Structural Characterization of Compoundness

We recover the rays in the tensor product of Hilbert spaces within a larger class of so called `states of compoundness', structured as a complete lattice with the `state of separation' as its top element. At the base of the construction lies the assumption that the cause of actuality of a property of one of the (as individual considered) entities in the compound system can be actuality of a property of the other one.