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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. A Scientific Metaphysical Naturalisation of Information.Bruce Long - 2018 - Dissertation,
    The objective of this thesis is to present a naturalised metaphysics of information, or to naturalise information, by way of deploying a scientific metaphysics according to which contingency is privileged and a-priori conceptual analysis is excluded (or at least greatly diminished) in favour of contingent and defeasible metaphysics. The ontology of information is established according to the premises and mandate of the scientific metaphysics by inference to the best explanation, and in accordance with the idea that the primacy of physics (...)
  2. Verständliche Quantenmechanik - Drei mögliche Weltbilder der Quantenphysik.Detlef Dürr & Dustin Lazarovici - 2018 - Springer Spektrum.
    Das vorliegende Buch richtet sich an Studierende der Physik, für die nach der Quantenmechanik-Vorlesung die wesentliche Frage offen geblieben ist: „Was sagt denn nun der mathematische Formalismus, den ich jetzt ausgiebig und ach so mühsam studiert habe, über die Natur aus?“. Bei der Suche nach der Antwort besprechen die Autoren unter anderem die modernen Quantentheorien, die von John Stuart Bell „Theorien ohne Beobachter“ genannt wurden: die Bohmsche Mechanik, die Kollaps-Theorie und die Viele-Welten-Theorie. -/- Neben zielgerichteten mathematischen Aussagen, die in Kursvorlesungen (...)
  3. Interpreting Quantum Entanglement: Steps Towards Coherentist Quantum Mechanics.Claudio Calosi & Matteo Morganti - forthcoming - British Journal for the Philosophy of Science:axy064.
    We put forward a new, ‘coherentist’ account of quantum entanglement, according to which entangled systems are characterized by symmetric relations of ontological dependence among the component particles. We compare this coherentist viewpoint with the two most popular alternatives currently on offer—structuralism and holism—and argue that it is essentially different from, and preferable to, both. In the course of this article, we point out how coherentism might be extended beyond the case of entanglement and further articulated.
  4. Interpretive Analogies Between Quantum and Statistical Mechanics.C. D. McCoy - manuscript
    Interpretive analogies between quantum mechanics and statistical mechanics are drawn out by attending to their common probabilistic structure and related to debates about primitive ontology and the measurement problem in quantum mechanics.
  5. Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function.Eddy Keming Chen - 2017 - Journal of Philosophy 114 (7):333-365.
    The mathematical structure of realist quantum theories has given rise to a debate about how our ordinary 3-dimensional space is related to the 3N-dimensional configuration space on which the wave function is defined. Which of the two spaces is our (more) fundamental physical space? I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I argue that when we consider which view leads to a deeper understanding of the physical world, especially given the deeper topological (...)
  6. Interpretations of Quantum Theory in the Light of Modern Cosmology.Castagnino Mario, Fortin Sebastian, Laura Roberto & Sudarsky Daniel - 2017 - Foundations of Physics 47 (11):1387-1422.
    The difficult issues related to the interpretation of quantum mechanics and, in particular, the “measurement problem” are revisited using as motivation the process of generation of structure from quantum fluctuations in inflationary cosmology. The unessential mathematical complexity of the particular problem is bypassed, facilitating the discussion of the conceptual issues, by considering, within the paradigm set up by the cosmological problem, another problem where symmetry serves as a focal point: a simplified version of Mott’s problem.
  7. What Becomes of a Causal Set.Christian Wuthrich & Craig Callender - 2017 - British Journal for the Philosophy of Science 68 (3):907-925.
    ABSTRACT Unlike the relativity theory it seeks to replace, causal set theory has been interpreted to leave space for a substantive, though perhaps ‘localized’, form of ‘becoming’. The possibility of fundamental becoming is nourished by the fact that the analogue of Stein’s theorem from special relativity does not hold in CST. Despite this, we find that in many ways, the debate concerning becoming parallels the well-rehearsed lines it follows in the domain of relativity. We present, however, some new twists and (...)
  8. Buddhism and Modern Physics, Volume 1.Robert Alan Paul - 2016 - Halifax, Canada: Self-published, Amazon.com.
    The book investigates distinctions between independent individuality and interactive relationality in physical phenomena. This is a common topic for investigation in modern physics and philosophy of science, and the topic is explored using contemporary research in those disciplines. Additionally, it is common for Buddhism to focus on relationships, and it proposes that independent individual things do not exist. In the context of physical reality, I take this Buddhist view as a hypothesis and examine it critically. We evaluate its arguments and (...)
  9. Semi-Classical Locality for the Non-Relativistic Path Integral in Configuration Space.Henrique Gomes - 2017 - Foundations of Physics 47 (9):1155-1184.
    In an accompanying paper Gomes, we have put forward an interpretation of quantum mechanics based on a non-relativistic, Lagrangian 3+1 formalism of a closed Universe M, existing on timeless configuration space \ of some field over M. However, not much was said there about the role of locality, which was not assumed. This paper is an attempt to fill that gap. Locality in full can only emerge dynamically, and is not postulated. This new understanding of locality is based solely on (...)
  10. 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 (...)
  11. 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.
  12. 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.
  13. Weak Value, Quasiprobability and Bohmian Mechanics.Kazuki Fukuda, Jaeha Lee & Izumi Tsutsui - 2017 - Foundations of Physics 47 (2):236-255.
    We clarify the significance of quasiprobability in quantum mechanics that is relevant in describing physical quantities associated with a transition process. Our basic quantity is Aharonov’s weak value, from which the QP can be defined up to a certain ambiguity parameterized by a complex number. Unlike the conventional probability, the QP allows us to treat two noncommuting observables consistently, and this is utilized to embed the QP in Bohmian mechanics such that its equivalence to quantum mechanics becomes more transparent. We (...)
  14. Quantum States as Objective Informational Bridges.Richard Healey - 2017 - Foundations of Physics 47 (2):161-173.
    A quantum state represents neither properties of a physical system nor anyone’s knowledge of its properties. The important question is not what quantum states represent but how they are used—as informational bridges. Knowing about some physical situations, an agent may assign a quantum state to form expectations about other possible physical situations. Quantum states are objective: only expectations based on correct state assignments are generally reliable. If a quantum state represents anything, it is the objective probabilistic relations between its backing (...)
  15. Two No-Go Theorems for Modal Interpretations of Quantum Mechanics.Pieter E. Vermaas - 1998 - Studies in History and Philosophy of Modern Physics 30 (3):403-431.
    Modal interpretations take quantum mechanics as a theory which assigns at all times definite values to magnitudes of quantum systems. In the case of single systems, modal interpretations manage to do so without falling prey to the Kochen and Specker no-go theorem, because they assign values only to a limited set of magnitudes. In this paper I present two further no-go theorems which prove that two modal interpretations become nevertheless problematic when applied to more than one system. The first theorem (...)
  16. Uncomfortable Bedfellows: Objective Quantum Bayesianism and the von Neumann–Lüders Projection Postulate.Armond Duwell - 2011 - Studies in History and Philosophy of Modern Physics 42 (3):167-175.
  17. GRW as an Ontology of Dispositions.Mauro Dorato & Michael Esfeld - 2009 - Studies in History and Philosophy of Modern Physics 41 (1):41-49.
    The paper argues that the formulation of quantum mechanics proposed by Ghirardi, Rimini and Weber is a serious candidate for being a fundamental physical theory and explores its ontological commitments from this perspective. In particular, we propose to conceive of spatial superpositions of non-massless microsystems as dispositions or powers, more precisely propensities, to generate spontaneous localizations. We set out five reasons for this view, namely that it provides for a clear sense in which quantum systems in entangled states possess properties (...)
  18. A Consistent Quantum Ontology.Robert B. Griffiths - 2013 - Studies in History and Philosophy of Modern Physics 44 (2):93-114.
    The histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic is employed which is compatible with the Hilbert-space structure of quantum mechanics as understood by von Neumann: quantum properties and their negations correspond to subspaces and their orthogonal complements. It employs a special syntactical rule to construct meaningful quantum expressions, quite different from the quantum logic of Birkhoff and von Neumann. Second, quantum time development is treated as an inherently stochastic process (...)
  19. The Parts and the Whole: Collapse Theories and Systems with Identical Constituents.GianCarlo Ghirardi - 2013 - Studies in History and Philosophy of Modern Physics 44 (1):40-47.
  20. Decision Theory and Information Propagation in Quantum Physics.Alan Forrester - 2007 - Studies in History and Philosophy of Modern Physics 38 (4):815-831.
  21. Measurement Outcomes and Probability in Everettian Quantum Mechanics.David Baker - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):153-169.
    The decision-theoretic account of probability in the Everett or many-worlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range over. But the existence of a preferred basis can only be established by the process of decoherence, which is itself probabilistic.
  22. Quantum Probability and Many Worlds.Meir Hemmo & Itamar Pitowsky - 2006 - Studies in History and Philosophy of Modern Physics 38 (2):333-350.
  23. 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 →.
  24. Pilot-Wave Quantum Theory in Discrete Space and Time and the Principle of Least Action.Janusz Gluza & Jerzy Kosek - 2016 - Foundations of Physics 46 (11):1502-1521.
    The idea of obtaining a pilot-wave quantum theory on a lattice with discrete time is presented. The motion of quantum particles is described by a \-distributed Markov chain. Stochastic matrices of the process are found by the discrete version of the least-action principle. Probability currents are the consequence of Hamilton’s principle and the stochasticity of the Markov process is minimized. As an example, stochastic motion of single particles in a double-slit experiment is examined.
  25. Quantum Mechanics: An Empiricist View.Paul Teller & Bas C. van Fraassen - 1995 - Philosophical Review 104 (3):457.
  26. The Philosophy of Quantum Mechanics: An Interactive Interpretation.Jeremy Butterfield & Richard Healey - 1992 - Philosophical Review 101 (4):911.
  27. The Structure and Interpretation of Quantum Mechanics.Richard Healey & R. I. G. Hughes - 1992 - Philosophical Review 101 (3):720.
  28. Replacing the Singlet Spinor of the EPR-B Experiment in the Configuration Space with Two Single-Particle Spinors in Physical Space.Michel Gondran & Alexandre Gondran - 2016 - Foundations of Physics 46 (9):1109-1126.
    Recently, for spinless non-relativistic particles, Norsen and Norsen et al. show that in the de Broglie–Bohm interpretation it is possible to replace the wave function in the configuration space by single-particle wave functions in physical space. In this paper, we show that this replacment of the wave function in the configuration space by single-particle functions in the 3D-space is also possible for particles with spin, in particular for the particles of the EPR-B experiment, the Bohm version of the Einstein–Podolsky–Rosen experiment.
  29. Probability and Realism in Quantum Mechanics.Allen Stairs - 1984 - Journal of Philosophy 81 (10):578.
  30. The Physical Significance of the Quantum Theory.V. F. Lenzen & F. A. Lindemann - 1932 - Journal of Philosophy 29 (21):581.
  31. An Interpretation of the Formalism of Quantum Mechanics in Terms of Epistemological Realism.Arthur Jabs - 1992 - British Journal for the Philosophy of Science 43 (3):405-421.
    We present an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. Elementary particles are considered as extended objects and nonlocal effects are included. The role of the new concepts in the problems of measurement and of the Einstein–Podolsky–Rosen correlations is described. Experiments to distinguish the proposed interpretation from the Copenhagen one are (...)
  32. Determination of a Wave Function Functional: The Constrained Search–Variational Method.X. -Y. Pan, V. Sahni & L. Massa - 2006 - Philosophical Magazine 86 (17-18):2673-2682.
  33. Dissertations: On the Mechanics of Effervescence and Fermentation and on the Mechanics of the Movement of the Muscles. Johann Bernoulli, Paul Maquet, August Ziggelaar.Domenico Bertoloni Meli - 2000 - Isis 91 (1):156-157.
  34. Quantum Mechanics and ExperienceDavid Z. Albert.John Forge - 1994 - Isis 85 (2):364-365.
  35. The Philosophy of Quantum Mechanics: An Interactive Interpretation. Richard Healey.Jeffrey Bub - 1991 - Isis 82 (3):606-607.
  36. On Entropy Production in the Madelung Fluid and the Role of Bohm’s Potential in Classical Diffusion.Eyal Heifetz, Roumen Tsekov, Eliahu Cohen & Zohar Nussinov - 2016 - Foundations of Physics 46 (7):815-824.
    The Madelung equations map the non-relativistic time-dependent Schrödinger equation into hydrodynamic equations of a virtual fluid. While the von Neumann entropy remains constant, we demonstrate that an increase of the Shannon entropy, associated with this Madelung fluid, is proportional to the expectation value of its velocity divergence. Hence, the Shannon entropy may grow due to an expansion of the Madelung fluid. These effects result from the interference between solutions of the Schrödinger equation. Growth of the Shannon entropy due to expansion (...)
  37. Quantum Implications: Essays in Honour of David Bohm.Basil Hiley & F. David Peat (eds.) - 2016 - Routledge.
    David Bohm is one of the foremost scientific thinkers of today and one of the most distinguished scientists of his generation. His challenge to the conventional understanding of quantum theory has led scientists to reexamine what it is they are going and his ideas have been an inspiration across a wide range of disciplines. _Quantum Implications_ is a collection of original contributions by many of the world' s leading scholars and is dedicated to David Bohm, his work and the issues (...)
  38. Journey Towards Sunyata From Quantum Mechanics.Debajyoti Gangopadhyay - 2009 - In Ramaranjan Mukherjee Mukherjee & Buddhadev Bhattacharya (eds.), Dimensions of Buddhism and Jainism ,Professor Suniti Kumar Pathak felicitation , Vol II. pp. pp 281-289.
    In this article we have tried basically to lay out an outline of possible overlap between the metaphysical standpoints of the Madhyamik Buddhism with the so called Copenhagen interpretation of quantum mechanics. We argued here that , both Madhyamik Buddhism as well as Copenhagen develop some common grounds of skepticism or cautionary notes against the classical intuitive Realist ideology committed to ontological priority of individual . So , though the presiding contexts of Madhyamik Buddhism and quantum mechanics are admittedly very (...)
  39. Quantum Mechanics as Generalised Theory of Probabilities.Michel Bitbol - unknown
    It is argued that quantum mechanics does not have merely a predictive function like other physical theories; it consists in a formalisation of the conditions of possibility of any prediction bearing upon phenomena whose circumstances of detection are also conditions of production. This is enough to explain its probabilistic status and theoretical structure.
  40. What is Orthodox Quantum Mechanics?David Wallace - unknown
    What is called ``orthodox'' quantum mechanics, as presented in standard foundational discussions, relies on two substantive assumptions --- the projection postulate and the eigenvalue-eigenvector link --- that do not in fact play any part in practical applications of quantum mechanics. I argue for this conclusion on a number of grounds, but primarily on the grounds that the projection postulate fails correctly to account for repeated, continuous and unsharp measurements and that the eigenvalue-eigenvector link implies that virtually all interesting properties are (...)
  41. 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 →.
  42. Quantum Superpositions and the Representation of Physical Reality Beyond Measurement Outcomes and Mathematical Structures.Christian de Ronde - unknown
    In this paper we intend to discuss the importance of providing a physical representation of quantum superpositions which goes beyond the mere reference to mathematical structures and measurement outcomes. This proposal goes in the opposite direction of the orthodox project which at- tempts to "bridge the gap" between the quantum formalism and common sense "classical reality" —precluding, right from the start, the possibility of interpreting quantum superpositions through non-classical notions. We will argue that in order to restate the problem of (...)
  43. PBR Theorem and Sub-Ensemble of Quantum State.Minseong Kim - unknown
    Pusey-Barrett-Rudolph theorem claims that $\psi$-epistemic understanding of quantum mechanics is in trouble. Not considering whether the theorem only applies for realist understanding of quantum theory, this paper instead shows that the actual issue the theorem exposes is whether every quantum state should be interpreted as representing all sub-ensemble possibilities. For example, if $|+\rangle$ was ``measured'' at time $t=0$ where $|+\rangle = /\sqrt{2}$, should we consider this quantum state as being solely $|+\rangle$, or representing all possible sub-ensembles such as $, $? (...)
  44. 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 (...)
  45. All is Psi.Lev Vaidman - unknown
    It is argued that standard quantum theory without collapse provides a satisfactory explanation of everything we experience in this and in numerous parallel worlds. The only fundamental ontology is the universal wave function evolving in a deterministic way without action at a distance.
  46. Spontaneously Emitted X-Rays: An Experimental Signature of the Dynamical Reduction Models.C. Curceanu, S. Bartalucci, A. Bassi, M. Bazzi, S. Bertolucci, C. Berucci, A. M. Bragadireanu, M. Cargnelli, A. Clozza, L. De Paolis, S. Di Matteo, S. Donadi, A. D’Uffizi, J.-P. Egger, C. Guaraldo, M. Iliescu, T. Ishiwatari, M. Laubenstein, J. Marton, E. Milotti, A. Pichler, D. Pietreanu, K. Piscicchia, T. Ponta, E. Sbardella, A. Scordo, H. Shi, D. L. Sirghi, F. Sirghi, L. Sperandio, O. Vazquez Doce & J. Zmeskal - 2016 - Foundations of Physics 46 (3):263-268.
    We present the idea of searching for X-rays as a signature of the mechanism inducing the spontaneous collapse of the wave function. Such a signal is predicted by the continuous spontaneous localization theories, which are solving the “measurement problem” by modifying the Schrödinger equation. We will show some encouraging preliminary results and discuss future plans and strategy.
  47. The Measurement Problem Revisited.Shan Gao - unknown
    It has been realized that in order to solve the measurement problem, the physical state representing the measurement result is required to be also the physical state on which the mental state of an observer supervenes. This introduces an additional restriction on the solutions to the measurement problem. In this paper, I give a new formulation of the measurement problem which lays more stress on psychophysical connection, and analyze whether Everett's theory, Bohm's theory and dynamical collapse theories can satisfy the (...)
  48. Philosophy of Quantum Probability - An Empiricist Study of its Formalism and Logic.Ronnie Hermens - unknown
    The use of probability theory is widespread in our daily life as well as in scientific theories. In virtually all cases, calculations can be carried out within the framework of classical probability theory. A special exception is given by quantum mechanics, which gives rise to a new probability theory: quantum probability theory. This dissertation deals with the question of how this formalism can be understood from a philosophical and physical perspective. The dissertation is divided into three parts. In the first (...)
  49. The Consistent Histories Formalism and the Measurement Problem.Elias Okon & Daniel Sudarsky - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):217-222.
    In response to a recent rebuttal of Okon and Sudarsky presented in Griffiths, we defend the claim that the Consistent Histories formulation of quantum mechanics does not solve the measurement problem. In order to do so, we argue that satisfactory solutions to the problem must not only not contain anthropomorphic terms at the fundamental level, but also that applications of the formalism to concrete situations should not require any input not contained in the description of the situation at hand at (...)
  50. Assessing the Montevideo Interpretation of Quantum Mechanics.Jeremy Butterfield - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part A):75-85.
    This paper gives a philosophical assessment of the Montevideo interpretation of quantum theory, advocated by Gambini, Pullin and co-authors. This interpretation has the merit of linking its proposal about how to solve the measurement problem to the search for quantum gravity: namely by suggesting that quantum gravity makes for fundamental limitations on the accuracy of clocks, which imply a type of decoherence that “collapses the wave-packet”. I begin by sketching the topics of decoherence, and quantum clocks, on which the interpretation (...)
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