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Cambridge University Press eBooks

The great quantum muddle

N. David Mermin

Published Mar 15, 1990• 0 citations
Publisher

Abstract

These are volumes II and III of Sir Karl Popper's hitherto unpublished Postscript to the Logic of Scientific Discovery. In addition to the Postscript itself, which was largely completed twenty years after L.S.D. in 1954, about a third of each volume is devoted to more recent writings. Volume II, The Open Universe , subtitled “An argument for Indeterminism”, has three “addenda”: a reprint of Popper's 1973 essay, “Indeterminism is not enough”, a revised version of his 1974 “Scientific Reduction and the essential incompleteness of all science”, and a brief essay, “Further remarks on reduction”, written in 1981. Volume III, Quantum Theory and the Schism in Physics , has a lengthy 1982 preface, and contains a revised and expanded version of Popper's 1967 “Quantum mechanics without the observer”. It was not Popper's original intent that the work should appear in separate volumes. Volume II, though primarily about classical physics, bears importantly on his views of the quantum theory, and further discussions of classical concepts (notably entropy and irreversibility) are in Volume III. I shall therefore discuss the two books as a single coherent work. (Volume I, Realism and the Aim of Science , was unavailable at the time this review was written.) Popper argues with wit, ingenuity, and passion, that the prevailing “Copenhagen” interpretation of the quantum theory is a mistake. Heisenberg, he says, “led a generation of physicists to accept the absurd view that one can learn from quantum mechanics that ‘objective reality has evaporated’” (III p. 9). According to Popper, there really are particles out there, not “wavicles”, and each particle has both a position and a momentum.

DOI
10.1017/cbo9780511608216.016

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INTRODUCTION In his essay ‘Quantum Mechanics Without “the Observer”’ (in [20], 7–44), Popper criticizes the Copenhagen Interpretation and suggests construing the quantum theory as a ‘generalization of classical statistical mechanics’ ([20], 16). The uncertainty relations, he says, set ‘limits to the statistical dispersion … of the results of sequences of experiments’ ([20], 20) and not to what can be said about individual systems. Some strange features of orthodox microphysics are due either to a misinterpretation of probability, involving some ‘very simple mistakes’ ([20], 42); or else they are a straightforward consequence of the fact that the quantum theory is a statistical theory. For example, ‘the reduction of the wave packet … has nothing to do with quantum theory: it is a trivial feature of probability theory’ ([20], 37). The idea of probability that is presupposed in all these arguments, however, is Popper's propensity interpretation. Adopting this interpretation suffices for making clear what the quantum theory really is: a ‘generalization of classical statistical mechanics’ ([20], 16). This is Popper's position as I understand it. This position, it seems to me, is attractive enough as long as one does not carry the analysis too far. But it breaks down when confronted with all the facts which Bohr wanted to take into account. Altogether Popper's criticism and his alternative proposals once more reveal the strong points of the Copenhagen philosophy, and especially of the ideas of Niels Bohr. Today it is very difficult to find a satisfactory account of these ideas.

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These are volumes II and III of Sir Karl Popper's hitherto unpublished Postscript to the Logic of Scientific Discovery. In addition to the Postscript itself, which was largely completed twenty years after L.S.D. in 1954, about a third of each volume is devoted to more recent writings. Volume II, The Open Universe , subtitled “An argument for Indeterminism”, has three “addenda”: a reprint of Popper's 1973 essay, “Indeterminism is not enough”, a revised version of his 1974 “Scientific Reduction and the essential incompleteness of all science”, and a brief essay, “Further remarks on reduction”, written in 1981. Volume III, Quantum Theory and the Schism in Physics , has a lengthy 1982 preface, and contains a revised and expanded version of Popper's 1967 “Quantum mechanics without the observer”. It was not Popper's original intent that the work should appear in separate volumes. Volume II, though primarily about classical physics, bears importantly on his views of the quantum theory, and further discussions of classical concepts (notably entropy and irreversibility) are in Volume III. I shall therefore discuss the two books as a single coherent work. (Volume I, Realism and the Aim of Science , was unavailable at the time this review was written.) Popper argues with wit, ingenuity, and passion, that the prevailing “Copenhagen” interpretation of the quantum theory is a mistake. Heisenberg, he says, “led a generation of physicists to accept the absurd view that one can learn from quantum mechanics that ‘objective reality has evaporated’” (III p. 9). According to Popper, there really are particles out there, not “wavicles”, and each particle has both a position and a momentum.
Karl R Popper 1982 London: Hutchinson xviii + 228 pp price £15 This final volume of Sir Karl Popper's long-awaited Postscript to The Logic of Scientific Discovery appears through the editorial efforts of W W Bartley III, and constitutes a major addition to Popper's published corpus, of particular interest to theoretical physicists, historians of the quantum revolution, and philosophers of science. In it, a basic theme of Popper's philosophy, that something can come from nothing, is related to the present situation in physical theory.
Quantum Theory and the Schism in Physics is one of the three volumes of Karl Popper’s Postscript to the Logic of scientific Discovery. The Postscript is the culmination of Popper’s work in the philosophy of physics and a new famous attack on subjectivist approaches to philosophy of science. Quantum Theory and the Schism in Physics is the third volume of the Postscript. It may be read independently, but it also forms part of Popper’s interconnected argument in the Postscript. It presents Popper’s classic statement on quantum physics and offers important insights into his thinking on problems of method within science and physics as a whole.
Popper wrote extensively on the quantum theory. In Logic der Forschung (LSD) he devoted a whole chapter to the topic, while the whole of Volume 3 of the Postscript to the Logic of Scientific Discovery is devoted to the quantum theory. This volume entitled Quantum Theory and the Schism in Physics ( QTSP ) incorporated a famous earlier essay, ‘Quantum Mechanics without “the Observer”’ (QM). In addition Popper's development of the propensity interpretation of probability was much influenced by his views on the rôle of probability in quantum theory, and he also wrote an insightful critique of the 1936 paper of Birkhoff and von Neumann on nondistributive quantum logic (BNIQM). In this paper I will look at some of Popper's arguments in a suitably critical spirit. But he would have applauded this. My great regret is that he cannot respond to this paper with criticisms of my arguments! Thought Experiments In 1934 Popper published a short note in Die Naturwissenschaften entitled ‘Zur Kritik der Ungenauigkeitsrelationen’ (KU). This was actually Popper's scientific debut. It contained what Popper later described as ‘a gross mistake for which I have been deeply sorry and ashamed ever since’ ( QTSP , p. 15). Appendix *XII to the 1959 translation of LSD reproduces a letter from Einstein written in 1935 criticising Popper's proposed thought experiment. Although he tells us in his autobiography ( UQ , p. 92) that he defended his experiment against von Weiszäcker and Heisenberg, he immediately concurred with Einstein's criticism.
Once I tried to teach some quantum mechanics to a class of law students, philosophers, and art historians. As an advertisement for the course I put together the most sensational quotations I could collect from the most authoritative practitioners of the subject. Heisenberg was a goldmine: “The concept of the objective reality of the elementary particles has thus evaporated…”; “the idea of an objective real world whose smallest parts exist objectively in the same sense as stones or trees exist, independently of whether or not we observe them … is impossible …” Feynman did his part too: “I think I can safely say that nobody understands quantum mechanics.” But I failed to turn up anything comparable in the writings of Bohr. Others attributed spectacular remarks to him, but he seemed to take pains to avoid any hint of the dramatic in his own writings. You don't pack them into your classroom with “The indivisibility of quantum phenomena finds its consequent expression in the circumstance that every definable subdivision would require a change of the experimental arrangement with the appearance of new individual phenomena,” or “the wider frame of complementarity directly expresses our position as regards the account of fundamental properties of matter presupposed in classical physical description but outside its scope.” I was therefore on the lookout for nuggets when I sat down to review these three volumes – a reissue of Bohr's collected essays on the revolutionary epistemological character of the quantum theory and on the implications of that revolution for other scientific and non-scientific areas of endeavor (the originals first appeared in 1934, 1958, and 1963.)
THE conceptual problems raised by the discovery of quantum effects have not been fully resolved after half a century. Part of the reason for this is undoubtedly to be found in the mutual ignorance which prevails between physicists and philosophers. In his book Heisenberg brings together a philosophically inclined temperament with an unrivalled knowledge of physics. The result is a book of very great interest, however much one might disagree with his conclusions. The collection of essays of which the other book is made up is intended to bring crucial conceptual problems in physics especially to the notice of philosophers. The design and intention of the collection is admirable for this is the proper way to overcome the departmentalization of interest that has left the deep conceptual problems still unresolved. Men like Heisenberg who combine philosophical temperament with scientic knowledge of great distinction are rare, and yet the difficulties can only be cleared up by the application of philosophical techniques of analysis to problems which are an intimate and difficult part of physics. A great deal of the interest of Heisenberg's book lies in the very comprehensive account he gives of the origin and growth of the Copenhagen school, and the way the new phenomena forced a largely unwelcome picture of nature upon Bohr and his friends. The most important chapter from a philosophical point of view is that in which Heisenberg defends this interpretation against the attacks to which it has been subjected. The essence of his argument for the interpretation can be summed up in two propositions. (i) The Copenhagen interpretation of physical theory, which depends upon the acceptance of the so-called Principle of Complementarity, is an inevitable and final interpretation. The reason for this is that there are only two possible general models for understanding given physical phenomena; a particle model or a wave model. These are exhaustive and exclusive because the former depends upon discontinuous and the latter upon continuous (using substance here in the traditional philosophical sense). If we find, as we do, that the two fundamental constituents of the universe, matter and radiation, each exhibit two classes of phenomena, one explainable only on a particle model and one on a wave model, then we are compelled to adopt a complementarity hypothesis and give up the idea of finding a single and uniform model for the understanding of phenomena. There are only two kinds of models; they are mutually exclusive; both are required; hence we either despair before an insoluble problem or adopt the Copenhagen interpretation. (2) Any serious criticism of this interpretation must offer an alternative
INTRODUCTION In his essay ‘Quantum Mechanics Without “the Observer”’ (in [20], 7–44), Popper criticizes the Copenhagen Interpretation and suggests construing the quantum theory as a ‘generalization of classical statistical mechanics’ ([20], 16). The uncertainty relations, he says, set ‘limits to the statistical dispersion … of the results of sequences of experiments’ ([20], 20) and not to what can be said about individual systems. Some strange features of orthodox microphysics are due either to a misinterpretation of probability, involving some ‘very simple mistakes’ ([20], 42); or else they are a straightforward consequence of the fact that the quantum theory is a statistical theory. For example, ‘the reduction of the wave packet … has nothing to do with quantum theory: it is a trivial feature of probability theory’ ([20], 37). The idea of probability that is presupposed in all these arguments, however, is Popper's propensity interpretation. Adopting this interpretation suffices for making clear what the quantum theory really is: a ‘generalization of classical statistical mechanics’ ([20], 16). This is Popper's position as I understand it. This position, it seems to me, is attractive enough as long as one does not carry the analysis too far. But it breaks down when confronted with all the facts which Bohr wanted to take into account. Altogether Popper's criticism and his alternative proposals once more reveal the strong points of the Copenhagen philosophy, and especially of the ideas of Niels Bohr. Today it is very difficult to find a satisfactory account of these ideas.