[aatd86]

Isn't entanglement in quantum physics the manifestation of shared state? tongue-in-cheek

[psychoslave]

Maybe. Or maybe we observe the same point of information source from two points which happen to be distant in the 3-coordinates we are accustomized to deal with, but both close to this single point in some other.

[aatd86]

but that still means that there is shared state on the projection from the higher tensor space.

orthogonality needs to be valid for all subspaces.