2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89831It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a three-dimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view.11 pages, 5 figuresQuantum PhysicsA mechanistic macroscopic physical entity with a three-dimensional Hilbert space descriptiontext