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  1. Quantum Gravity.Carlo Rovelli - 2007 - Cambridge University Press.
    Quantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the (...)
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  • On the Plurality of Worlds.David Lewis - 1986 - Wiley-Blackwell.
    This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.
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  • The Emergent Multiverse: Quantum Theory According to the Everett Interpretation.David Wallace - 2012 - Oxford University Press.
    David Wallace argues that we should take quantum theory seriously as an account of what the world is like--which means accepting the idea that the universe is constantly branching into new universes. He presents an accessible but rigorous account of the 'Everett interpretation', the best way to make coherent sense of quantum physics.
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  • Time in Quantum Gravity.Nick Huggett, Tiziana Vistarini & Christian Wuthrich - 2012 - .
    Quantum gravity--the marriage of quantum physics with general relativity--is bound to contain deep and important lessons for the nature of physical time. Some of these lessons shall be canvassed here, particularly as they arise from quantum general relativity and string theory and related approaches. Of particular interest is the question of which of the intuitive aspects of time will turn out to be fundamental, and which 'emergent' in some sense.
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  • Reconsidering Relativistic Causality.Jeremy Butterfield - 2007 - International Studies in the Philosophy of Science 21 (3):295 – 328.
    I discuss the idea of relativistic causality, i.e., the requirement that causal processes or signals can propagate only within the light-cone. After briefly locating this requirement in the philosophy of causation, my main aim is to draw philosophers' attention to the fact that it is subtle, indeed problematic, in relativistic quantum physics: there are scenarios in which it seems to fail. I set aside two such scenarios, which are familiar to philosophers of physics: the pilot-wave approach, and the Newton-Wigner representation. (...)
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  • What Time Reversal Invariance is and Why It Matters.John Earman - 2002 - International Studies in the Philosophy of Science 16 (3):245 – 264.
    David Albert's Time and Chance (2000) provides a fresh and interesting perspective on the problem of the direction of time. Unfortunately, the book opens with a highly non-standard exposition of time reversal invariance that distorts the subsequent discussion. The present article not only has the remedial goal of setting the record straight about the meaning of time reversal invariance, but it also aims to show how the niceties of this symmetry concept matter to the problem of the direction of time (...)
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  • The CPT Theorem.Frank Arntzenius - 2011 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
     
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  • Time in Quantum Gravity.C. Kiefer - 2011 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press. pp. 667.
     
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  • Time in Quantum Mechanics.Jan Hilgevoord & David Atkinson - 2001 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
    Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of quantum mechanics that forces us to treat position and time differently. (...)
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  • Time, Tense, and Causation.Michael Tooley - 1997 - Oxford University Press.
    Michael Tooley presents a major new philosophical theory of the nature of time, offering a powerful alternative to the traditional "tensed" and recent "tenseless" accounts of time. He argues for a dynamic conception of the universe, in which past, present, and future are not merely subjective features of experience. He claims that the past and the present are real, while the future is not. Tooley's approach accounts for time in terms of causation. He therefore claims that the key to understanding (...)
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  • Many Worlds?: Everett, Quantum Theory, & Reality.Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.) - 2010 - Oxford University Press UK.
    What would it mean to apply quantum theory, without restriction and without involving any notion of measurement and state reduction, to the whole universe? What would realism about the quantum state then imply? This book brings together an illustrious team of philosophers and physicists to debate these questions. The contributors broadly agree on the need, or aspiration, for a realist theory that unites micro- and macro-worlds. But they disagree on what this implies. Some argue that if unitary quantum evolution has (...)
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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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  • Stochastic Outcomes in Branching Space-Time: Analysis of Bell's Theorem.Tomasz Placek - 2000 - British Journal for the Philosophy of Science 51 (3):445-475.
    The paper extends the framework of outcomes in branching space-time (Kowalski and Placek [1999]) by assigning probabilities to outcomes of events, where these probabilities are interpreted either epistemically or as weighted possibilities. In resulting models I define the notion of common cause of correlated outcomes of a single event, and investigate which setups allow for the introduction of common causes. It turns out that a deterministic common cause can always be introduced, but (surprisingly) only special setups permit the introduction of (...)
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  • On the Plurality of Worlds.Allen Stairs - 1988 - Philosophy and Phenomenological Research 49 (2):333-352.
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  • Worlds in the Everett Interpretation.David Wallace - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (4):637-661.
    This is a discussion of how we can understand the world-view given to us by the Everett interpretation of quantum mechanics, and in particular the role played by the concept of 'world'. The view presented is that we are entitled to use 'many-worlds' terminology even if the theory does not specify the worlds in the formalism; this is defended by means of an extensive analogy with the concept of an 'instant' or moment of time in relativity, with the lack of (...)
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  • The Symplectic Camel and the Uncertainty Principle: The Tip of an Iceberg? [REVIEW]Maurice A. de Gosson - 2009 - Foundations of Physics 39 (2):194-214.
    We show that the strong form of Heisenberg’s inequalities due to Robertson and Schrödinger can be formally derived using only classical considerations. This is achieved using a statistical tool known as the “minimum volume ellipsoid” together with the notion of symplectic capacity, which we view as a topological measure of uncertainty invariant under Hamiltonian dynamics. This invariant provides a right measurement tool to define what “quantum scale” is. We take the opportunity to discuss the principle of the symplectic camel, which (...)
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  • Background-Independence.Gordon Belot - 2011 - General Relativity and Gravitation 43:2865-2884.
    Intuitively, a classical field theory is background-in- dependent if the structure required to make sense of its equations is itself subject to dynamical evolution, rather than being imposed ab initio. The aim of this paper is to provide an explication of this intuitive notion. Background-independence is not a not formal property of theories: the question whether a theory is background-independent depends upon how the theory is interpreted. Under the approach proposed here, a theory is fully background-independent relative to an interpretation (...)
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  • Decoherence and its Role in the Modern Measurement Problem.David Wallace - unknown
    Decoherence is widely felt to have something to do with the quantum measurement problem, but getting clear on just what is made diffcult by the fact that the "measurement problem", as traditionally presented in foundational and philosophical discussions, has become somewhat disconnected from the conceptual problems posed by real physics. This, in turn, is because quantum mechanics as discussed in textbooks and in foundational discussions has become somewhat removed from scientific practice, especially where the analysis of measurement is concerned. This (...)
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  • Spacetime and the Philosophical Challenge of Quantum Gravity.Jeremy Butterfield & Chris Isham - 2001 - In Physics Meets Philosophy at the Panck Scale. Cambridge University Press.
    We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient theories' (quantum theory and general relativity), as a 4-dimensional manifold equipped with a Lorentzian metric. After an introduction (Section 1), we briefly review the conceptual problems of the ingredient theories (Section 2) and introduce the enterprise of quantum gravity (Section 3). We then describe how three main research programmes in quantum (...)
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  • Some Worlds of Quantum Theory.Jeremy Butterfield - 2001 - In R. J. Russell, N. Murphy & C. J. Isham (eds.), Quantum Physics and Divine Action. Vatican Observatory Publications. pp. 111--140.
    Abstract: This paper assesses the Everettian approach to the measurement problem, especially the version of that approach advocated by Simon Saunders and David Wallace. I emphasise conceptual, indeed metaphysical, aspects rather than technical ones; but I include an introductory exposition of decoherence. In particular, I discuss whether---as these authors maintain---it is acceptable to have no precise definition of 'branch' (in the Everettian kind of sense). (A version of this paper will appear in a CTNS/Vatican Observatory volume on Quantum Theory and (...)
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  • Many Worlds: An Introduction.Simon Saunders - unknown
    This is a self-contained introduction to the Everett interpretation of quantum mechanics. It is the introductory chapter of Many Worlds? Everett, quantum theory, and reality, S. Saunders, J. Barrett, A. Kent, and D. Wallace, Oxford University Press.
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  • On the Energy-Time Uncertainty Relation. Part II: Pragmatic Time Versus Energy Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):33-43.
    The discussion of a particular kind of interpretation of the energy-time uncertainty relation, the “pragmatic time” version of the ETUR outlined in Part I of this work [measurement duration (pragmatic time) versus uncertainty of energy disturbance or measurement inaccuracy] is reviewed. Then the Aharonov-Bohm counter-example is reformulated within the modern quantum theory of unsharp measurements and thereby confirmed in a rigorous way.
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  • On the Energy-Time Uncertainty Relation. Part I: Dynamical Time and Time Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):1-32.
    The problem of the validity and interpretation of the energy-time uncertainty relation is briefly reviewed and reformulated in a systematic way. The Bohr-Einsteinphoton-box gedanken experiment is seen to illustrate the complementarity of energy andevent time. A more recent experiment with amplitude-modulated Mößbauer quanta yields evidence for the genuine quantum indeterminacy of event time. In this way, event time arises as a quantum observable.
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  • The Oxford Handbook of Philosophy of Time.Craig Callender (ed.) - 2011 - Oxford University Press.
    As the study of time has flourished in the physical and human sciences, the philosophy of time has come into its own as a lively and diverse area of academic research. Philosophers investigate not just the metaphysics of time, and our experience and representation of time, but the role of time in ethics and action, and philosophical issues in the sciences of time, especially with regard to quantum mechanics and relativity theory. This Handbook presents twenty-three specially written essays by leading (...)
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  • Reassessing the Prospects for a Growing Block Model of the Universe.John Earman - 2008 - International Studies in the Philosophy of Science 22 (2):135 – 164.
    Although C. D. Broad's notion of Becoming has received a fair amount of attention in the philosophy-of-time literature, there are no serious attempts to show how to replace the standard 'block' spacetime models by models that are more congenial to Broad's idea that the sum total of existence is continuously increased by Becoming or the coming into existence of events. In the Newtonian setting Broad-type models can be constructed in a cheating fashion by starting with a Newtonian block model, carving (...)
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  • Time in Quantum Physics: From an External Parameter to an Intrinsic Observable. [REVIEW]Romeo Brunetti, Klaus Fredenhagen & Marc Hoge - 2010 - Foundations of Physics 40 (9-10):1368-1378.
    In the Schrödinger equation, time plays a special role as an external parameter. We show that in an enlarged system where the time variable denotes an additional degree of freedom, solutions of the Schrödinger equation give rise to weights on the enlarged algebra of observables. States in the associated GNS representation correspond to states on the original algebra composed with a completely positive unit preserving map. Application of this map to the functions of the time operator on the large system (...)
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  • Six Possible Worlds of Quantum Mechanics.J. S. Bell - 1992 - Foundations of Physics 22 (10):1201-1215.
  • Apart From Universes.David Deutsch - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press. pp. 542--552.
  • QM and STR: The Combining of Quantum Mechanics and Relativity Theory.Storrs McCall - 2000 - Philosophy of Science 67 (3):548.
    Combining quantum mechanics with special relativity requires (i) that a spacetime representation of quantum states be found; (ii) that such states, represented as extended along equal-time hyperplanes, be invariant when transformed from one frame to another; and (iii) that collapses of states be instantaneous in every frame. These requirements are met using branching spacetime, in which probabilities of outcomes are represented by the numerical proportions of branches on which the outcomes occur. Quantum states of systems are then identified with the (...)
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  • Heisenberg's Uncertainty Principle.Paul Busch, Teiko Heinonen & Pekka Lahti - unknown
    Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the (...)
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  • On the Emergence of Time in Quantum Gravity.Jeremy Butterfield & Chris Isham - 1999 - In The Arguments of Time. Published for the British Academy by Oxford University Press. pp. 111--168.
    We discuss from a philosophical perspective the way in which the normal concept of time might be said to `emerge' in a quantum theory of gravity. After an introduction, we briefly discuss the notion of emergence, without regard to time. We then introduce the search for a quantum theory of gravity ; and review some general interpretative issues about space, time and matter. We then discuss the emergence of time in simple quantum geometrodynamics, and in the Euclidean approach. Section 6 (...)
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  • Time in Quantum Mechanics: A Story of Confusion.Jan Hilgevoord - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):29-60.
  • The Philosophy of Quantum Mechanics.Max Jammer - 1974 - New York: Wiley.
  • .Nicolas Wüthrich - 2016
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  • Lectures on Quantum Theory : Mathematical and Structural Foundations.C. J. Isham - 1995 - Imperial College Press.
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  • Uncertainty Principle and Uncertainty Relations.J. B. M. Uffink & Jan Hilgevoord - 1985 - Foundations of Physics 15 (9):925-944.
    It is generally believed that the uncertainty relation Δq Δp≥1/2ħ, where Δq and Δp are standard deviations, is the precise mathematical expression of the uncertainty principle for position and momentum in quantum mechanics. We show that actually it is not possible to derive from this relation two central claims of the uncertainty principle, namely, the impossibility of an arbitrarily sharp specification of both position and momentum (as in the single-slit diffraction experiment), and the impossibility of the determination of the path (...)
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  • Time in Quantum Mechanics: A Story of Confusion.Jan Hilgevoord - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):29-60.
  • The Uncertainty Principle.Jan Hilgevoord & Jos Uffink - unknown
    Quantum mechanics is generally regarded as the physical theory that is our best candidate for a fundamental and universal description of the physical world. The conceptual framework employed by this theory differs drastically from that of classical physics. Indeed, the transition from classical to quantum physics marks a genuine revolution in our understanding of the physical world.
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