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It was recently noted the existence of an apparently discontinuous boundary between determinism and indeterminism in Quantum Mechanics. We propose to explore this boundary in an optical Bell’s experiment by recording the distribution, of the number of strings of outcomes of a given parity interrupted by outcomes of the other parity, as a function of their length. The features of these distributions for small rotations of the angle settings near critical points may indicate whether the underlying process is in-deterministic or not. Therefore, they may show that the boundary is discontinuous, or else, that determinism decays smoothly. The conditions the experimental setup must fulfill are discussed.

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