013 measures on (3 another dichotomic observable B( b). ) • and (J({3) . b, where the experimental parameters are the unit vectors aand b. They could be fixed experimentally, for example, by the directions of the inhomogeneous magnetic fields of two Stern-Gerlach apparatuses. In practice, any physical quantity can be used to define a dichotomic observable: for instance one could say that A(a) = ±1 if the energy of an atom is above or below a certain level a.

However, according to de Broglie, a unique wave train is possible, only if the two particles are near to one another. Therefore the usual quantum formulas should break down at distances larger than the coherence length of the two wave packets. The Bohm-Aharonov hypothesis has recently been rediscovered by Piccioni and Mehlhop (1987), who also came to the conclusion that the singlet state does not exist because it leads to unacceptable action at a distance. 19 History of the EPR Paradox 2. Inequalities from Einstein Locality I hope that the rigor and beauty of the argument of EPR is apparent.