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Routledge eBooks

The histories interpretation of quantum mechanics

Kefu Zhu

Published Aug 22, 2025• 0 citations
Publisher

Abstract

This chapter discusses the main points and thought sources of the quantum histories interpretation. Section 3.1 introduces its core concepts, theoretical assumptions, and basic formalism first, as well as how probability calculations and propositional reasoning are performed here, and shows how this interpretation depicts the process by which (quasi-)classicality is derived from quantum histories. Section 3.2 sorts out the five important thought sources from which it emerges: the Copenhagen interpretation, Feynman’s sum-over-histories formulation of quantum mechanics, Wigner’s measurement theory, Everett’s relative state interpretation or many-worlds interpretation, and the mechanism of decoherence. Their respective correlations, similarities, and differences with the quantum histories interpretation are briefly analyzed. In the appendix to this chapter, three notorious paradoxes showing intractable aspects of quantum mechanics, namely the Einstein-Podolsky-Rosen (EPR) paradox, Wheeler’s delayed choice gedankenexperiment, and Frauchiger–Renner paradox, are formulated via history chain operator analysis in the quantum histories formalism.

DOI
10.4324/9781003662860-3

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This chapter discusses the main points and thought sources of the quantum histories interpretation. Section 3.1 introduces its core concepts, theoretical assumptions, and basic formalism first, as well as how probability calculations and propositional reasoning are performed here, and shows how this interpretation depicts the process by which (quasi-)classicality is derived from quantum histories. Section 3.2 sorts out the five important thought sources from which it emerges: the Copenhagen interpretation, Feynman’s sum-over-histories formulation of quantum mechanics, Wigner’s measurement theory, Everett’s relative state interpretation or many-worlds interpretation, and the mechanism of decoherence. Their respective correlations, similarities, and differences with the quantum histories interpretation are briefly analyzed. In the appendix to this chapter, three notorious paradoxes showing intractable aspects of quantum mechanics, namely the Einstein-Podolsky-Rosen (EPR) paradox, Wheeler’s delayed choice gedankenexperiment, and Frauchiger–Renner paradox, are formulated via history chain operator analysis in the quantum histories formalism.
This article surveys a selection of key conceptual and interpretational developments in quantum mechanics, tracing the theory from its foundational postulates to contemporary discussions of measurement, nonlocality, and the emergence of classicality. Beginning with the structure of Hilbert space and the postulates governing state evolution and measurement, the epistemic stance of the Copenhagen interpretation and its modern reformulations are examined. The Einstein–Podolsky–Rosen argument, Bell’s theorem, and Hardy’s paradox are then discussed as probes of locality and realism, alongside the deterministic but explicitly nonlocal de Broglie–Bohm theory. The measurement problem and the implications of contextuality are analyzed in relation to objective collapse models, which introduce new physical dynamics to account for definite outcomes. Finally, the role of decoherence in the suppression of interference and the emergence of classical behavior is explored, together with the interpretational frameworks of many-worlds and consistent histories. This material aims to provide a coherent introductory overview of how several of the most prominent interpretations address the central concern of what quantum mechanics tells us about the nature of physical reality.
This article surveys a selection of key conceptual and interpretational developments in quantum mechanics, tracing the theory from its foundational postulates to contemporary discussions of measurement, nonlocality, and the emergence of classicality. Beginning with the structure of Hilbert space and the postulates governing state evolution and measurement, the epistemic stance of the Copenhagen interpretation and its modern reformulations are examined. The Einstein-Podolsky-Rosen argument, Bell's theorem, and Hardy's paradox are then discussed as probes of locality and realism, alongside the deterministic but explicitly nonlocal de Broglie-Bohm theory. The measurement problem and the implications of contextuality are analyzed in relation to objective collapse models, which introduce new physical dynamics to account for definite outcomes. Finally, the role of decoherence in the suppression of interference and the emergence of classical behavior is explored, together with the interpretational frameworks of many-worlds and consistent histories. This material aims to provide a coherent introductory overview of how several of the most prominent interpretations address the central concern of what quantum mechanics tells us about the nature of physical reality.
This chapter, along with the next two chapters, sets the basic context for the readers to go into the topic of this book. Physicists, mathematicians, and philosophers struggle to clarify the foundations of quantum mechanics and debate on the interpretations of quantum mechanics. What is the foundation of quantum mechanics and how to interpret the formalism of quantum mechanics are the core issues of concern in the philosophy of physics. These two questions also involve fundamental issues in the general philosophy of science and even metaphysics and epistemology. This chapter introduces the original thoughts, historical developments, and current status of the interpretation of quantum mechanics, as well as its connection with the philosophy of science and metaphysics; it also analyzes the classifications by Bell, Leifer, and Cabello on the spectrum of interpretations of quantum mechanics, which can be regarded as a sort of “navigation map”. On this basis, the main object of discussion in this book is introduced – the quantum histories interpretation.
This chapter discusses the ontological and logical issues involved in criticisms. The ontology of quantum histories interpretation is based on two core contents. One is the stochastic evolution dynamics, which is similar to standard quantum mechanics; the other is the reasoning principles (especially the single-framework rule) that must be followed if the quantum process is expressed in the histories formalism, which makes the interpretation deviate from previous rules of classical propositional reasoning. Although in those cases where classical mechanics can be regarded as an approximation of quantum mechanics, the “quantum logic” proposed by histories interpretation is enough to reduce to the classical propositional logic, there are still unresolved challenges regarding the relationship between the new and old logics, the new and old ontologies. In particular, there is a certain anti-realism in the expressions of the founders of the quantum histories interpretation, which causes mutual influence between the characterization of the properties of quantum histories and the logical inference of quantum histories propositions.
The interpretation of quantum mechanics has been disputed ever since the advent of the theory in the 1920’s. Famous are the discussions over long time between Einstein and Bohr. Einstein refused to accept the so‐called Copenhagen interpretation, where the wave function collapses at a measurement and where the outcome of the measurement is essentially accidental (“God does not play dice”). Alternative interpretations have appeared, but the Copenhagen school has dominated the thoughts throughout the decades. One interesting interpretation was formulated in 1957 by Hugh Everett at Princeton, a student of John Wheeler, which abandons the wave‐function collapse. In this model the universe is governed entirely by the Schrödinger equation, which does not allow for any collapse. In Everett’s model after a measurement the wave function is separated into different branches that do not interact. This model was left unnoticed for long time until Bryce DeWitt took it up in 1970 and termed it “Many‐Worlds Interpretation”, a term that in some sense is misleading. Everett’s model is incomplete, and it was later supplemented by the theory of decoherence, which explains how the different branches decouple as a result of the interaction with the environment. This extended model has in recent years gained increased respect, and some believe that it is the only model made available so far that is fully consistent with quantum mechanics. This interpretation can also shed some light on the development of the universe and, in particular, on the so‐called Anthropic principle, which puts human beings at the center of the development.
This chapter, based on the background information of the previous chapter, will review the formalism of quantum mechanics – its fundamental mathematical structure (the basic contents of Hilbert space representation and operator algebra representation) and physical assumptions (kinematics, dynamics, and measurement theory). These are the premise and foundation for discussing the quantum histories interpretation. Then, in combination with the viewpoints of some literature in recent years, we will explore what is the interpretation of quantum mechanics, analyze the relationship between the theory of quantum mechanics and its interpretation, and declare the author’s basic stance on these two issues. These two are the primary issues that all interpretive work in the philosophy of physics will face (not limited to the interpretation of quantum mechanics), and the necessary clarification here is also conducive to the subsequent discussion. Three common terms – theory, formalism, and interpretation – are explicated and differentiated by offering the necessary definitions of their meanings, based on the works of Acuña and Ruetsche. The clarification will help to make the subsequent related discussions more precise.