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Summary 'Interpretations' of quantum mechanics are traditionally characterized by their responses to the measurement problem: how can the deterministic unitary quantum dynamics, expressed in the Schrodinger equation, give rise to particular sequences of measurement outcomes with probabilities given by the Born rule? But the main competing responses to the measurement problem are not interpretations of some agreed core theory; rather, they are logically incompatible theories which generally posit some additional dynamical structure over and above the unitary dynamics. For example, Bohmian mechanics adds 'hidden variables', such as particles with precise locations, which are guided by a field with the same structure as the unitary quantum state; and dynamical collapse theories posit a new stochastic dynamical process of state collapse. An important exception is Everettian quantum mechanics, or the 'many worlds interpretation', which adds no new structure and instead attempts to recover determinate measurement outcomes perspectivally.
Key works Bell 2004 set the scene for almost all contemporary discussions, and was an eloquent advocate of Bohmian mechanics. Saunders et al 2010 contains in-depth discussion of the pros and cons of the Everett interpretation.
Introductions Albert 1992 is a vivid and entertaining introduction to the measurement problem. Goldstein 2008 gives a thorough account of Bohmian mechanics. Vaidman 2008 does the same for Everettian quantum mechanics.
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  1. Sevalnikov A. (2008). Physics and Metaphysics. Proceedings of the Xxii World Congress of Philosophy 43:193-198.
    Modern physics asks: how do the objects exist? This kind of question inevitably touches upon philosophy; to be precise, it involves metaphysics that traditionally deals with these problems. There are grounds to assume that a quantum object in a certain sense does not exist until it is registered. Thus, one of the conclusions says, “Photon is a photon if it is a registered photon”. This is a paraphrase of well-known Wheeler’s words about the essence of quantum phenomenon. These effects cannot (...)
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  2. Luigi Accardi (1999). The Quantum Probabilistic Approach to the Foundations of Quantum Theory: Urns and Chameleons. In Roberto Giuntini, Maria Luisa Dalla Chiara & Federico Laudisa (eds.), Language, Quantum, Music. 95.
  3. Diederik Aerts (2010). A Potentiality and Conceptuality Interpretation of Quantum Physics. Philosophica 83.
    We elaborate on a new interpretation of quantum mechanics which we introduced recently. The main hypothesis of this new interpretation is that quantum particles are entities interacting with matter conceptually, which means that pieces of matter function as interfaces for the conceptual content carried by the quantum particles. We explain how our interpretation was inspired by our earlier analysis of non-locality as non-spatiality and a specific interpretation of quantum potentiality, which we illustrate by means of the example of two interconnected (...)
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  4. Diederik Aerts & Bob Coecke (1999). The Creation-Discovery-View: Towards a Possible Explanation of Quantum Reality. In Maria Luisa Dalla Chiara, Roberto Giuntini & Federico Laudisa (eds.), Language, Quantum, Music. Springer 105--116.
    The creation discovery view and together with it its technically underlying hidden measurement formalism has been elaborated from the early eighties on, and many aspects of it have been exposed in different places [6, 7, 12, 13, 15, 16, 19, 20, 22, 23, 30–37]. In this paper we give an overview of the most important of these aspects.
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  5. James Albertson (1959). Causality and Chance in Modern Physics. [REVIEW] Modern Schoolman 36 (2):134-135.
  6. Constantin Antonopoulos (2005). Making the Quantum of Relevance. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 36 (2):223 - 241.
    The two Heisenberg Uncertainties (UR) entail an incompatibility between the two pairs of conjugated variables E, t and p, q. But incompatibility comes in two kinds, exclusive of one another. There is incompatibility defineable as: (p → -q) & (q → -p) or defineable as [(p → -q) & (q → -p)] ↔ r. The former kind is unconditional, the latter conditional. The former, in accordance, is fact independent, and thus a matter of logic, the latter fact dependent, and thus (...)
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  7. A. Arensburg & L. P. Horwitz (1992). A First-Order Equation for Spin in a Manifestly Relativistically Covariant Quantum Theory. Foundations of Physics 22 (8):1025-1039.
    Relativistic quantum mechanics has been formulated as a theory of the evolution ofevents in spacetime; the wave functions are square-integrable functions on the four-dimensional spacetime, parametrized by a universal invariant world time τ. The representation of states with spin is induced with a little group that is the subgroup of O(3, 1) leaving invariant a timelike vector nμ; a positive definite invariant scalar product, for which matrix elements of tensor operators are covariant, emerges from this construction. In a previous study (...)
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  8. J. C. Aron (1981). Stochastic Foundation for Microphysics. A Critical Analysis. Foundations of Physics 11 (9-10):699-720.
    The stochastic scheme proposed in a previous paper as subjacent to quantum mechanics is analyzed in the light of the difficulties and criticisms encountered by similar attempts. It is shown that the limitation of the domain where the theory is valid gives a reply to the criticisms, but restricts its practical usefulness to the description of basic features. A stochastic approach of the hadron mass spectrum, allowing the scheme to emerge in the domain of experimental verification (to be worked out (...)
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  9. Richard T. W. Arthur (1981). Book Review:Quantum Mechanics, a Half Century Later J.L. Lopes, M. Paty. [REVIEW] Philosophy of Science 48 (1):156-.
  10. Ramez Aziz Atiya (1979). Relativity, Quantum Mechanics, and Measurement. Dissertation, The University of Utah
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  11. Michael N. Audi (1973). Book Review:Perspectives in Quantum Theory: Essays in Honor of Alfred Lande Wolfgang Yourgrau, Alwyn Van Der Merwe. [REVIEW] Philosophy of Science 40 (2):323-.
  12. Jürgen Audretsch (ed.) (2002). Verschränkte Welt. Faszination der Quanten. Wiley.
  13. Jürgen Audretsch & Klaus Mainzer (eds.) (1990). Wieviele Leben Hat Schrödingers Katze? Bibliographisches Institut.
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  14. Arnon Avron (1984). On Modal Systems Having Arithmetical Interpretations. Journal of Symbolic Logic 49 (3):935-942.
  15. Alexander Bach (1988). The Concept of Indistinguishable Particles in Classical and Quantum Physics. Foundations of Physics 18 (6):639-649.
    The consequences of the following definition of indistinguishability are analyzed. Indistinguishable classical or quantum particles are identical classical or quantum particles in a state characterized by a probability measure, a statistical operator respectively, which is invariant under any permutation of the particles. According to this definition the particles of classical Maxwell-Boltzmann statistics are indistinguishable.
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  16. J. E. Baggott (2011). The Quantum Story: A History in 40 Moments. Oxford University Press.
    Prologue: Stormclouds : London, April 1900 -- Quantum of action: The most strenuous work of my life : Berlin, December 1900 ; Annus Mirabilis : Bern, March 1905 ; A little bit of reality : Manchester, April 1913 ; la Comédie Française : Paris, September 1923 ; A strangely beautiful interior : Helgoland, June 1925 ; The self-rotating electron : Leiden, November 1925 ; A late erotic outburst : Swiss Alps, Christmas 1925 -- Quantum interpretation: Ghost field : Oxford, August (...)
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  17. M. Bahrami & A. Shafiee (2010). Postponing the Past: An Operational Analysis of Delayed-Choice Experiments. [REVIEW] Foundations of Physics 40 (1):55-92.
    The prominent characteristic of a delayed-choice effect is to make the choice between complementary types of phenomena after the relevant interaction between the system and measuring instrument has already come to an end. In this paper, we first represent a detailed comparative analysis of some early delayed-choice propositions and also most of the experimentally performed delayed-choice proposals in a coherent and unified quantum mechanical formulation. Taking into the account the represented quantum mechanical descriptions and also the rules of probability theory, (...)
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  18. W. Balzer (1981). Piron's Foundation of Quantum Mechanics (Comment on His Paper). Erkenntnis 16 (3):403 - 406.
  19. Gergely Bana & Thomas Durt (1997). Proof of Kolmogorovian Censorship. Foundations of Physics 27 (10):1355-1373.
  20. William Band & James L. Park (1970). The Empirical Determination of Quantum States. Foundations of Physics 1 (2):133-144.
    A common approach to quantum physics is enshrouded in a jargon which treats state vectors as attributes of physical systems and the concept of state preparation as a filtration scheme wherein a process involving measurement selects from a primordial assembly of systems those bearing some prescribed vector of interest. By contrast, the empirical experiences with which quantum theory is actually concerned relate measurement and preparation in quite an opposite manner. Reproducible preparation schemes are logically and temporally anterior to measurement acts. (...)
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  21. R. L. Barnette (1978). Does Quantum Mechanics Disprove the Principle of the Identity of Indiscernibles? Philosophy of Science 45 (3):466-470.
  22. Jeffrey A. Barrett (2001). The Strange World of Quantum Mechanics Daniel F. Styer. [REVIEW] British Journal for the Philosophy of Science 52 (2):393-396.
  23. S. Bartalucci, S. Bertolucci, M. Bragadireanu, M. Cargnelli, C. Curceanu, S. Di Matteo, J.-P. Egger, C. Guaraldo, M. Iliescu, T. Ishiwatari, M. Laubenstein, J. Marton, E. Milotti, D. Pietreanu, T. Ponta, A. Romero Vidal, D. L. Sirghi, F. Sirghi, L. Sperandio, O. Vazquez Doce, E. Widmann & J. Zmeskal (2010). The VIP Experimental Limit on the Pauli Exclusion Principle Violation by Electrons. Foundations of Physics 40 (7):765-775.
    In this paper we describe an experimental test of the validity of the Pauli Exclusion Principle (for electrons) which is based on a straightforward idea put forward a few years ago by Ramberg and Snow (Phys. Lett. B 238:438, 1990). We perform a very accurate search of X-rays from the Pauli-forbidden atomic transitions of electrons in the already filled 1S shells of copper atoms. Although the experiment has a very simple structure, it poses deep conceptual and interpretational problems. Here we (...)
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  24. Angelo Bassi (ed.) (2006). Quantum Mechanics: Are There Quantum Jumps? Trieste, Italy, 5 Spetember -2005 and on the Present Status of Quantum Mechanics Lošinj, Croatia 7-9 September 2005. [REVIEW] American Institute of Physics.
    This conference brought together experts in different fields related to the foundations of quantum mechanics, ranging from mathematical physics to experimental physics, as well as the philosophy of science. The major topics discussed are: collapse models, Bohemian mechanics and their relativistic extensions, other alternative formulation of quantum mechanics, properties of entanglement, statistical physics and probability theory, new experimental results, as well as philosophical and epistemological issues.
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  25. J. Batouli & M. El Baz (2014). Classical Interpretation of a Deformed Quantum Oscillator. Foundations of Physics 44 (2):105-113.
    Following the same procedure that allowed Shcrödinger to construct the (canonical) coherent states in the first place, we investigate on a possible classical interpretation of the deformed harmonic oscillator. We find that, these oscillator, also called q-oscillators, can be interpreted as quantum versions of classical forced oscillators with a modified q-dependant frequency.
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  26. D. Bedford & D. Wang (1983). Comments on “On the Quantum Mechanical Superposition of Macroscopically Distinguishable States”. Foundations of Physics 13 (10):987-988.
    The substance of the authors' disagreement with the views of D. Gutkowski and M. V. Valdes Franco is presented.
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  27. V. P. Belavkin (1994). Nondemolition Principle of Quantum Measurement Theory. Foundations of Physics 24 (5):685-714.
    We give an explicit axiomatic formulation of the quantum measurement theory which is free of the projection postulate. It is based on the generalized nondemolition principle applicable also to the unsharp, continuous-spectrum and continuous-in-time observations. The “collapsed state-vector” after the “objectification” is simply treated as a random vector of the a posterioristate given by the quantum filtering, i.e., the conditioning of the a prioriinduced state on the corresponding reduced algebra. The nonlinear phenomenological equation of “continuous spontaneous localization” has been derived (...)
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  28. Darrin W. Belousek (2003). Non‐Seperability, Non‐Supervenience, and Quantum Ontology. Philosophy of Science 70 (4):791-811.
    An argument to the effect that quantum mechanics commits us to the existence of non-supervenient relations, and therefore that we should admit such relations into our quantum ontology as fundamental entities, has been given by Teller and reformulated by French. This paper aims, first, to explicate and evaluate that argument; second, to extend its premises in order to assess its relevance for other interpretations of quantum mechanics; and, third, to clarify its implications for holism and individuation in quantum ontology.
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  29. Darrin W. Belousek (1997). Perspectives on Quantum Reality: A Critical Survey. Studies in History and Philosophy of Science Part B 28 (3):415-420.
  30. Darrin Windsor Belousek (1998). Ontological Commitments and Theory Appraisal in the Interpretation of Quantum Mechanics. Dissertation, University of Notre Dame
    The central question addressed in this work is, 'What ontological commitments are entailed by accepting the standard quantum-mechanical formalism as a theoretical framework within which to construct a descriptively adequate physical world picture?' Arguments in recent literature concerning the ontology of quantum mechanics have made claims regarding the indistinguishability and individuality of quantum particles--viz., that quantum particles are indistinguishable in principle and lack any individual identity--as well as the non-separability of quantum systems--viz., that quantum systems cannot be spatially individuated and (...)
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  31. E. G. Beltrametti & S. Bugajski (2002). Quantum Mechanics and Operational Probability Theory. Foundations of Science 7 (1-2):197-212.
    We discuss a generalization of the standard notion of probability space and show that the emerging framework, to be called operational probability theory, can be considered as underlying quantal theories. The proposed framework makes special reference to the convex structure of states and to a family of observables which is wider than the familiar set of random variables: it appears as an alternative to the known algebraic approach to quantum probability.
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  32. Fernando Birman (2009). Quantum Mechanics and the Plight of Physicalism. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (2):207-225.
    The literature on physicalism often fails to elucidate, I think, what the word physical in physical ism precisely means. Philosophers speak at times of an ideal set of fundamental physical facts, or they stipulate that physical means non-mental , such that all fundamental physical facts are fundamental facts pertaining to the non-mental. In this article, I will probe physicalism in the very much tangible framework of quantum mechanics. Although this theory, unlike “ideal physics” or some “final theory of non-mentality”, is (...)
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  33. Øistein Bjørnestad (1974). A Note on the so-Called Yes-No Experiments and the Foundations of Quantum Mechanics. Synthese 29 (1-4):243 - 253.
  34. Robin Blume-Kohout & Wojciech H. Zurek (2005). A Simple Example of “Quantum Darwinism”: Redundant Information Storage in Many-Spin Environments. Foundations of Physics 35 (11):1857-1876.
  35. David Bohm (1987). Unfolding Meaning a Weekend Dialogue with David Bohm.
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  36. David Joseph Bohm, Detlef D¨ Urr,1 Sheldon Goldstein,2 and Nino Zangh´I.
    David Bohm, Emeritus Professor of Theoretical Physics at Birkbeck College of the University of London and Fellow of the Royal Society, died of a heart attack on October 29, 1992 at the age of 74. Professor Bohm had been one of the world’s leading authorities on quantum theory and its interpretation for more than four decades. His contributions have been critical to all aspects of the field. He also made seminal contributions to plasma physics. His name appears prominently in the (...)
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  37. Aage Bohr, Ben R. Mottelson & Ole Ulfbeck (2004). The Principle Underlying Quantum Mechanics. Foundations of Physics 34 (3):405-417.
  38. H. -Hv Borzeszkowski (2000). Book Review: Quantum Measurements and Decoherence. Models and Phenomenology. By Michael B. Mensky. [REVIEW] Foundations of Physics 30 (11):1991-1994.
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  39. M. Božić, Z. Marić & J. P. Vigier (1992). De Broglian Probabilities in the Double-Slit Experiment. Foundations of Physics 22 (11):1325-1344.
    A new probability interpretation of interference phenomena in the double-slit experiment is proposed. It differs from the standard interpretation (based on elementary events happening in complementary, mutually exclusive setups—arrivals of waves to the screen when one of the slits is closed) which encounters the “paradox” that the law of total probability is violated. This new interpretation is free of such difficulties and paradoxes since it is based on compatible elementary events (events happening in the same setup in which happenall events (...)
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  40. Mirjana Božić & Zvonko Marić (1998). Quantum Interference, Quantum Theory of Measurement, and (In)Completeness of Quantum Mechanics. Foundations of Physics 28 (3):415-427.
    The new techniques and ideas in quantum interferometry with neutrons, photons, atoms, electrons, and Bose condensates that fluorished in the last two decades have influenced in a decisive way the thinking and the research in the foundations and interpretation of quantum mechanics. The controversies existing among different schools on the reality of matter waves of quantum theory, the postulates of quantum measurement theory, and the (in)completeness of quantum mechanics have to be approached now in a new way. Our argumentation follows (...)
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  41. Alessandro Braccesi (2008). Al di Là Dell'intuizione: Per Una Storia Della Fisica Del Ventesimo Secolo: Relatività E Quantistica. Bononia University Press.
    Proseguendo nella rilettura della fisica iniziata con il volume Una storia della fisica classica, l'autore tenta di tracciare una storia delle teorie della relatività e di quelle quantistiche. -/- Il taglio è quello del precedente volume: cercare di riscoprire le cose così come apparvero all'atto della loro scoperta e presentarle cercando di essere il più fedele possibile ai lavori originali, utilizzando ampie citazioni tratte da questi e mettendone in evidenza le motivazioni e i limiti. -/- Questa via, una via più (...)
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  42. Raymond D. Bradley, Does the Moon Exist Only When Someone Is Looking at It?
    He did so because he had long disagreed with a lot of the most important and influential physicists of his time, about the interpretation of that area of physics known as quantum physics that deals with the behaviour of objects in the microphysical, subatomic, world. Many of these physicists were committed to an interpretation from which it follows that nothing - the moon included - exists unless it is being observed. Einstein wanted to know whether Pais was on his side (...)
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  43. Raymond D. Bradley, How to Lose Your Grip On Reality? An Attack On Anti-Realism in Quantum Theory.
    [Abstract: Anti-realism – the denial that reality exists apart from our conceptions of it – is rampant, not just among Postmodernists and other literati, but also among many of the leading spokesmen of orthodox quantum theory – from Born, Bohr, and Heisenberg to Wheeler and Wigner. Undoubtedly they've done good physics. Why, then, do they indulge in bad metaphysics? This paper offers some answers.].
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  44. Raymond Trevor Bradley (2000). Agency and the Theory of Quantum Vacuum Interaction. World Futures 55 (3):227-275.
  45. P. J. Bralver (1983). Notes on the Quantum Mechanical Theory of Consciousness II. International Logic Review 28:119.
  46. P. J. Bralver (1979). Notes on the Quantum Mechanical Theory of Consciousness. International Logic Review 19:62.
  47. Thomas Breuer (1996). Subjective Decoherence in Quantum Measurements. Synthese 107 (1):1 - 17.
    General results about restrictions on measurements from inside are applied to quantum mechanics. They imply subjective decoherence: For an apparatus it is not possible to determine whether the joint system consisting of itself and the observed system is in a statistical state with or without interference terms; it is possible that the apparatus systematically mistakes the real pure state of the joint system for the decohered state. We discuss the relevance of subjective decoherence for quantum measurements and for the problem (...)
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  48. J. A. Brooke (1996). Operational Quantum Physics. Foundations of Physics 26:1563-1566.
  49. G. B. Brown (1933). The Physical Significance of the Quantum Theory. By F. A. Lindemann M.A., D.Phil., F.R.S., Professor of Experimental Philosophy in the University of Oxford. (Oxford: Clarendon Press. 1932. London: Humphrey Milford. Pp. Vi + 148. Price 7s. 6d.). [REVIEW] Philosophy 8 (29):112-.
  50. H. Brown (2007). A. Elitzur, S. Dolev and N. Kolenda, Editors, Quo Vadis Quantum Mechanics?, Springer, Berlin, Heidelberg, New York (2005) ISBN 3-540-22188-3 (61 Figs., 421pp., $ 59.95, Hardcover). [REVIEW] Studies in History and Philosophy of Science Part B 38 (4):979-982.
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