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Deflating quantum mechanics

Michaël Esfeld

Published Jan 1, 2025• 0 citations
OpenAlex

Abstract

By means of the GRW flash theory and Bohmian mechanics, the paper shows how quantum mechanics accommodates a classical ontology of localised objects with a dynamics that describes the evolution of these objects. That dynamics is non-classical due to the entanglement of the wave function; but it can be entirely deterministic as illustrated by Bohmian mechanics. The wave function is a nomological parameter that can be construed according to any of the major philosophical stances with respect to laws. Against this background, the paper argues that quantum mechanics fits into the paradigm of modern physics as set out by Descartes. The far-reaching claims that call for receiving quantum mechanics as opening up a new paradigm of science are based on a confusion between science and scientism.

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arXiv:1712.03372•Cambridge University Press eBooks•Apr 11, 2019•30 citations
By means of the GRW flash theory and Bohmian mechanics, the paper shows how quantum mechanics accommodates a classical ontology of localised objects with a dynamics that describes the evolution of these objects. That dynamics is non-classical due to the entanglement of the wave function; but it can be entirely deterministic as illustrated by Bohmian mechanics. The wave function is a nomological parameter that can be construed according to any of the major philosophical stances with respect to laws. Against this background, the paper argues that quantum mechanics fits into the paradigm of modern physics as set out by Descartes. The far-reaching claims that call for receiving quantum mechanics as opening up a new paradigm of science are based on a confusion between science and scientism.
The paper points out that the modern formulation of Bohm's quantum theory known as Bohmian mechanics is committed only to particles' positions and a law of motion. We explain how this view can avoid the open questions that the traditional view faces according to which Bohm's theory is committed to a wave-function that is a physical entity over and above the particles, although it is defined on configuration space instead of three-dimensional space. We then enquire into the status of the law of motion, elaborating on how the main philosophical options to ground a law of motion, namely Humeanism and dispositionalism, can be applied to Bohmian mechanics. In conclusion, we sketch out how these options apply to primitive ontology approaches to quantum mechanics in general.
Throughout the 20 th century, quantum mechanics was celebrated as the ultimate proof that modern science is leaving behind deterministic mechanical materialism and admitted that it is dealing with non-material entities; moreover, the notion that our reality takes place through being observed opens up to a subjectivist denial of objective reality.Some quantum scientists themselves claimed that the only way to account for our entire universe is to presuppose a global external observer (i.e., God).The text rejects not only this direct theological solution but also the traditional "realist" stance which secretly relies on a divine dimension (the divine status of natural laws).It proposes a reading of the ontological implications of quantum physics which opens up the way for a consequent materialism, even if, from a traditional reading, this may appear to be an odd materialism without matter.
This book discusses the ontology in the quantum world and argues that it should be interpreted as a historicized ontology. This perspective is advocated by the quantum histories interpretation. Inspired by the nomological interpretation from Bohmian mechanics and the corresponding understanding of the law of nature and logic, the ontology will be useful to solve the difficulties of confusing ontology and perplexing logical inference. Furthermore, this book proposes that the historicized ontology can be generalized to more complicated structures and fit naturally into temporal correlation. Core philosophical issues such as the law of nature, the ontology of events, history, and processes, and the metaphysics of history are coherently discussed, revealing the profound meaning behind the formalism of quantum histories. By providing a new framework for a historicized picture of ontology, it will effectively promote the debates in the philosophy of physics and the fundamental research in quantum mechanics. This book will appeal to scholars and students of the philosophy of science, metaphysics, and quantum theory.
It is argued that in Bohmian mechanics the effective wave function of a subsystem of the universe does not encode the influences of other par-ticles on the subsystem. This suggests that the ontology of Bohmian mechanics does not consist only in Bohmian particles and their posi-tions. It is nonetheless pointed out that since the wave function in configuration space may represent the state of ergodic motion of non-Bohmian particles in three-dimensional space, the ontology of Bohmian mechanics may still consist only in particles. Bohmian mechanics, which is also called the de Broglie-Bohm theory, is a realistic alternative to standard quantum mechanics initially proposed by de Broglie (1928) and later developed by Bohm (1952). According to the theory, a complete realistic description of a quantum system is provided by the configuration defined by the positions of its particles together with its wave function. It has been a hot topic of debate how to interpret the wave function in the theory. Recently Esfeld et al (2013) further developed the nomological interpretation of the wave function, as suggested by Dürr, Goldstein and Zangh̀ı (1997), Goldstein and Teufel (2001) and Goldstein and Zangh̀ı (2012). They argued that the ontology of Bohmian mechanics consists only in Bohmian particles and their positions, and in particular, the effective wave function of a subsystem of the universe encodes the influences of other particles in the universe on the subsystem. In this note, we will argue that this interesting view may be problematic. The Bohmian law of motion is expressed by two equations, a guiding equation for the configuration of particles in three-dimensional space and the Schrödinger equation, describing the time evolution of the wave function, which enters the guiding equation. The law can be formulated as follows: dQ(t) dt = vΨ(t)(Q(t)). (1)
The aim of this book is to provide a comprehensive guide to the metaphysics of Bohmian mechanics. Bohmian mechanics is a quantum theory that describes the motion of particles following trajectories that are determined by the quantum wave-function. The key question that the theory has to face relates to the ontological interpretation of the quantum wave-function. The main debate has mostly centered around two opposing views, wave-function realism on the one hand, and the nomological view on the other hand. The supporters of the former believe that the wave-function is a physical field living in a high-dimensional space; the supporters of the latter regard the wave-function as just an entity that appears in the laws of nature and lacks physical status. This monograph discusses both views open-mindedly, illuminating their tacit problems and providing new insight into how they can be overcome. Moreover, it discusses the structuralist view, which is often neglected and which can be regarded as a reconciliation of the two main opposing camps.
The paper explains why an ontology of permanent point particles that are individuated by their relative positions and that move on continuous trajectories as given by a deterministic law of motion constitutes the best solution to the measurement problem in both quantum mechanics and quantum field theory. This case is made by comparing the Bohmian theory to collapse theories such as the GRW matter density and the GRW flash theory. It is argued that the Bohmian theory makes the minimal changes, concerning only the dynamics and neither the ontology nor the account of probabilities, that are necessary to get from classical mechanics to quantum physics. There is no cogent reason to go beyond these minimal changes.