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

TL;DR

This paper introduces the delta-quantum-machine and the k-model to explore non-classical, non-quantum processes, emphasizing the importance of Aerts' creation-discovery view in understanding quantum phenomena and non-spatiality.

Contribution

It presents a new quantum-machine and the k-model, demonstrating processes that are neither classical nor quantum, and links potentiality with non-spatiality through the concept of process-actuality.

Findings

The delta-quantum-machine reproduces quantum scattering probabilities.

The k-model exhibits processes beyond classical and quantum descriptions.

A new conceptual link between potentiality and non-spatiality is established.

Abstract

The purpose of this article is threefold. Firstly, it aims to present, in an educational and non-technical fashion, the main ideas at the basis of Aerts' creation-discovery view and hidden measurement approach: a fundamental explanatory framework whose importance, in this author's view, has been seriously underappreciated by the physics community, despite its success in clarifying many conceptual challenges of quantum physics. Secondly, it aims to introduce a new quantum-machine - that we call the delta-quantum-machine - which is able to reproduce the transmission and reflection probabilities of a one-dimensional quantum scattering process by a Dirac delta-function potential. The machine is used not only to demonstrate the pertinence of the above mentioned explanatory framework, in the general description of physical systems, but also to illustrate (in the spirit of Aerts' epsilon-model) the origin of classical and quantum structures, by revealing the existence of processes which are neither classical nor quantum, but irreducibly intermediate. We do this by explicitly introducing what we call the k-model and by proving that its processes cannot be modelized by a classical or quantum scattering system. The third purpose of this work is to exploit the powerful metaphor provided by our quantum-machine, to investigate the intimate relation between the concept of potentiality and the notion of non-spatiality, that we characterize in precise terms, introducing for this the new concept of process-actuality.