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Identity in PhysicsA Historical, Philosophical, and Formal Analysis$
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Steven French and Décio Krause

Print publication date: 2006

Print ISBN-13: 9780199278244

Published to Oxford Scholarship Online: September 2006

DOI: 10.1093/0199278245.001.0001

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The Logic of Quanta

The Logic of Quanta

(p.354) 9 The Logic of Quanta
Identity in Physics

Steven French (Contributor Webpage)

Décio Krause

Oxford University Press

This chapter begins with a philosophically-oriented outline of quantum field theory that looks at the different ways in which a quantum field can be constructed. The difficulties in articulating a particle ontology are discussed, and it is argued that any putative interpretation of the theory must accommodate the observed particle ‘grin’. A range of metaphysical options are explored, including trope theory and Davudson’s theory of events. The foundations of Fock space are presented in detail from the model-theoretic perspective, and it is suggested that quasi-set theory provides the appropriate formal foundation. Thus, the quanta of quantum field theory can also be accommodated in terms of the overall framework of this work.

Keywords:   Fock space, quanta, logic of quanta, quantum field theory, quasi-set theory

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