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In this paper we attempt to physically interpret the Modal Kochen- Specker(MKS) theorem. In order to do so, we analyze the features of the possibleproperties of quantum systems arising from the elements in an orthomodularlattice and distinguish the use of "possibility" in the classical and quantumformalisms. Taking into account the modal and many worlds non-collapseinterpretation of the projection postulate, we discuss how the MKS theoremrules the constraints to actualization, and thus, the relation between actualand possible realms.

Interpreting the modal Kochen-Specker theorem: possibility and many worlds in quantum mechanics