Abstract

We generalize the results of Ref. 7 for the coherent states of a spin-1 entity to spin-S entities with S > 1 and to noncoherent spin states: through the introduction of “hidden correlations” (see Ref. 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 spin1/2 entities. If the spin-S entity is in a maximal spin state, the 2S individual spin1/2 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 system described by a symmetrical superposition. Moreover, by applying the Majorana representation of Ref. 11 and Aerts' representation for a spin-1/2 entity of Ref. 3, this hidden correlation representation yields a classical mechanistic representation of a spin-S entity in $ \mathbb{R}^{\text{3}} $