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arXiv:0711.4738

Interpreting the Quantum Wave Function in Terms of 'Interacting Faculties'

Christian DE RONDE

Published Nov 29, 2007• 2 citations
arXivHTMLPDF

Abstract

In this article we discuss the problem of finding an interpretation of quantum mechanics which provides an objective account of physical reality. In the first place we discuss the problem of interpretation and analyze the importance of such an objective account in physics. In this context we present the problems which arise when interpreting the quantum wave function within the orthodox formulation of quantum mechanics. In connection to this critic, we expose the concept of 'entity' as an epistemological obstruction. In the second part of this paper we discuss the relation between actuality and potentiality in classical and quantum physics, and continue to present the concept of 'ontological potentiality' which is distinguished from the generic Aristotelian notion of potentiality in terms of 'becoming actual'. In this paper our main aim is to provide an objective interpretation of quantum mechanics which allows us to discuss the meaning of physical reality according to the theory. For this specific propose we present the concept of 'faculty' in place of the concept of 'entity'. Within our theory of faculties, we continue to discuss and interpret two paradigmatic experiments of quantum mechanics such as the double-slit and Schrodinger's cat.

DOI
10.48550/arxiv.0711.4738

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In this article we discuss the problem of finding an interpretation of quantum mechanics which provides an objective account of physical reality. In the first place we discuss the problem of interpretation and analyze the importance of such an objective account in physics. In this context we present the problems which arise when interpreting the quantum wave function within the orthodox formulation of quantum mechanics. In connection to this critic, we expose the concept of 'entity' as an epistemological obstruction. In the second part of this paper we discuss the relation between actuality and potentiality in classical and quantum physics, and continue to present the concept of 'ontological potentiality' which is distinguished from the generic Aristotelian notion of potentiality in terms of 'becoming actual'. In this paper our main aim is to provide an objective interpretation of quantum mechanics which allows us to discuss the meaning of physical reality according to the theory. For this specific propose we present the concept of 'faculty' in place of the concept of 'entity'. Within our theory of faculties, we continue to discuss and interpret two paradigmatic experiments of quantum mechanics such as the double-slit and Schrodinger's cat.
Niels Bohr introduced the concept of complementarity in order to give a general account of quantum mechanics, however he stressed that the idea of complementarity is related to the general dificulty in the formation of human ideas, inherent in the distinction between subject and object. Earlier, we have introduced a development of the concept of complementarity which constitutes a new approach to the interpretation of quantum mechanics. We argue that this development allows a better understanding of some of the paradigmatic interpretational problems of quantum theory. Within the scheme proposed by modal interpretations we analyze the relation between holism and reductionism as well as the problems proposed by Arntzenius and Clifton. We discuss the problem of presupposing the concept of entity within the quantum formalism and bring into stage the concept of faculty as a way to recover the objective character of quantum mechanics.
The present study is concerned with the problem of realism in quantum mechanics. Contrary to the prevailing view that quantum mechanics forces us to abandon the concept of realism and reality, the author attempts to substantiate another standpoint. Quantum objects indeed exist in a different way from classical bodies. Before the act of measurement begins, one cannot attribute any specific properties to the quantum object observed, as they only occur in the course observation. The concept of observation, however, should not be interpreted as the inclusion of subjective traits in the description of nature. Observation records processes in space and time and establishes the fact of transition from the potential to the reality. The potential is described by a wave function, which in its meaning does not fall in the habitual space and time, whereas the actual is described in terms of a reduction of the wave function, i.e. the transition from a range of possible states to the single one, the observed. Whatever has been observed, in contrast, already belongs to ordinary space and time and can be detected. What follows is that, in quantum mechanics, it is the notion of reality which needs to be reconsidered, not the realism as such rejected. A reconsideration of this sort is conducted here within the framework of a double-modus picture of reality including both potential and actual being, where the quantum level of existence is distinguished from the observed modi of being as described by means of classical concepts. Such a scheme can be described in terms of Aristotelian metaphysics (the fact first pointed out by Heisenberg). The act of transition from potential to actual can be accounted for both in the language of Aristotle’s metaphysics and the language of modern science. In traditional metaphysics it is called the 'principle of individuation', while in modern science it is known as the extended Mach principle. It is argued that the development of these ideas leads to the rejection of Cartesian paradigm in which the existence of a material object always means an existence in space and time.
What is a physical object according to the theory of quantum mechanics? The first answer to be considered is that given by Bohr in terms of the concept of complementarity. This interpretation is illustrated by way of an example, the two slit experiment, which highlights some of the associated problems of ontology. One such problem is the so-called problem of measurement or observation. Various interpretations of measurement in Quantum Theory, including those of Heisenberg, von Neumann, Everett and Bohr, are compared and contrasted. A second problem concerns whether or not QT can be considered complete and therefore satisfactory as a basis for physics. Various attempts to complete QT by means of the addition of ‘hidden variables’ to the quantum mechanical state function are considered and their aims and achievements assessed. Finally, we investigate some of the characteristic ontological problems for the orthodox interpretation of Relativistic Quantum Theory.
The meaning of the wave function has been a hot topic of debate since the early days of quantum mechanics. Recent years have witnessed a growing interest in this long-standing question. Is the wave function ontic, directly representing a state of reality, or epistemic, merely representing a state of (incomplete) knowledge, or something else? If the wave function is not ontic, then what, if any, is the underlying state of reality? If the wave function is indeed ontic, then exactly what physical state does it represent? In this book, I aim to make sense of the wave function in quantum mechanics and find the ontological content of the theory. The book can be divided into three parts. The first part addresses the question of the nature of the wave function (Chapters 1-5). After giving a comprehensive and critical review of the competing views of the wave function, I present a new argument for the ontic view in terms of protective measurements. In addition, I also analyze the origin of the wave function by deriving the free Schroedinger equation. The second part analyzes the ontological meaning of the wave function (Chapters 6, 7). I propose a new ontological interpretation of the wave function in terms of random discontinuous motion of particles, and give two main arguments supporting this interpretation. The third part investigates whether the suggested quantum ontology is complete in accounting for our definite experience and whether it needs to be revised in the relativistic domain (Chapters 8, 9).
We elaborate on a new interpretation of quantum mechanics which we introduced recently.The main hypothesis of this new interpretation is that quantum particles are entities interacting with matter conceptually, which means that pieces of matter function as interfaces for the conceptual content carried by the quantum particles.We explain how our interpretation was inspired by our earlier analysis of non-locality as non-spatiality and a specific interpretation of quantum potentiality, which we illustrate by means of the example of two interconnected vessels of water.We show by means of this example that philosophical realism is not in contradiction with the recent findings with respect to Leggett's inequalities and their violations.We explain our recent work on using the quantum formalism to model human concepts and their combinations and how this has given rise to the foundational ideas of our new quantum interpretation.We analyze the equivalence of meaning in the realm of human concepts and coherence in the realm of quantum particles, and how the duality of abstract and concrete leads naturally to a Heisenberg uncertainty relation.We illustrate the role played by interference and entanglement and show how the new interpretation explains the problems related to identity and individuality in quantum mechanics.We put forward a possible scenario for the emergence of the reality of macroscopic objects.
One of the main philosophical problems of quantum mechanics is understanding in what manner Schödinger's wave function can said to be real.In this paper I explore the ways in which the Aristotelian notion of potentiality could be used to understand the reality of the wave function, as suggested by Heisenberg in some of his writings.For this reason I sketch some of the potential complications in the interpretation of wave function while trying to develop Aristotle's philosophy of potentiality in relation to quantum mechanics.I will also attempt to demonstrate the connections of Popper's account of propensities with the notion of potentiality.