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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. Physics and Metaphysics.Sevalnikov A. . . - 2008 - 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 (...)
  2. The Quantum Probabilistic Approach to the Foundations of Quantum Theory: Urns and Chameleons.Luigi Accardi - 1999 - In Roberto Giuntini, Maria Luisa Dalla Chiara & Federico Laudisa (eds.), Language, Quantum, Music. pp. 95.
  3. A Potentiality and Conceptuality Interpretation of Quantum Physics.Diederik Aerts - 2010 - 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 (...)
  4. The Creation-Discovery-View: Towards a Possible Explanation of Quantum Reality.Diederik Aerts & Bob Coecke - 1999 - In Maria Luisa Dalla Chiara, Roberto Giuntini & Federico Laudisa (eds.), Language, Quantum, Music. Springer. pp. 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.
  5. Causality and Chance in Modern Physics. [REVIEW]James Albertson - 1959 - Modern Schoolman 36 (2):134-135.
  6. La Natura Delle Cose: Introduzione Ai Fondamenti E Alla Filosofia Della Fisica.Valia Allori, Mauro Dorato, Federico Laudisa & Nino Zanghi (eds.) - 2005 - Carocci.
    The year 2005 has been named the World Year of Physics in recognition of the 100th anniversary of Albert Einstein's "Miracle Year," in which he published four landmark papers which had deep and great influence on the last and the current century: quantum theory, general relativity, and statistical mechanics. Despite the enormous importance that Einstein’s discoveries played in these theories, most physicists adopt a version of quantum theory which is incompatible with the idea that motivated Einstein in the first place. (...)
  7. Perhaps (?), New logical foundations are needed for quantum mechanics.J. Almog - 1978 - Logique Et Analyse 21 (82):251.
  8. L. de Broglie e a Interpretação das Leis Microfísicas.Vitorino de Sousa Alves - 1961 - Revista Portuguesa de Filosofia 17 (1):62 - 76.
  9. Wave Function Realism in a Relativistic Setting.Ney Alyssa - manuscript
    This paper proposes a strategy for extending the wave function realist interpretation of quantum mechanics to the case of relativistic quantum theories and responds to the arguments of Wallace and Timpson (2010) and Myrvold (2015) that this cannot be done.
  10. Wave–Particle Duality: An Information-Based Approach.R. M. Angelo & A. D. Ribeiro - 2015 - Foundations of Physics 45 (11):1407-1420.
    Recently, Bohr’s complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would simultaneously behave as wave and particle. Here we defend a framework that, supported by well-known experimental results and consistent with the decoherence paradigm, allows us to interpret complementarity in terms of correlations between the system and an informer. Our proposal offers formal definition and operational interpretation (...)
  11. Making the Quantum of Relevance.Constantin Antonopoulos - 2005 - 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 (...)
  12. A First-Order Equation for Spin in a Manifestly Relativistically Covariant Quantum Theory.A. Arensburg & L. P. Horwitz - 1992 - 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 (...)
  13. Stochastic Foundation for Microphysics. A Critical Analysis.J. C. Aron - 1981 - 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 (...)
  14. Book Review:Quantum Mechanics, a Half Century Later J.L. Lopes, M. Paty. [REVIEW]Richard T. W. Arthur - 1981 - Philosophy of Science 48 (1):156-.
  15. Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology.Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato - 2015 - Foundations of Physics 45 (10):1362-1378.
    We discuss foundational issues of quantum information biology —one of the most successful applications of the quantum formalism outside of physics. QIB provides a multi-scale model of information processing in bio-systems: from proteins and cells to cognitive and social systems. This theory has to be sharply distinguished from “traditional quantum biophysics”. The latter is about quantum bio-physical processes, e.g., in cells or brains. QIB models the dynamics of information states of bio-systems. We argue that the information interpretation of quantum mechanics (...)
  16. Relativity, Quantum Mechanics, and Measurement.Ramez Aziz Atiya - 1979 - Dissertation, The University of Utah
  17. Book Review:Perspectives in Quantum Theory: Essays in Honor of Alfred Lande Wolfgang Yourgrau, Alwyn Van Der Merwe. [REVIEW]Michael N. Audi - 1973 - Philosophy of Science 40 (2):323-.
  18. Verschränkte Welt. Faszination der Quanten.Jürgen Audretsch (ed.) - 2002 - Wiley.
  19. Wieviele Leben Hat Schrödingers Katze?Jürgen Audretsch & Klaus Mainzer (eds.) - 1990 - Bibliographisches Institut.
  20. Contexts, Systems and Modalities: A New Ontology for Quantum Mechanics.Alexia Auffèves & Philippe Grangier - 2016 - Foundations of Physics 46 (2):121-137.
    In this article we present a possible way to make usual quantum mechanics fully compatible with physical realism, defined as the statement that the goal of physics is to study entities of the natural world, existing independently from any particular observer’s perception, and obeying universal and intelligible rules. Rather than elaborating on the quantum formalism itself, we propose a new quantum ontology, where physical properties are attributed jointly to the system, and to the context in which it is embedded. In (...)
  21. Everettian Interpretations of Quantum Mechanics.Iep Author - 2016 - Internet Encyclopedia of Philosophy.
    Everettian Interpretations of Quantum Mechanics Between the 1920s and the 1950s, the mathematical results of quantum mechanics were interpreted according to what is often referred to as “the standard interpretation” or the “Copenhagen interpretation.” This interpretation is known as the “collapse interpretation" because it supposes that an observer external to a system causes the system, … Continue reading Everettian Interpretations of Quantum Mechanics →.
  22. Quantum Mechanics, Interpretations Of.Iep Author - 2016
    Interpretations of Quantum Mechanics Quantum mechanics is a physical theory developed in the 1920s to account for the behavior of matter on the atomic scale. It has subsequently been developed into arguably the most empirically successful theory in the history of physics. However, it is hard to understand quantum mechanics as a description of the … Continue reading Quantum Mechanics, Interpretations of →.
  23. Pilot-Wave Quantum Theory with a Single Bohm’s Trajectory.Francesco Avanzini, Barbara Fresch & Giorgio J. Moro - 2016 - Foundations of Physics 46 (5):575-605.
    The representation of a quantum system as the spatial configuration of its constituents evolving in time as a trajectory under the action of the wave-function, is the main objective of the de Broglie–Bohm theory. However, its standard formulation is referred to the statistical ensemble of its possible trajectories. The statistical ensemble is introduced in order to establish the exact correspondence between the probability density on the spatial configurations and the quantum distribution, that is the squared modulus of the wave-function. In (...)
  24. On Modal Systems Having Arithmetical Interpretations.Arnon Avron - 1984 - Journal of Symbolic Logic 49 (3):935-942.
  25. A Critic Looks at QBism.Guido Bacciagaluppi - unknown
    This paper comments on a paper by Chris Fuchs. Both papers are to appear in "New Directions in the Philosophy of Science", eds. M. C. Galavotti, S. Hartmann, M. Weber, W. Gonzalez, D. Dieks and T. Uebel. This paper presents some mild criticisms of Fuchs's views, some based on the EPR and Wigner's friend scenarios, and some based on the quantum theory of measurement. A few alternative suggestions for implementing a subjectivist interpretation of probability in quantum mechanics conclude the paper.
  26. Modal Interpretations, Decoherence and Measurements.Guido Bacciagaluppi & Meir Hemmo - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (3):239-277.
  27. The Concept of Indistinguishable Particles in Classical and Quantum Physics.Alexander Bach - 1988 - 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.
  28. A Complete Graphical Calculus for Spekkens’ Toy Bit Theory.Miriam Backens & Ali Nabi Duman - 2016 - Foundations of Physics 46 (1):70-103.
    While quantum theory cannot be described by a local hidden variable model, it is nevertheless possible to construct such models that exhibit features commonly associated with quantum mechanics. These models are also used to explore the question of \-ontic versus \-epistemic theories for quantum mechanics. Spekkens’ toy theory is one such model. It arises from classical probabilistic mechanics via a limit on the knowledge an observer may have about the state of a system. The toy theory for the simplest possible (...)
  29. The Quantum Story: A History in 40 Moments.J. E. Baggott - 2011 - 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 (...)
  30. Postponing the Past: An Operational Analysis of Delayed-Choice Experiments. [REVIEW]M. Bahrami & A. Shafiee - 2010 - 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, (...)
  31. Measurement Outcomes and Probability in Everettian Quantum Mechanics.David J. Baker - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):153-169.
  32. Piron's Foundation of Quantum Mechanics (Comment on His Paper).W. Balzer - 1981 - Erkenntnis 16 (3):403 - 406.
  33. Proof of Kolmogorovian Censorship.Gergely Bana & Thomas Durt - 1997 - Foundations of Physics 27 (10):1355-1373.
  34. The Empirical Determination of Quantum States.William Band & James L. Park - 1970 - 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. (...)
  35. Reciprocal Ontological Models Show Indeterminism Comparable to Quantum Theory.Somshubhro Bandyopadhyay, Manik Banik, Some Sankar Bhattacharya, Sibasish Ghosh, Guruprasad Kar, Amit Mukherjee & Arup Roy - 2017 - Foundations of Physics 47 (2):265-273.
    We show that within the class of ontological models due to Harrigan and Spekkens, those satisfying preparation-measurement reciprocity must allow indeterminism comparable to that in quantum theory. Our result implies that one can design quantum random number generator, for which it is impossible, even in principle, to construct a reciprocal deterministic model.
  36. Does Quantum Mechanics Disprove the Principle of the Identity of Indiscernibles?R. L. Barnette - 1978 - Philosophy of Science 45 (3):466-470.
  37. The Strange World of Quantum Mechanics Daniel F. Styer. [REVIEW]Jeffrey A. Barrett - 2001 - British Journal for the Philosophy of Science 52 (2):393-396.
  38. The VIP Experimental Limit on the Pauli Exclusion Principle Violation by Electrons.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 - 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 (...)
  39. 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]Angelo Bassi (ed.) - 2006 - 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.
  40. Probability in a Discrete Model of Particles and Observations.Ted Bastin - 1974 - Synthese 29 (1-4):203 - 227.
  41. Classical Interpretation of a Deformed Quantum Oscillator.J. Batouli & M. El Baz - 2014 - 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.
  42. Comments on “On the Quantum Mechanical Superposition of Macroscopically Distinguishable States”.D. Bedford & D. Wang - 1983 - 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.
  43. Time Reversal Symmetry and Collapse Models.D. J. Bedingham & O. J. E. Maroney - 2017 - Foundations of Physics 47 (5):670-696.
    Dynamical collapse models embody the idea of a physical collapse of the wave function in a mathematically well-defined way. They involve modifications to the standard rules of quantum theory in order to describe collapse as a physical process. This appears to introduce a time reversal asymmetry into the dynamics since the state at any given time depends on collapses in the past but not in the future. Here we challenge this conclusion by demonstrating that, subject to specified model constraints, collapse (...)
  44. Nondemolition Principle of Quantum Measurement Theory.V. P. Belavkin - 1994 - 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 (...)
  45. ‘Against the Stream’—Schrödinger's Interpretation of Quantum Mechanics.Mara Beller - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (3):421-432.
  46. Non‐Seperability, Non‐Supervenience, and Quantum Ontology.Darrin W. Belousek - 2003 - 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.
  47. Perspectives on Quantum Reality: A Critical Survey.Darrin W. Belousek - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (3):415-420.
  48. Ontological Commitments and Theory Appraisal in the Interpretation of Quantum Mechanics.Darrin Windsor Belousek - 1998 - 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 (...)
  49. Quantum Mechanics and Operational Probability Theory.E. G. Beltrametti & S. Bugajski - 2002 - 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.
  50. Nonlocality and the Epistemic Interpretation of Quantum Mechanics.Yemima Ben-Menahem - unknown
    According to the current epistemic interpretation of quantum probabilities, the quantum correlations manifesting nonlocality can be derived from purely probabilistic and information-theoretic constraints. As such, they do not constitute a spacetime phenomenon and cannot lead to conflict between QM and any spatial-temporal constraints. This paper compares recent epistemic interpretations with earlier probabilistic interpretations, noting their merits as well as the difficulties they encounter. In particular, the implications of the recent PBR theorem are examined. While generally seen as undermining the epistemic (...)
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