
Contents
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1. Introduction 1. Introduction
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2. How do Quantities Transform Under PT? 2. How do Quantities Transform Under PT?
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3. Pt in Classical Tensor Field Theories 3. Pt in Classical Tensor Field Theories
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4. Pt in Quantum Tensor Field Theories 4. Pt in Quantum Tensor Field Theories
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5. Pt in Spinor Field Theories 5. Pt in Spinor Field Theories
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6. Tentative Conclusions 6. Tentative Conclusions
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References References
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21 The CPT Theorem
Get accessFrank Arntzenius is Professor of Philosophy at Oxford University and is the Sir Peter Strawson Fellow at University College, Oxford. His research, so far, has mostly been in philosophy of physics and in decision theory. He just finished writing a book on the structure of space and time, which will come out with Oxford University Press. He is now switching his research area to political philosophy, and is particularly interested in peace studies and peace activism.
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Published:02 September 2011
Cite
Abstract
The CPT theorem says that any Lorentz invariant quantum field theory must also be invariant under the combined operation of charge conjugation C, parity P, and time reversal T, even though none of those individual invariances need hold. It is quite strange. Why should a quantum field theory be invariant under the combination of two spatiotemporal discrete transformations, and then a quite different type of transformation (matter–anti-matter transformation)? In one of the first attacks on these and related questions by a philosopher, this chapter argues that CPT symmetry is better understood as PT symmetry. If the author is right, CPT symmetry is really saying that quantum field theory does not care about temporal orientation or spatial handedness.
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