  The EPR paradox is known as an interpretive problem, as well as a technical
discovery in quantum mechanics. It defined the basic features of two-quantum
entanglement, as needed to study the relationships between two non-commuting
variables. In contrast, four variables are observed in a typical Bell
experiment. This is no longer the same problem. The full complexity of this
process can only be captured by the analysis of four-quantum entanglement.
Indeed, a new paradox emerges in this context, with straightforward
consequences. Quantum mechanics cannot violate CHSH-type inequalities, in the
same sense in which local realism cannot do it. The solution is to assume that
quantum correlations do not work at the level of full populations, when
violations occur, but only apply to incompatible slices of input beams.
