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S beam will not yield a probability equal to one. The point is of course that there are other decay modes such as the semileptonic one into which the same kaon can decay. Obviously, these comments do not exclude a proportionality relation between the probabilities (2.10) and the joint decay rate (2.8) as we will give in Eq. (2.22).
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To clarify the notion of λ we quote here from Ref. [7] p. 1888: "We denote this state by the single symbol λ, although it may well have many dimensions, discrete and/or continuous parts, and different parts of it interacting with either apparatus, etc."
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A,B from which one can deduce Eq. (3.1) by specifying to the measurable probabilities associated to the choices a and b among those offered by the sets A and B. See also M. Ardehali, Phys. Rev. A 57, 114 (1998).
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0 system is non-zero (see Ref. [10] for a definition of ε′). It was then concluded that any measure of ε′ ≠0 is a test of the Bell inequalities with no need of a direct check. There is, however, no automatism "ε′ ≠0, then local realism is ruled out." Or, not every measure of ε′ is a test of local realism and quantum mechanics. It is known otherwise also that the quantum mechanical predictions violate the Bell inequalities. This does not spare us the experiment to confirm or reject this result. At the end Bell inequalities and related expressions for kaons address the question, how entangled kaons behave.
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