In state |ψ9⟩, the properties of the particle pair do not supervene upon the properties of its subsystems and the spatiotemporal relations between them.

The failure of property composition implies that the quantum realm as depicted by the above version of the modal interpretation involves state non-separability and property and relational holism. State separability fails because the state of the particle pair is not generally determined by the separate states of the particles. Indeed, as is easily shown, the actual properties that the L- and the R-particle each has in the state |ψ9> are also compatible with product states in which the L- and