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arXiv:quant-ph/0012021

Speakable and unspeakable after John Bell

Ian Colin Percival

Published Dec 5, 2000• 1 citation
arXivHTMLPDF

Abstract

`Philosophy' was speakable for John Bell but is not for many physicists. The border between philosophy and physics is here illustrated through Brownian motion and Bell experiments. `Measurement', however, was unspeakable for Bell. His insistence that the physics of quantum measurement should not be confined to the laboratory and that physics is concerned with the big world outside leads us to examples from zoology, meteorology and cosmology.

DOI
10.48550/arxiv.quant-ph/0012021

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•Jan 1, 2004•1 citation
Philosophy' was speakable for John Bell but is not for many physicists. The border between philosophy and physics is here illustrated through Brownian motion and Bell experiments. Measurement', however, was unspeakable for Bell. His insistence that the physics of quantum measurement should not be confined to the laboratory and that physics is concerned with the big world outside leads us to examples from zoology, meteorology and cosmology.
John Bell, FRS was one of the leading expositors and interpreters of modern quantum theory. He is particularly famous for his discovery of the crucial difference between the predictions of conventional quantum mechanics and the implications of local causality, a concept insisted on by Einstein. John Bell's work played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book includes all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics, including two papers that appeared after the first edition was published. The book includes a short Preface written by the author for the first edition, and also an introduction by Alain Aspect that puts into context John Bell's enormous contribution to the quantum philosophy debate.
John S Bell 1987 Cambridge: Cambridge University Press vii + 212 pp price £25 ISBN 0 521 33495 0 This book is a collection of John Bell's papers dealing explicitly with the foundations of quantum mechanics (or, as he puts it, ' quantum philosophy '), plus one paper on the pedagogy of special relativity. The first two are the classic papers of 1 966 and 1 964, which respectively demolished the 'impossibility proofs' concerning hidden variables and proved the famous theorem on the incompatibility of the predictions of local hidden-variable theories with those of quantum mechanics.
Both science and philosophy have been characterized as seeking to understand the nature of reality. They are sometimes even pitted against each other, suggesting that the success of science undermines the relevance of philosophy. But attending to the sort of understanding or explanation being sought offers a different picture: contemporary physics as practiced sometimes fails to provide a clear physical account of the world. This lies at the root of the dissatisfaction with standard quantum theory expressed by Einstein, Schrödinger, and John Bell. As an example, close consideration of Schrödinger's famous cat example suggests that physicists often have missed his point. What a philosophical disposition can contribute is not alternative physics, but rather the sort of careful attention to argument needed to extract a physical picture from a mathematical formalism.
This is a review-essay on ``Speakable and Unspeakable in Quantum Mechanics'' by John Bell and ``The Undivided Universe: An Ontological Interpretation of Quantum Mechanics'' by David Bohm and Basil Hiley. The views of these authors concerning the character of quantum theory and quantum reality---and, in particular, their approaches to the issues of nonlocality, the possibility of hidden variables, and the nature of and desiderata for a satisfactory scientific explanation of quantum phenomena---are contrasted, with each other and with the orthodox approach to these issues.
John Stewart Bell (1928-1990), a truly deep and serious thinker, was one of the leading physi-cists of the 20th century. He became famous for his discovery that quantum mechanics impliesthat nature is nonlocal, i.e., that there are physical inuences between events that propagatefaster than light.From 1960 until his death Bell worked at CERN in Geneva on the physics of particle accel-erators, making a number of important contributions to high-energy physics and quantum eldtheory. Noteworthy was his discovery in 1969, together with Roman Jackiw, of the so-called\Bell-Jackiw-Adler anomaly (discovered independently by Stephen Adler), a mechanism ex-plaining physical e ects such as neutral pion decay (which are unexplainable on the basis of thesymmetries of the classical eld Lagrangian), in terms of an \anomalous term arising from therenormalization of quantum eld theory. Since then this mechanism has become an importantcornerstone of quantum eld theory. Another important contribution was the argument he gavein 1967 for why weak interactions should be described using a gauge theory.John Bell was one of the leading experts|perhaps the leading expert|on the foundations ofquantum mechanics. The book collecting his articles on this subject, Speakable and unspeakablein quantum mechanics, is unsurpassed for clarity and depth and it is still the best reference forwhoever wishes to learn about the eld [4].Bell strongly opposed the \Copenhagen interpretation of quantum physics, according towhich macroscopic objects, such as chairs and planets, do exist out there, but electrons andother microscopic particles do not. According to the Copenhagen view, the world is divided intotwo realms, macro and micro, \classical and \quantum, logical and contradictory|or, as Bellput it in one of his essays, into \speakable and \unspeakable. Along with Albert Einstein,Erwin Schrodinger, Louis de Broglie and !David Bohm, Bell was one of the few physicistscompelled by his conscience to reject the Copenhagen interpretation.Bell emphasized that the empirical facts of quantum physics do not at all force us to renouncerealism. There is, in fact, a realist theory (!Bohmian mechanics, also known as the de Broglie-Bohm theory) that accounts|insofar as the nonrelativistic theory is concerned|for all of thesefacts in a most elegant way. This theory describes a world in which electrons, quarks andthe like are point particles, always having positions that move in a manner dictated by thewave function. It should be taught to students, Bell insisted, as a legitimate alternative tothe prevailing orthodoxy. After GianCarlo Ghirardi, Alberto Rimini, and Tullio Weber in 1986succeeded in formulating a second kind of realist theory, Bell encouraged the further developmentof this theory as well [4, p. 201]. He thought that such a theory contained the seeds of a1