by JLS
for the GC
M. Kuhlmann wrote, "In Search of an Ontology for Quantum Field Theory" -- citing Strawson on revisionary metaphysics, etc.
I Introduction 7
II Context, Methods and Presuppositions
1 Philosophical Background
1.1 The Development of Atomism in the History of Philosophy .
1.2 Philosophical Versus Scienti c Atomism . . . . . . . . . . .
1.3 Atomism and Reductionism . . . . . . . . . . . . . . . . . .
2 Ontology and Physics
2.1 \On What There Is": Notions of Ontology . . . . . . . . . .
2.2 The Analytical Tradition of Ontology . . . . . . . . . . . . .
2.3 Excursion: No-Go Theorems in Quantum Physics . . . . . .
3 Fundamentals of Quantum Physics
3.1 The Legacy of Quantum Mechanics . . . . . . . . . . . . . .
3.2 The Standard Formalism of QFT and its Problems . . . . .
3.3 The Relation of QFT and AQFT . . . . . . . . . . . . . . .
3.4 Basic Ideas of AQFT . . . . . . . . . . . . . . . . . . . . . .
4 (A)QFT as Objects of Philosophy 48
4.1 Quantum Mechanics versus QFT . . . . . . . . . . . . . . .
4.2 QFT versus Algebraic QFT . . . . . . . . . . . . . . . . . .
4.3 The Philosophical Interest in (A)QFT . . . . . . . . . . . .
III Classical Ontologies
5 Classical vs. Revisionary Ontologies
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . .
5.2 Aristotle's Theory of Substances . . . . . . . . . . . . . . . .
5.3 Substances under Attack . . . . . . . . . . . . . . . . . . . .
6 The Particle Interpretation of QFT
6.1 The Particle Concept . . . . . . . . . . . . . . . . . . . . . .
6.2 Theory and Experiment in Elementary Particle Physics -
Is a Particle Track a Track of a Particle? . . . . . . . . . . .
6.3 Localization Problems . . . . . . . . . . . . . . . . . . . . .
6.3.1 The Clash of Causality and Localizability . . . . . .
6.3.2 Locating the Origin of Non-Localizability . . . . . . .
6.4 Further Problems for a Particle Interpretation of QFT . . .
6.5 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7 Field Interpretations of QFT
7.1 The Field Concept . . . . . . . . . . . . . . . . . . . . . . .
7.2 Fields as Basic Entities of QFT . . . . . . . . . . . . . . . .
7.2.1 The Role of Field Operators in QFT . . . . . . . . .
7.2.2 Indirect Evidence for Fields . . . . . . . . . . . . . .
IV Revisionary Ontologies
8 Process Ontology
8.1 The Strands of Process Ontology . . . . . . . . . . . . . . .
8.2 Why Process Ontology in QM and QFT? . . . . . . . . . . .
8.3 A `Case Study': Consequences of the Ontological Hypotheses
for the Interpretation of Feynman Diagrams . . . . . . .
8.4 Evaluation of the `Case Study' . . . . . . . . . . . . . . . . .
8.5 Remaining Problems . . . . . . . . . . . . . . . . . . . . . .
9 Trope Ontology
9.1 Introduction - The Ontological Status of Properties . . . . .
9.2 Trope Ontology as a Solution to the Problem of Universals .
9.3 The Bundle Theory of Tropes . . . . . . . . . . . . . . . . .
9.4 Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . .
V Proposal for a New Ontology of QFT
10 Dispositional Trope Ontology
10.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . .
10.2 Dispositional Tropes of `Many-Particle Systems' . . . . . . .
10.2.1 `Elementary Particles' . . . . . . . . . . . . . . . . .
10.2.2 Individuality of Quantum Objects . . . . . . . . . . .
10.2.3 Dispositions and Tropes . . . . . . . . . . . . . . . .
10.2.4 An Example . . . . . . . . . . . . . . . . . . . . . . .
10.3 From Many-Particle Systems to Fields . . . . . . . . . . . .
10.4 Reconciliation of Theory and Experience . . . . . . . . . . .
10.5 Summing Up . . . . . . . . . . . . . . . . . . . . . . . . . .
VI Conclusion
11 The Interplay of Physics and Philosophy
12 Evaluation and Comparison
12.1 General Remarks . . . . . . . . . . . . . . . . . . . . . . . .
12.2 Comparison of Ontological Approaches to QFT . . . . . . .
12.2.1 Particles Versus Fields . . . . . . . . . . . . . . . . .
12.2.2 Processes Versus Tropes . . . . . . . . . . . . . . . .
12.2.3 The Merits of Dispositional Trope Ontology . . . . .
VII Glossaries
Physics Glossary
Philosophy Glossary
VIII Appendices
A The Quantum Theory of Measurement
B Assumptions of AQFT
C Proof of Malament's No-Go Theorem
References
Acknowledgement
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