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WORLD SCIENTIFIC eBooks

Quantum Field Theory: The Only Realistic Theory of the Quantum World

Published Oct 1, 2002• 0 citations
Publisher
DOI
10.1142/9789812776495_0004

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According to spacetime state realism (SSR), the fundamental ontology of a quantum mechanical world consists of a state-valued field evolving in four-dimensional spacetime. One chief advantage it claims over rival wave-function realist views is its natural compatibility with relativistic quantum field theory (QFT). I argue that the original density operator formulation of SSR cannot be extended to QFTs where the local observables form type III von Neumann algebras. Instead, I propose a new formulation of SSR in terms of a presheaf of local state spaces dual to the net of local observables studied by algebraic QFT. 1. Introduction 2. Spacetime State Realism in Quantum Field Theory 2.1. Equivalence thesis 3. Entanglement and the Type III Property 3.1. No-Go Lemma 1 3.2. No-Go Lemma 2 4. State Space Axioms for Quantum Field Theory 4.1. Revised equivalence thesis 5. Discussion