Ja n 20 07 Further de - Entangling Entanglement

A recent general model of entanglement, [5], that goes much beyond the usual one based on tensor products of vector spaces is further developed here. It is shown that the usual Cartesian product can be seen as two extreme particular instances of non-entanglement. Also the recent approach to entanglement in [8] is incorporated in the general model in [5]. The idea pursued is that entanglement is by now far too important a phenomenon in Quantum Mechanics, in order to be left confined to its present exclusive modelling by tensor products. Once this is realized, it turns out that one can quite easily de-entangle entanglement from tensor products, and in fact, one can do so in a large variety of ways. Within such general settings the issue of entan-glement becomes connected with the issue of " System versus Subsystem " in General Systems Theory, where synthesizing subsystems into a system may often be less difficult than identifying subsystems in a system. It is by now well and widely understood that entanglement is an essential physical phenomenon, and in fact, also a major resource, in Quantum Mechanics. As such, entanglement appeared for the first 1