The δ-Quantum Machine, the k-Model, and the Non-ordinary Spatiality of Quantum Entities

Foundations of Science 18 (1):11-41 (2013)
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 δ 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’ ∊-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
Keywords Quantum structures  Creation-discovery view  Hidden measurement approach  One-dimensional scattering  Delta-function potential  Potentiality  Non-spatiality
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DOI 10.1007/s10699-011-9284-1
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References found in this work BETA
The Logic of Quantum Mechanics.Garrett Birkhoff & John von Neumann - 1937 - Journal of Symbolic Logic 2 (1):44-45.
Relativity Theory: What is Reality? [REVIEW]Diederik Aerts - 1996 - Foundations of Physics 26 (12):1627-1644.

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