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The Journal of Speculative Philosophy

Quantum Processes: A Whiteheadian Interpretation of Quantum Field Theory (review)

Henry J. Folse

Published Jan 1, 2005• 1 citation
Publisher

Abstract

Reviewed by: Quantum Processes: A Whiteheadian Interpretation of Quantum Field Theory Henry J. Folse Quantum Processes: A Whiteheadian Interpretation of Quantum Field Theory. Frank Hättich . Munster: Agenda Verlag, 2004. xiv + 280 pp. Euro 29.90, pbk.3-89688-204-x. Many philosophers and physicists—including the current reviewer—have argued that Whitehead's process philosophy provides a conceptual framework better suited for understanding the quantum theoretical account of the atomic domain than does the substance ontology that has dominated Western metaphysics. However, apart from calling attention to this issue, few (with the notable exceptions of Henry Stapp and Jorge Nobo) have attempted to do anything about it. Frank Hättich has now changed this situation by providing a sustained analysis of quantum field theory (QFT) in terms of Whitehead's ontological scheme. The result is interesting for two reasons: (1) by extending the match between Whitehead's specific metaphysical proposals and the mathematics of algebraic QFT to a level of detail never before attempted, Hättich greatly strengthens the hope that process ontology can help resolve quantum mysteries; and (2) in noting the points of noncompatibility between QFT and Whitehead's metaphysical conclusions, he suggests ways of revising Whitehead's pioneering effort to enhance the match between speculative ontological scheme and contemporary physical theory. Hättich's book is in three unequal parts: the first two are exegetical, and the third, constituting nearly half the book, is synthetic. Part I presents a "simplified version" of those parts of Whitehead's ontology pertinent to the interpretation of QFT to be presented, and Part II presents an algebraic formulation of [End Page 283] QFT susceptible to that interpretation. Although Part I is "self-contained" from the point of view of its intended application, it is unlikely that a reader wholly ignorant of Whitehead's process ontology would gain enough enlightenment to appreciate much of the author's argumentation; but it is equally unlikely that such a person would be reading this book. Part II presumes considerable mathematical sophistication and familiarity with the formalism of at least quantum mechanics and some knowledge of field theory. It is "introductory" only in the sense that it introduces the particular version of QFT, algebraic QFT (AQFT), to which process ontology is to be applied. Of course, both Whitehead's metaphysics and quantum theory have been subjected to many and various rival interpretations, and in selecting among them Hättich has clearly, and reasonably, been led by choices that maximize the connections he wishes to explore. It is misleading to see the goal here as developing yet another argument for why quantum theory must (or must not) be interpreted realistically. Rather, this investigation presupposes a realist interpretation and then gets to work constructing an ontological framework to show how this is possible, thereby suggesting that those who have argued that a realist interpretation of quantum theory is conceptually impossible have done so because they remain committed to ontological presuppositions moored in classical physics. In presenting the ontological framework for his project in Part III, Hättich accounts for the process of each occasion's creative concrescence from pure potentiality to determined actuality in terms of three Whiteheadian concepts: (1) the extensive continuum; (2) eternal objects; and (3) the underlying activity. Each one of these ontological elements is then matched up with an aspect of the mathematical formalism by which AQFT represents the quantum state of a region in spacetime. Hättich then shows that given these identifications, various consequences of the mathematical formalism imply that some of the ontological claims made by Whitehead are either inconsistent or incompatible with the presumption that AQFT gives us a true account of the world. Thus although the final conclusions of this investigation are critical of Whitehead's specific metaphysical conclusions, the extent of the applicability of his ontological categories to quantum mechanics and QFT provides persuasive grounds for hoping that future realist interpretations of quantum theory can learn much from process metaphysics. For this reason, Hättich is to be commended for keeping the project of process ontology alive by proposing specific reasons for revising Whiteheadian conclusions based on our best scientific theories of the microdomain, rather than arguing...

DOI
10.1353/jsp.2005.0019

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In this article I intend to show that certain aspects of A.N. Whitehead's philosophy of organism and especially his epochal theory of time, as mainly exposed in his well-known work Process and Reality, can serve in clarify the underlying assumptions that shape nonstandard mathematical theories as such and also as metatheories of quantum mechanics. Concerning the latter issue, I point to an already significant research on nonstandard versions of quantum mechanics; two of these approaches are chosen to be critically presented in relation to the scope of this work. The main point of the paper is that, insofar as we can refer a nonstandard mathematical entity to a kind of axiomatical formalization essentially 'codifying' an underlying mental process indescribable as such by analytic means, we can possibly apply certain principles of Whitehead's metaphysical scheme focused on the key notion of process which is generally conceived as the becoming of actual entities. This is done in the sense of a unifying approach to provide an interpretation of nonstandard mathematical theories as such and also, in their metatheoretical status, as a formalization of the empirical-experimental context of quantum mechanics.
Abstract Metaphysicians should pay attention to quantum mechanics, but not because it provides definitive answers to many metaphysical questions. The theory itself is remarkably silent on the nature of the physical world, and the various interpretations of the theory on offer present conflicting ontological pictures. Rather, quantum mechanics is essential to the metaphysician because it reshapes standard metaphysical debates and opens up unforeseen new metaphysical possibilities. Even if quantum mechanics provides few clear answers, there are good reasons to think that any adequate understanding of the quantum world will result in a radical reshaping of our classical worldview in some way or other. Whatever the world is like at the atomic scale, it is almost certainly not the swarm of particles pushed around by forces that is often presupposed. This book guides readers through the theory of quantum mechanics and its implications for metaphysics in a clear and accessible way. The theory and its various interpretations are presented with a minimum of technicality. The consequences of these interpretations for metaphysical debates concerning realism, indeterminacy, causation, determinism, holism, and individuality (among other topics) are explored in detail, stressing the novel form that the debates take given the empirical facts in the quantum domain. While quantum mechanics may not deliver unconditional pronouncements on these issues, the range of possibilities consistent with our knowledge of the empirical world is relatively small—and each possibility is metaphysically revisionary in some way.
It is very likely that most readers and authors of articles appearing in Classical and Quantum Gravity are interested in what might loosely be termed the philosophy of science. It is equally likely, with perhaps a few exceptions, that the research of these same readers and authors has not been influenced in the least by the work of professional philosophers of science. This is certainly the case for those of us who work in quantum field theory. One must therefore ask who the intended audience is for a book which purports to discuss the philosophical implications of quantum field theory. In the preface, the author states that there are two intended audiences for his book. The first is `other interested interpreters of physics' who wish to learn something about quantum field theory in as painless a way as possible. The second is for students of physics who are bogged down in the details of learning quantum field theory and cannot see the overall picture. I am not convinced that either audience will find this book to be of much use. There are two basic problems with this book. The first is that the quantum field theory in it is of the old-fashioned kind, and is not really representative of the way the subject is either taught or thought of today. The second is that there is not sufficient background material present to make this book suitable for a novice reader. For example, I wonder how much a reader who has not studied quantum mechanics in any depth will get out of a treatment which launches into Hilbert space and a discussion of states without much in the way of proper introduction. Any reader who is familiar with the workings of quantum field theory will find much to disagree with in this book. For example, the author tries to make a case that a Fock space description is better than talking about particle labels and restricting to symmetric or antisymmetric states. The reason claimed for this is that there are states in Fock space which are neither symmetric nor antisymmetric under particle interchange which must be discarded. (In the author's words, this introduces `surplus formal structure'.) However, in Fock space an equally arbitrary choice is made by focusing on relations among the creation and annihilation operators which involve only commutation or anticommutation relations. Although this is acknowledged by Teller, no satisfactory explanation is given as to why one procedure is any less arbitrary than the other. The book is incomplete in many ways, with many interesting points mentioned just in passing. For example, the discussion around the Newton--Wigner position operator would have been greatly enhanced by including more details, such as an explanation as to why quanta described by Newton--Wigner states seem to propagate at superluminal speeds. It is hard to believe that a reader who has not met the Rindler vacuum before would find Teller's discussion to be very informative. After being so critical of this book, I should mention a part which I did enjoy and would recommend to students of physics. This is the last chapter of the book which contains a discussion of renormalization theory. It is my experience that students often find renormalization theory confusing, and may find Teller's semiqualitative discussion illuminating.
In Process and Reality and other works, Alfred North Whitehead struggled to come to terms with the impact the new science of quantum mechanics would have on metaphysics. This book is the first extended analysis of the intricate relationships between relativity theory, quantum mechanics, and Whitehead's cosmology. Illuminated here is the intersection of science and philosophy in Whitehead's work, and details of Whitehead's attempts to fashion an ontology coherent with quantum anomalies. Including a non-specialist introduction to quantum mechanics, the book adds an essential new dimension to our understanding of Whitehead.
In Process and Reality and other works, Alfred North Whitehead struggled to come to terms with the impact the new science of quantum mechanics would have on metaphysics. This book is the first extended analysis of the intricate relationships between relativity theory, quantum mechanics, and Whitehead's cosmology. Illuminated here is the intersection of science and philosophy in Whitehead's work, and details of Whitehead's attempts to fashion an ontology coherent with quantum anomalies. Including a non-specialist introduction to quantum mechanics, the book adds an essential new dimension to our understanding of Whitehead.
Abstract There have been many attempts to undertand the connections between quantum theory and Whiteheadian process philosophy However, due to the ontological considerations, it is very important to specify which interpretation of quantum theory one embraces before inquiring into the details of Whitehead’s philosophy of organism. In this article, I argue that Ghirardi-Rimini-Weber (GRW) collapse interpretation of quantum theory serves as a suitable point of departure for future endeavors. Comparisons with manyworlds interpretation and decoherence approach have also been provided.