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  1. Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.David B. Malament - 2012 - Chicago: Chicago University Press.
    1.1 Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Tangent Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (...)
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  • Three myths about time reversal in quantum theory.Bryan W. Roberts - 2017 - Philosophy of Science 84 (2):315-334.
    Many have suggested that the transformation standardly referred to as `time reversal' in quantum theory is not deserving of the name. I argue on the contrary that the standard definition is perfectly appropriate, and is indeed forced by basic considerations about the nature of time in the quantum formalism.
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  • Antimatter.David John Baker & Hans Halvorson - 2010 - British Journal for the Philosophy of Science 61 (1):93-121.
    The nature of antimatter is examined in the context of algebraic quantum field theory. It is shown that the notion of antimatter is more general than that of antiparticles. Properly speaking, then, antimatter is not matter made up of antiparticles—rather, antiparticles are particles made up of antimatter. We go on to discuss whether the notion of antimatter is itself completely general in quantum field theory. Does the matter–antimatter distinction apply to all field theoretic systems? The answer depends on which of (...)
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  • QFT, antimatter, and symmetry.David Wallace - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):209-222.
    A systematic analysis is made of the relations between the symmetries of a classical field and the symmetries of the one-particle quantum system that results from quantizing that field in regimes where interactions are weak. The results are applied to gain a greater insight into the phenomenon of antimatter.
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  • An Introduction to Quantum Field Theory.Michael Peskin & Dan Schroeder - 1995 - Westview Press.
    An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the (...)
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  • The Motion of a Body in Newtonian Theories.James Owen Weatherall - 2011 - Journal of Mathematical Physics 52 (3):032502.
    A theorem due to Bob Geroch and Pong Soo Jang [“Motion of a Body in General Relativity.” Journal of Mathematical Physics 16, ] provides the sense in which the geodesic principle has the status of a theorem in General Relativity. Here we show that a similar theorem holds in the context of geometrized Newtonian gravitation. It follows that in Newtonian gravitation, as in GR, inertial motion can be derived from other central principles of the theory.
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  • The CPT Theorem.Frank Arntzenius - 2011 - In Craig Callender, The Oxford Handbook of Philosophy of Time. Oxford University Press.
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  • Cpt Invariance and the Spin-Statistics Connection.Jonathan Bain - 2016 - Oxford University Press UK.
    This book seeks to answer the question "What explains CPT invariance and the spin-statistics connection?" These properties play foundational roles in relativistic quantum field theories, are supported by high-precision experiments, and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table of the elements, to superconductors and superfluids. They can be derived in RQFTs by means of the famous CPT and Spin-Statistics theorems; but, the author argues, these theorems cannot be said to explain these properties, (...)
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  • Towards a geometrical understanding of the cpt theorem.Hilary Greaves - 2010 - British Journal for the Philosophy of Science 61 (1):27-50.
    The CPT theorem of quantum field theory states that any relativistic (Lorentz-invariant) quantum field theory must also be invariant under CPT, the composition of charge conjugation, parity reversal and time reversal. This paper sketches a puzzle that seems to arise when one puts the existence of this sort of theorem alongside a standard way of thinking about symmetries, according to which spacetime symmetries (at any rate) are associated with features of the spacetime structure. The puzzle is, roughly, that the existence (...)
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  • The Twofold Role of Observables in Classical and Quantum Kinematics.Federico Zalamea - 2018 - Foundations of Physics 48 (9):1061-1091.
    Observables have a dual nature in both classical and quantum kinematics: they are at the same time quantities, allowing to separate states by means of their numerical values, and generators of transformations, establishing relations between different states. In this work, we show how this twofold role of observables constitutes a key feature in the conceptual analysis of classical and quantum kinematics, shedding a new light on the distinguishing feature of the quantum at the kinematical level. We first take a look (...)
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  • On the CPT theorem.Hilary Greaves & Teruji Thomas - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:46-65.
    We provide a careful development and rigorous proof of the CPT theorem within the framework of mainstream quantum field theory. This is in contrast to the usual rigorous proofs in purely axiomatic frameworks, and non-rigorous proof-sketches in the mainstream approach. We construct the CPT transformation for a general field directly, without appealing to the enumerative classification of representations, and in a manner that is clearly related to the requirements of our proof. Our approach applies equally in Minkowski spacetimes of any (...)
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  • Geometry of State Spaces of Operator Algebras.Erik M. Alfsen & Frederic W. Shultz - 2002 - Springer Verlag.
    In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­spectively, and the characterization of their state spaces is not only of interest in itself, but is also (...)
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  • Review of Jonathan Bain’s CPT Invariance and the Spin-Statistics Connection. [REVIEW]Noel Swanson - 2018 - Philosophy of Science 85 (3):530-539.
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