Chapter

The Logic of Quanta

Steven French and Décio Krause

in Identity in Physics

Published in print June 2006 | ISBN: 9780199278244
Published online September 2006 | e-ISBN: 9780191603952 | DOI: http://dx.doi.org/10.1093/0199278245.003.0009
 The Logic of Quanta

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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

Chapter.  14187 words. 

Subjects: Philosophy of Science

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