Particles do not travel through what we would normally consider to be space and time. They can not have that kind of trajectory since then at any specific place on that trajectory they would have a definite position and a definite momentum. Rather they travel through Hilbert space.[i.e. a complex vector space with inner product. But that is an inner product where the first term is complex. Not the same as the inner product with just the cosine. (QM needs the "i" for it does not work without it.)] So they do not have classical values in space and time as the Bell inequality shows. That is: the Bell inequality does not show non locality [or as sometimes called causality] as some people have suggested that are not familiar with QM. Rather they have values in Hilbert space. [So Bell's inequality does not show anything against relativity.]
[The way to conceive of this is that particles travel on a sphere inside the Hilbert space.]
