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  1. Description of many separated physical entities without the paradoxes encountered in quantum mechanics.Dirk Aerts - 1982 - Foundations of Physics 12 (12):1131-1170.
    We show that it is impossible in quantum mechanics to describe two separated physical systems. This is due to the mathematical structure of quantum mechanics. It is possible to give a description of two separated systems in a theory which is a generalization of quantum mechanics and of classical mechanics, in the sense that this theory contains both theories as special cases. We identify the axioms of quantum mechanics that make it impossible to describe separated systems. One of these axioms (...)
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  • Quantum particles as conceptual entities: A possible explanatory framework for quantum theory. [REVIEW]Diederik Aerts - 2009 - Foundations of Science 14 (4):361-411.
    We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More concretely, we propose that quantum particles interact with ordinary matter, nuclei, atoms, molecules, macroscopic material entities, measuring apparatuses, in a similar way to how human concepts interact with memory structures, human minds or artificial memories. We analyze the most characteristic aspects of quantum theory, i.e. entanglement and non-locality, interference and superposition, identity and (...)
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  • Louis Osgood Kattsoff. Modality and probability. The philosophical review, vol. 46 (1937), pp. 78–85.Garrett Birkhoff & John von Neumann - 1937 - Journal of Symbolic Logic 2 (1):44-44.
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  • The Character of Physical Law.Richard Phillips Feynman - 1965 - MIT Press.
    The law of gravitation, an example of physical law The relation of mathematics to physics The great conservation principles Symmetry in physical law The distinction of past and future Probability and uncertainty: the quantum mechanical view of nature Seeking new laws.
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  • Zur Quantenmechanik der Stoßvorgänge.Max Born - 1926 - Zeitschrift für Physik 37 (12):863-867.
    Durch eine Untersuchung der Stoßvorgänge wird die Auffassung entwickelt, daß die Quantenmechanik in der Schrödingerschen Form nicht nur die stationären Zustände, sondern auch die Quantensprünge zu beschreiben gestattet.
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  • Ephemeral Properties and the Illusion of Microscopic Particles.Massimiliano Sassoli de Bianchi - 2011 - Foundations of Science 16 (4):393-409.
    Founding our analysis on the Geneva-Brussels approach to quantum mechanics, we use conventional macroscopic objects as guiding examples to clarify the content of two important results of the beginning of twentieth century: Einstein–Podolsky–Rosen’s reality criterion and Heisenberg’s uncertainty principle. We then use them in combination to show that our widespread belief in the existence of microscopic particles is only the result of a cognitive illusion, as microscopic particles are not particles, but are instead the ephemeral spatial and local manifestations of (...)
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  • Quantum, classical and intermediate: An illustrative example. [REVIEW]Diederik Aerts & Thomas Durt - 1994 - Foundations of Physics 24 (10):1353-1369.
    We present a model that allows one to build structures that evolve continuously from classical to quantum, and we study the intermediate situations, giving rise to structures that are neither classical nor quantum. We construct the closure structure corresponding to the collection of eigenstate sets of these intermediate situations, and demonstrate how the superposition principle disappears during the transition from quantum to classical. We investigate the validity of the axioms of quantum mechanics for the intermediate situations.
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  • From Permanence to Total Availability: A Quantum Conceptual Upgrade.Massimiliano Sassoli de Bianchi - 2012 - Foundations of Science 17 (3):223-244.
    We consider the classical concept of time of permanence and observe that its quantum equivalent is described by a bona fide self-adjoint operator. Its interpretation, by means of the spectral theorem, reveals that we have to abandon not only the idea that quantum entities would be characterizable in terms of spatial trajectories but, more generally, that they would possess the very attribute of spatiality. Consequently, a permanence time shouldn’t be interpreted as a “time” in quantum mechanics, but as a measure (...)
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  • Relativity theory: What is reality? [REVIEW]Diederik Aerts - 1996 - Foundations of Physics 26 (12):1627-1644.
    In classical Newtonian physics there was a clear understanding of “what reality is.≓ Indeed in this classical view, reality at a certain time is the collection of all what is actual at this time, and this is contained in “the present.≓ Often it is stated that three-dimensional space and one-dimensional time hare been substituted by four-dimensional space-time in relativity theory, and as a consequence the classical concept of reality, as that which is “present,≓ cannot be retained. Is reality then the (...)
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  • A Representation for Compound Quantum Systems as Individual Entities: Hard Acts of Creation and Hidden Correlations. [REVIEW]Bob Coecke - 1998 - Foundations of Physics 28 (7):1109-1135.
    We introduce an explicit definition for “hidden correlations” on individual entities in a compound system: when one individual entity is measured, this induces a well-defined transition of the “proper state” of the other individual entities. We prove that every compound quantum system described in the tensor product of a finite number of Hilbert spaces can be uniquely represented as a collection of individual entities between which there exist such hidden correlations. We investigate the significance of these hidden correlation representations within (...)
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  • The Logic of Quantum Mechanics.Garrett Birkhoff, John Von Neumann, The Annals & No Oct - 2008 - 37 (4):823–843.
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  • The entity and modern physics.Diederik Aerts - 1998 - In Elena Castellani (ed.), Interpreting Bodies: Classical and Quantum Objects in Modern Physics. Princeton University Press. pp. 223--257.
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  • The modes of physical properties in the logical foundations of physics.Sonja Smets - 2005 - Logic and Logical Philosophy 14 (1):37-53.
    We present a conceptual analysis of the notions of actual physical property and potential physical property as used by theoretical physicists/mathematicians working in the domain of operational quantum logic. We investigate how these notions are being used today and what role they play in the specified field of research. In order to do so, we will give a brief introduction to this area of research and explain it as a part of the discipline known as “mathematical metascience”. An in depth (...)
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