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 n. The condition of being factorizable
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In arguments for the failure of factorizability, it is presupposed that the distant measurement outcomes in the EPR/B experiment are real physical events.

The analysis of factorizability: implications for quantum nonlocality

The motivation for this focus was that, granted plausible assumptions, factorizability must fail (see section 2), and its failure implies some type of nonlocality (see sections 28).

Some, notably Cartwright (1989) and Chang and Cartwright (1993), challenge the assumption that common causes always screen off the correlation between their effects, and accordingly they question the idea that nonfactorizability implies nonlocality.

As we shall see below, nonfactorizability also implies superluminal causal dependence according to certain accounts of causation.

In sections 57, we considered the nature of quantum nonlocality as depicted by theories that violate factorizability, i.e., the assumption that the probability of joint measurement outcomes factorizes into the single probabilities of these outcomes.

Another way to get around Bell's argument for nonlocality in the EPR/B experiment is to construct a model of this experiment that satisfies factorizability but violates Î»independence (i.e., the assumption that the distribution of all the possible pairs 'states in the EPR/B experiment is independent of the measured quantities).

Furthermore, while a violation of Î»independence provides a way out of Bell's theorem, it does not necessarily imply locality; for the violation of Î»independence is compatible with the failure of factorizability.

Recalling section 3, factorizability can be analyzed into a conjunction of two conditions:

In all the above interpretations of quantum mechanics, the failure of factorizability (i.e., the failure of the joint probability of the measurement outcomes in the EPR/B experiment to factorize into their single probabilities) involves nonseparability, holism and/or some type of action at a distance.
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