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The purpose of this article is threefold. Firstly, it aims to present, in aneducational and non-technical fashion, the main ideas at the basis of Aerts'creation-discovery view and hidden measurement approach: a fundamentalexplanatory framework whose importance, in this author's view, has beenseriously underappreciated by the physics community, despite its success inclarifying many conceptual challenges of quantum physics. Secondly, it aims tointroduce a new quantum-machine - that we call the delta-quantum-machine -which is able to reproduce the transmission and reflection probabilities of aone-dimensional quantum scattering process by a Dirac delta-function potential.The machine is used not only to demonstrate the pertinence of the abovementioned explanatory framework, in the general description of physicalsystems, but also to illustrate (in the spirit of Aerts' epsilon-model) theorigin of classical and quantum structures, by revealing the existence ofprocesses which are neither classical nor quantum, but irreduciblyintermediate. We do this by explicitly introducing what we call the k-model andby proving that its processes cannot be modelized by a classical or quantumscattering system. The third purpose of this work is to exploit the powerfulmetaphor provided by our quantum-machine, to investigate the intimate relationbetween the concept of potentiality and the notion of non-spatiality, that wecharacterize in precise terms, introducing for this the new concept ofprocess-actuality.

The delta-quantum machine, the k-model, and the non-ordinary spatiality of quantum entities