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Oxford University Press eBooks

The Paradox of Measurement

David Wallace

Published May 24, 2012• 0 citations
Publisher

Abstract

After an initial discussion of the general aims of scientific theories, the quantum measurement problem is presented. Non-Everettian solutions to the problem are briefly discussed; the aim of the discussion is to show that these solutions require significant change either to our philosophical approach to science or to quantum theory itself. In this context, the Everett interpretation is introduced and motivated as the result of simply applying our normal approach to scientific theories to the mathematical structure of quantum mechanics and following where it leads. The chapter ends with a introductory discussion of potential problems, and with references to subsequent chapters where they are discussed more fully.

DOI
10.1093/acprof:oso/9780199546961.003.0002

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After an initial discussion of the general aims of scientific theories, the quantum measurement problem is presented. Non-Everettian solutions to the problem are briefly discussed; the aim of the discussion is to show that these solutions require significant change either to our philosophical approach to science or to quantum theory itself. In this context, the Everett interpretation is introduced and motivated as the result of simply applying our normal approach to scientific theories to the mathematical structure of quantum mechanics and following where it leads. The chapter ends with a introductory discussion of potential problems, and with references to subsequent chapters where they are discussed more fully.
According to the Everett interpretation of quantum mechanics, the apparent paradoxes of quantum theory require no change either in our philosophical attitude toward scientific theories or in the formalism of quantum mechanics itself. Rather, the unaltered theory can be understood as a literal description of physical reality. But the physical reality thus described is one of many noninteracting, approximately classical worlds. These worlds enter the theory not at the fundamental level—they are nowhere to be found in the basic formalism—but at a higher, emergent level; in this sense they are (ontologically speaking) on a par with the ontology of the special sciences.
We present a historical-epistemological analysis of the foundations of quantum mechanics, highlighting the relationships between quantum mechanics and scientific realism, as well as the influence of the neo-positivist philosophy of the first decades of the 20th century. The great significance of the measurement process in the context of quantum mechanics is underlined as an essential element in providing a coherent description of reality, moving from micro to macrocosm, as well as the role that the measurement apparatus and the consciousness of the observer assume during the act of measurement, the related ontological problems, the question of the objectification of the wave function, and that of the definition of discernibility. We consider also an overview of the most important alternative proposals to the standard interpretation of quantum mechanics (Copenhagen interpretation), with particular reference to hidden variable theories and other alternatives to standard quantum mechanics philosophical approach, that are modifying the vision of reality, such as the Everett’s many-worlds theory, the QBism and unified holistic approaches, such as the Primordial Dynamic Space.
Abstract This book aims to reconceptualize the quantum measurement problem as a problem of epistemology, and to explore the epistemic problems faced by a number of popular interpretations of quantum mechanics. It argues that a number of well-known solutions to the measurement problem, including the many-worlds interpretation and the observer-relative interpretations, face potentially fatal epistemic problems. It also delves into the relationship between physics and epistemology, using the measurement problem to motivate an account of scneitifc epistemology which highlights the role of coherence in justifying the use we make of measurements and observations in the scientific process.
This work presents a historical-epistemological analysis of the foundations of quantum mechanics. From a philosophical point of view, the relationships between quantum mechanics and scientific realism are highlighted, as well as the influence of the neo-positivist philosophy of the first decades of the 20th century. The great significance of measurement in the context of quantum mechanics is underlined, as an essential element in providing a coherent description of reality moving from the microcosm to the macrocosm, as well as the role that the measurement apparatus and the consciousness of the observer assume during the act of measurement, the ontological problem, the problem of the objectification of the wave function and the problem of the definition of discernibility. This is followed by an overview of the most important alternative proposals to the standard interpretation (Copenhagen interpretation), with particular reference to hidden variable theories, and other alternatives to standard quantum mechanics that profoundly modify the vision of reality, such as the Everett’s many-worlds theory, the QBism, the unified holistic approach.
Introduction Chapter 1 dealt with one of the deepest mysteries in modern science: how to explain consciousness. This Part deals with another mystery: how to make sense of quantum mechanics. Both involve a problem of reconciliation with the classical worldview, which is one hint that the two mysteries might be related. A second is that, unlike classical physics, which makes no reference to or allowance for consciousness, quantum theory raises the issue of consciousness and its relationship to the physical world in a very direct way. These hints do not necessarily mean there is a connection between the two mysteries, but by the end of this Part I hope to have shown why it would be natural to look for one. My more immediate aim here is to give the social scientific reader an introductory understanding of the experimental findings of quantum theory, its key concepts, and the debates about its interpretation. The discussion assumes no prior knowledge of quantum physics and makes no use of mathematics. Quantum theory without equations might seem like an oxymoron, and certainly reading this Part will not enable anyone to use quantum theory. But to a perhaps surprising degree it is possible to understand quantum theory without being able to use it. Its findings can be communicated in ordinary language, and the same goes for its main concepts and interpretive debates. One consequence of this has been the emergence of a virtual cottage industry of books on quantum theory for a lay audience. Most are written by physicists, and many are quite good. However, it is not just popular treatments that do without equations: much of the professional philosophical literature does as well. (I draw on both kinds of literature below.) Philosophers of physics are trained to understand the math, of course, which is necessary for a full appreciation of the issues.