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Quantum Entanglement, Internality and Dependence

Pasqualini, Matías Daniel

Published Jan 1, 2025• 0 citations
OpenAlex

Abstract

The metaphysics of quantum entanglement has been a subject of interest among philosophers of physics in recent decades. Entanglement is commonly described as a relation that does not depend on the intrinsic properties of its relata. This feature has led some authors to propose that the quantum reality is fundamentally relational and/or holistic. Moreover, it has been employed to support various influential metaphysical perspectives within the metaphysics of science, including structuralism, monism, and, recently, coherentism. This paper advocates a non-reductionist approach to internal relations, drawing on Fine’s analysis of propositions involving essential properties. Assuming the pervasiveness of quantum entanglement, it is argued that treating it as an internal relation is the most compelling option. Under this interpretation, entanglement can be accommodated within different metaphysical frameworks: (1) as a fundamental internal relation, it aligns with structuralism; (2) as a derivative internal relation, it is compatible with monism; and (3) as a relation of dependence, it supports coherentism.

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The metaphysics of quantum entanglement has been a subject of interest among philosophers of physics in recent decades. Entanglement is commonly described as a relation that does not depend on the intrinsic properties of its relata. This feature has led some authors to propose that the quantum reality is fundamentally relational and/or holistic. Moreover, it has been employed to support various influential metaphysical perspectives within the metaphysics of science, including structuralism, monism, and, recently, coherentism. This paper advocates a non-reductionist approach to internal relations, drawing on Fine’s analysis of propositions involving essential properties. Assuming the pervasiveness of quantum entanglement, it is argued that treating it as an internal relation is the most compelling option. Under this interpretation, entanglement can be accommodated within different metaphysical frameworks: (1) as a fundamental internal relation, it aligns with structuralism; (2) as a derivative internal relation, it is compatible with monism; and (3) as a relation of dependence, it supports coherentism.
As far as classical physics is concerned, it is possible to trace causal relations between physical objects (i.e. particles in this case) back to intrinsic properties of these objects (such as their mass and charge). On this view, causal relations turn out to be internal instead of external relations, supervening on intrinsic properties of the relata (as proposed by Heil and Lowe). However, one can raise doubts about this view already in Newtonian mechanics. The decisive blow to this view comes from quantum physics, with Bell’s theorem proving that no dynamics based on local, intrinsic properties of quantum objects can yield the empirical predictions of quantum mechanics. Nonetheless, quantum entanglement by no means implies that we have to abandon an ontology of objects (i.e. substances such as particles) in favour of an ontology of structures (as claimed by French and Ladyman). Any of the known proposals for a quantum ontology of matter in space-time is committed to objects. However, on any of these proposals, what determines the dynamics of these objects are not local, intrinsic properties, but a global or holistic property instantiated by all the objects together – that is, a structure that takes all the objects in the universe as its relata. The view set out in this paper thus amounts to combining ontic structural realism with an ontology of objects that can be conceived as substances. This suggestion is illustrated by drawing on the ontology of quantum physics worked out by Bohm and Bell. 1.
In this chapter it is argued that the decisive argument against the reducibility of causal relations comes from quantum physics. Bell’s theorem proves that no dynamics based on the local, intrinsic properties of quantum objects can yield the empirical predictions of quantum mechanics. Nonetheless, it is argued that quantum entanglement by no means implies that we have to abandon an ontology of objects in favour of an ontology of structures. All extant proposals for a quantum ontology of matter in spacetime are committed to objects, whose dynamics are determined not by their local, intrinsic properties, but by an holistic property instantiated by all the objects together—a structure that takes all the objects in the universe as its relata. The view set out in this chapter combines ontic structural realism with an ontology of objects that can be conceived as substances.
In this paper we argue against the orthodox definition of quantum entanglement which has been explicitly grounded on several "common sense" (metaphysical) presuppositions and presents today serious formal and conceptual drawbacks. This interpretation which some researchers in the field call "minimal", has ended up creating a narrative according to which QM talks about "small particles" represented by pure states (in general, superpositions) which --each time someone attempts to observe what is going on-- suddenly "collapse" to a single measurement outcome. After discussing the consequences of applying 'particle metaphysics' within the definition of entanglement we turn our attention to two recent approaches which might offer an interesting way out of this metaphysical conundrum. Both approaches concentrate their efforts in going beyond the notion of 'system'. While the first, called device-independent approach, proposes an operational anti-metaphysical scheme in which language plays an essential role; the second approach, takes an essentially metaphysical path which attempts to present a new non-classical representation grounded on intensive relations which, in turn, imposes the need to reconsider the definition and meaning of quantum entanglement.
Although David Bohm's interpretation of quantum mechanics is sometimes thought to be a kind of regression towards classical thinking, it is in fact an extremely radical metaphysics of nature. The view goes far beyond the familiar but perennially peculiar non-locality and entanglement of quantum systems. In this paper, a philosophical exploration, I examine three core features of Bohm's metaphysical views, which have been both supported by features of quantum mechanics and integrated into a comprehensive system. These are the holistic nature of the world, the role of a unique kind of information as the ontological basis of the world, and the integration of mentality into this basis as an essential and irreducible aspect of it.
In this paper we we will argue against the orthodox definition of quantum entanglement which has been implicitly grounded on several widespread (metaphysical) presuppositions which have no relation whatsoever to the formalism of QM. We will show how these presuppositions have been introduced through a naive interpretation of the quantum mathematical structure which assumes dogmatically that the theory talks about "small particles" represented by pure states (in general, superpositions) which suddenly "collapse" when a measurement takes place. In the second part of this paper we will present a non-collapse approach to QM which makes no use whatsoever of particle metaphysics, escaping the need to make reference to space-time separability or the restriction to certain predictions of definite valued binary properties. Our paper ends up concluding the essential need to redefine the notion of quantum entanglement, at least in the cases of: i) non-collapse interpretations of QM; or, ii) any other interpretation which abandons the idea that QM makes reference to "small particles".
Quantum decoherence is a dynamical process whereby a system's phase relations become delocalized due to interaction and subsequent entanglement with its environment. This delocalization, or decoherence, forces the quantum system into a state that is apparently classical (or apparently an eigenstate) by prodigiously suppressing features that typically give rise to so-called quantum behavior. Thus it has been frequently proposed by physicists and philosophers alike that decoherence explains the dynamical transition from quantum behavior to classical behavior. Statements like this assume the existence of distinct realms, however, and the present thesis is an exploration of the metaphysical consequences of quantum decoherence motivated by the question of the quantum-to-classical transition and interlevel relations: if there are in-principle ``classical' and ``quantum' levels, what are the relations between them? And if there are no such levels, what follows? Importantly, the following philosophical investigations are carried out by intentionally leaving aside the measurement problem and concerns about particular interpretations of quantum mechanics. Good philosophical work, it is argued, can be done without adopting a specific interpretational framework and without recourse to the measurement problem. After introducing the physics of decoherence and exploring the four canonical models applied to system-environment interactions, it is argued that, ontologically speaking, there exist no levels. This claim--called the ``nontological thesis'--exposes as ill-posed questions regarding the transition from the quantum regime to the classical regime and reveals the inappropriateness of interlevel relations (like reduction, supervenience and emergence) operating within metaphysical frameworks. The nontological thesis has further important consequences regarding intralevel relations: not only are there no meaningful ways to carve the world into levels, but there are no meaningful ways to carve the world into parts and wholes either. These conclusions, supported by quantum decoherence and the empirical success of its models, drastically alter the philosophical terrain--not just in physics or in the philosophy of physics, but in traditional metaphysics as well.