A Representation for a Spin-S Entity as a compound system in IR consisting of 2S Individual Spin-1/2 Entities

We generalize the results of [7] for the coherent states of a spin-1 entity to spin-S entities with S > 1 and to non-coherent spin states: through the introduction of ’hidden correlations’ (see [8]) we introduce a representation for a spin-S entity as a compound system consisting of 2S ’individual’ spin-1/2 entities, each of them represented by a ’proper state’, and such that we are able to consider a measurement on the spin-S entity as a measurement on each of the individual spin-1/2 entities. If the spin-S entity is in a maximal spin state, the 2S individual spin-1/2 entities behave as a collection of indistinguishable but separated entities. If not so, we have to introduce the same kind of hidden correlations as required for a hidden correlation representation of a compound quantum systems described by a symmetrical superposition. Moreover, by applying the Majorana representation of [11] and Aerts’ representation for a spin-1/2 entity of [3], this hidden correlation representation yields a classical mechanistic representation of a spin-S entity in R3.