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과학철학

Ontological Foundation of Quantum Field Theory I: Ontological Division of Force and Matter and the Possibility of Holistic World -View

Zae-young Ghim

Published Jan 1, 2007• 0 citations
OpenAlex

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Quantum field theory (QFT) can be analyzed in terms of its mathematical structure, its conceptual system for physical descriptions, or its basic ontology. The analysis can be done logically or historically. In this chapter, only the genesis of the conceptual foundations of QFT relevant to its basic ontology will be treated; no discussion of its mathematical structures or its epistemological underpinnings will be given. Some conceptual problems, such as those related to probability and measurement, will be discussed, but only because of their relevance to the basic ontology of QFT, rather than their intrinsic philosophical interest. Here, by basic ontology I mean the irreducible entities that QFT is invented to describe. The often mentioned candidates for the basic ontology of QFT, in fact of the physical world, are the discrete particle and the continuous field. Another possible candidate (the spacetime point) has also been suggested recently (Redhead, 1983). Since the aim of this chapter is to analyze the historical process in which the conceptual foundations of QFT were laid down, rather than the logical structure of QFT which philosophers of the present day treat, no discussion of the last possibility will be given. The content of this chapter involves the formation and interpretation, in a roughly chronological order, of the concepts of the wave function, quantization, quantization of the field, the vacuum, interactions between fields, and renormalization. The first two topics will be discussed in relation to the quantization of the field, with their role being taken as the starting point of the conceptual development of QFT.
The status of the quantum wave function is one of the most debated issues in quantum foundations---whether it corresponds directly to the reality or just represents knowledge or information about some aspect of reality. We propose a $\ensuremath{\psi}$-ontology theorem that excludes a class of ontological explanations where the quantum wave function is treated as mere information. Our result, unlike the acclaimed Pusey-Barrett-Rudolph's theorem, does not presume the absence of holistic ontological properties for product quantum preparations. At the core of our derivation, we utilize the seminal no-go result by Bell that rules out any local realistic world view for quantum theory. We show that the observed phenomenon of quantum nonlocality cannot be incorporated in a class of $\ensuremath{\psi}$-epistemic models. Using the well-known Clauser-Horne-Shimony-Holt inequality, we obtain a threshold bound on the degree of epistemicity above which the ontological models are not compatible with quantum statistics.