  A locally causal hidden-variable theory of quantum physics need not be
constrained by the Bell inequalities if this theory also partially violates the
measurement independence condition. However, such violation can appear
unphysical, implying implausible conspiratorial correlations between the
hidden-variables of particles being measured and earlier determinants of
instrumental settings. A novel physically plausible explanation for such
correlations is proposed, based on the hypothesis that states of physical
reality lie precisely on a non-computational measure-zero dynamically invariant
set in the state space of the universe: the Cosmological Invariant Set
Postulate. To illustrate the relevance of the concept of a global invariant
set, a simple analogy is considered where a massive object is propelled into a
black hole depending on the decay of a radioactive atom. It is claimed that a
locally causal hidden-variable theory constrained by the Cosmological Invariant
Set Postulate can violate the CHSH inequality without being conspiratorial,
superdeterministic, fine-tuned or retrocausal, and the theory readily
accommodates the classical compatibilist notion of (experimenter) free will.
