About this topic
Summary This category concerns approaches which modify quantum mechanics by adding a real dynamical process of wavefunction collapse. Such theories are typically empirically testable, since they agree with the predictions of quantum mechanics on the aggregrate behaviour of large systems but give different predictions on small enough scales. A major challenge for collapse theories is their reconcilation with special relativity.
Key works Ghirardi et al 1986 is the paper which launched the dynamical-collapse program. Tumulka 2006 provides a dynamical collapse theory based on 'flashes' which is compatible with special relativity.
Introductions Ghirardi & Pearle 1990
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92 found
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  1. The Foundations of Quantum Mechanics and the Approach to Thermodynamic Equilibrium.David Z. Albert - 1994 - British Journal for the Philosophy of Science 45 (2):669-677.
    It is argued that certain recent advances in the construction of a theory of the collapses of Quantum Mechanical wave functions suggest the possibility of new and improved foundations for statistical mechanics, foundations in which epistemic considerations play no role.
  2. On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory: Dedicated to Giancarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & and Nino Zanghì - 2008 - British Journal for the Philosophy of Science 59 (3):353-389.
    Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about ‘matter’ moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of (...)
  3. Primitive Ontology and the Classical World.Valia Allori - 2016 - In R. Kastner, J. Jeknic-Dugic & G. Jaroszkiewicz (eds.), Quantum Structural Studies: Classical Emergence from the Quantum Level. World Scientific. pp. 175-199.
    In this paper I present the common structure of quantum theories with a primitive ontology, and discuss in what sense the classical world emerges from quantum theories as understood in this framework. In addition, I argue that the primitive ontology approach is better at answering this question than the rival wave function ontology approach or any other approach in which the classical world is nonreductively ‘emergent:’ even if the classical limit within this framework needs to be fully developed, the difficulties (...)
  4. Primitive Ontology in a Nutshell.Valia Allori - 2015 - International Journal of Quantum Foundations 1 (2):107-122.
    The aim of this paper is to summarize a particular approach of doing metaphysics through physics - the primitive ontology approach. The idea is that any fundamental physical theory has a well-defined architecture, to the foundation of which there is the primitive ontology, which represents matter. According to the framework provided by this approach when applied to quantum mechanics, the wave function is not suitable to represent matter. Rather, the wave function has a nomological character, given that its role in (...)
  5. On the Metaphysics of Quantum Mechanics.Valia Allori - 2013 - In Soazig Lebihan (ed.), Precis de la Philosophie de la Physique. Vuibert.
    What is quantum mechanics about? The most natural way to interpret quantum mechanics realistically as a theory about the world might seem to be what is called wave function ontology: the view according to which the wave function mathematically represents in a complete way fundamentally all there is in the world. Erwin Schroedinger was one of the first proponents of such a view, but he dismissed it after he realized it led to macroscopic superpositions (if the wave function evolves in (...)
  6. Primitive Ontology and the Structure of Fundamental Physical Theories.Valia Allori - 2013 - In Alyssa Ney & David Z. Albert (eds.), The Wave Function: Essays in the Metaphysics of Quantum Mechanics. Oxford University Press.
    For a long time it was believed that it was impossible to be realist about quantum mechanics. It took quite a while for the researchers in the foundations of physics, beginning with John Stuart Bell [Bell 1987], to convince others that such an alleged impossibility had no foundation. Nowadays there are several quantum theories that can be interpreted realistically, among which Bohmian mechanics, the GRW theory, and the many-worlds theory. The debate, though, is far from being over: in what respect (...)
  7. La storia del gatto che era sia vivo che morto.Valia Allori - 2009 - In Enrico Giannetto (ed.), Da Archimede a Majorana: la fisica nel suo divenire. Guaraldi. pp. 273-283.
    Questa è la breve storia , forse un poco romanzata, del gatto che, se non forse il più citato, è di sicuro il più bistrattato della storia della fisica e della filosofia: il gatto di Schrödinger.
  8. Fundamental Physical Theories: Mathematical Structures Grounded on a Primitive Ontology.Valia Allori - 2007 - Dissertation, Rutgers
    In my dissertation I analyze the structure of fundamental physical theories. I start with an analysis of what an adequate primitive ontology is, discussing the measurement problem in quantum mechanics and theirs solutions. It is commonly said that these theories have little in common. I argue instead that the moral of the measurement problem is that the wave function cannot represent physical objects and a common structure between these solutions can be recognized: each of them is about a clear three-dimensional (...)
  9. On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory: Dedicated to GianCarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi - 2008 - British Journal for the Philosophy of Science 59 (3):353 - 389.
    Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about 'matter' moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of (...)
  10. On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory Dedicated to GianCarlo Ghirardi on the Occasion of His 70th Birthday.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghì - 2008 - British Journal for the Philosophy of Science 59 (3):353-389.
    Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about ‘matter’ moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of space-time points. The (...)
  11. The Quantum Measurement Problem and the Possible Role of the Gravitational Field.J. Anandan - 1999 - Foundations of Physics 29 (3):333-348.
    The quantum measurement problem and various unsuccessful attempts to resolve it are reviewed. A suggestion by Diosi and Penrose for the half-life of the quantum superposition of two Newtonian gravitational fields is generalized to an arbitrary quantum superposition of relativistic, but weak, gravitational fields. The nature of the “collapse” process of the wave function is examined.
  12. Collapse Theories as Beable Theories.Guido Bacciagaluppi - 2010 - Manuscrito 33 (1):19-54.
    I discuss the interpretation of spontaneous collapse theories, with particular reference to Bell's suggestion that the stochastic jumps in the evolution of the wave function should be considered as local beables of the theory. I develop this analogy in some detail for the case of non-relativistic GRW-type theories, using a generalisation of Bell's notion of beables to POV measures. In the context of CSL-type theories, this strategy appears to fail, and I discuss instead Ghirardi and co-workers' mass-density interpretation and its (...)
  13. Relativistic State Reduction Dynamics.Daniel J. Bedingham - 2011 - Foundations of Physics 41 (4):686-704.
    A mechanism describing state reduction dynamics in relativistic quantum field theory is outlined. The mechanism involves nonlinear stochastic modifications to the standard description of unitary state evolution and the introduction of a relativistic field in which a quantized degree of freedom is associated to each point in spacetime. The purpose of this field is to mediate in the interaction between classical stochastic influences and conventional quantum fields. The equations of motion are Lorentz covariant, frame independent, and do not result in (...)
  14. Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy.J. S. Bell - 2004 - Cambridge University Press.
    This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding of (...)
  15. Six Possible Worlds of Quantum Mechanics.J. S. Bell - 1992 - Foundations of Physics 22 (10):1201-1215.
  16. 6 Possible Worlds of Quantum-Mechanics (Reprinted From Possible Worlds in Humanities Arts and Sciences, Pg 359-373, 1989). [REVIEW]Js Bell - 1992 - Foundations of Physics 22 (10):1201-1215.
  17. Book Reviews. [REVIEW]Gordon Belot - 1997 - International Studies in the Philosophy of Science 11 (3):305-313.
  18. Quantum Mechanics Between Ontology and Epistemology.Florian J. Boge - forthcoming - Springer (European Studies in Philosophy of Science).
    This book explores the prospects of rivaling ontological and epistemic interpretations of quantum mechanics (QM). It concludes with a suggestion for how to interpret QM from an epistemological point of view and with a Kantian touch. It thus refines, extends, and combines existing approaches in a similar direction. -/- The author first looks at current, hotly debated ontological interpretations. These include hidden variables-approaches, Bohmian mechanics, collapse interpretations, and the many worlds interpretation. He demonstrates why none of these ontological interpretations can (...)
  19. Mathematical Quantum Theory I: Random Ultrafilters as Hidden Variables.William Boos - 1996 - Synthese 107 (1):83 - 143.
    The basic purpose of this essay, the first of an intended pair, is to interpret standard von Neumann quantum theory in a framework of iterated measure algebraic truth for mathematical (and thus mathematical-physical) assertions — a framework, that is, in which the truth-values for such assertions are elements of iterated boolean measure-algebras (cf. Sections 2.2.9, 5.2.1–5.2.6 and 5.3 below).The essay itself employs constructions of Takeuti's boolean-valued analysis (whose origins lay in work of Scott, Solovay, Krauss and others) to provide a (...)
  20. Losing Your Marbles in Wavefunction Collapse Theories.Rob Clifton & Bradley Monton - 1999 - British Journal for the Philosophy of Science 50 (4):697 - 717.
    Peter Lewis ([1997]) has recently argued that the wavefunction collapse theory of GRW (Ghirardi, Rimini and Weber [1986]) can only solve the problem of wavefunction tails at the expense of predicting that arithmetic does not apply to ordinary macroscopic objects. More specifically, Lewis argues that the GRW theory must violate the enumeration principle: that 'if marble 1 is in the box and marble 2 is in the box and so on through marble n, then all n marbles are in the (...)
  21. Wavefunction Collapse and Random Walk.Brian Collett & Philip Pearle - 2003 - Foundations of Physics 33 (10):1495-1541.
    Wavefunction collapse models modify Schrödinger's equation so that it describes the rapid evolution of a superposition of macroscopically distinguishable states to one of them. This provides a phenomenological basis for a physical resolution to the so-called “measurement problem.” Such models have experimentally testable differences from standard quantum theory. The most well developed such model at present is the Continuous Spontaneous Localization (CSL) model in which a universal fluctuating classical field interacts with particles to cause collapse. One “side effect” of this (...)
  22. Constraint on Collapse Models by Limit on Spontaneous X-Ray Emission in Ge.Brian Collett, Philip Pearle, Frank Avignone & Shmuel Nussinov - 1995 - Foundations of Physics 25 (10):1399-1412.
    The continuous spontaneous localization (CSL) model modifies Schrödinger's equation so that the collapse of the state vector is described as a physical process (a special interaction of particles with a universal fluctuating field). A consequence of the model is that an electron in an atom should occasionally get “spontaneously” knocked out of the atom. The CSL ionization rate for the 1s electrons in the Ge atom is calculated and compared with an experimental upper limit for the rate of “spontaneously” generated (...)
  23. Review Of: Christopher G. Timpson, Quantum Information Theory and the Foundations of Quantum Mechanics. [REVIEW]Michael E. Cuffaro - 2014 - Philosophy of Science 81 (4):681-684,.
  24. Laws of Nature and the Reality of the Wave Function.Mauro Dorato - 2015 - Synthese 192 (10):3179-3201.
    In this paper I review three different positions on the wave function, namely: nomological realism, dispositionalism, and configuration space realism by regarding as essential their capacity to account for the world of our experience. I conclude that the first two positions are committed to regard the wave function as an abstract entity. The third position will be shown to be a merely speculative attempt to derive a primitive ontology from a reified mathematical space. Without entering any discussion about nominalism, I (...)
  25. Events and the Ontology of Quantum Mechanics.Mauro Dorato - 2015 - Topoi 34 (2):369-378.
    In the first part of the paper I argue that an ontology of events is precise, flexible and general enough so as to cover the three main alternative formulations of quantum mechanics as well as theories advocating an antirealistic view of the wave function. Since these formulations advocate a primitive ontology of entities living in four-dimensional spacetime, they are good candidates to connect that quantum image with the manifest image of the world. However, to the extent that some form of (...)
  26. Quantum Mechanics and Relational Realism.Michael Epperson - 2009 - Process Studies 38 (2):340-367.
    By the relational realist interpretation of wave function collapse, the quantum mechanical actualization of potentia is defined as a decoherence-driven process by which each actualization (in “orthodox” terms, each measurement outcome) is conditioned both by physical and logical relations with the actualities conventionally demarked as “environmental” or external to that particular outcome. But by the relational realist interpretation, the actualization-in-process is understood as internally related to these “enironmental” data per the formalism of quantum decoherence. The concept of “actualization via wave (...)
  27. Proposed Experimental Test of Wave Packet Reduction and the Uncertainty Principle.E. E. Fitchard - 1979 - Foundations of Physics 9 (7-8):525-535.
    A practical experiment using coincidence techniques is suggested to test the validity of the following concepts:(1) wave packet reduction and(2) the measurement-uncertainty principle for position and momentum. The suggested experiment uses the time-of-flight method to determine an electron's momentum and a coincident photon, emitted from a system excited by the electron, to determine its initial position. It is shown that this method does constitute a simultaneous measurement of position and momentum for a single system. Also, it is pointed out that (...)
  28. Spontaneous Localizations of the Wave Function and Classical Behavior.Andor Frenkel - 1990 - Foundations of Physics 20 (2):159-188.
    We investigate and develop further two models, the GRW model and the K model, in which the Schrödinger evolution of the wave function is spontaneously and repeatedly interrupted by random, approximate localizations, also called “self-reductions” below. In these models the center of mass of a macroscopic solid body is well localized even if one disregards the interactions with the environment. The motion of the body shows a small departure from the classical motion. We discuss the prospects and the difficulties of (...)
  29. On the Property Structure of Realist Collapse Interpretations of Quantum Mechanics and the so-Called "Counting Anomaly".Roman Frigg - 2003 - International Studies in the Philosophy of Science 17 (1):43 – 57.
    The aim of this article is twofold. Recently, Lewis has presented an argument, now known as the "counting anomaly", that the spontaneous localization approach to quantum mechanics, suggested by Ghirardi, Rimini, and Weber, implies that arithmetic does not apply to ordinary macroscopic objects. I will take this argument as the starting point for a discussion of the property structure of realist collapse interpretations of quantum mechanics in general. At the end of this I present a proof of the fact that (...)
  30. Probability in GRW Theory.Roman Frigg & Carl Hoefer - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):371-389.
    GRW Theory postulates a stochastic mechanism assuring that every so often the wave function of a quantum system is `hit', which leaves it in a localised state. How are we to interpret the probabilities built into this mechanism? GRW theory is a firmly realist proposal and it is therefore clear that these probabilities are objective probabilities (i.e. chances). A discussion of the major theories of chance leads us to the conclusion that GRW probabilities can be understood only as either single (...)
  31. A Model of Wavefunction Collapse in Discrete Space-Time.Shan Gao - 2006 - International Journal of Theoretical Physics 45 (10):1965-1979.
    We give a new argument supporting a gravitational role in quantum collapse. It is demonstrated that the discreteness of space-time, which results from the proper combination of quantum theory and general relativity, may inevitably result in the dynamical collapse of thewave function. Moreover, the minimum size of discrete space-time yields a plausible collapse criterion consistent with experiments. By assuming that the source to collapse the wave function is the inherent random motion of particles described by the wave function, we further (...)
  32. Interneuronal Macroscopic Quantum Coherence in the Brain Cortex! The Role of the Intrasynaptic Adhesive Proteins Beta-Neurexin and Neuroligin-.Danko Georgiev - unknown
    There are many blank areas in understanding the brain dynamics and especially how it gives rise to consciousness. Quantum mechanics is believed to be capable of explaining the enigma of conscious experience, however till now there is not good enough model considering both the data from clinical neurology and having some explanatory power! In this paper is presented a novel model in defence of macroscopic quantum events within and between neural cells. The beta-neurexin-neuroligin-1 link is claimed to be not just (...)
  33. Describing the Macroscopic World: Closing the Circle Within the Dynamical Reduction Program. [REVIEW]G. C. Ghirardi, R. Grassi & F. Benatti - 1995 - Foundations of Physics 25 (1):5-38.
    With reference to recently proposed theoretical models accounting for reduction in terms of a unified dynamics governing all physical processes, we analyze the problem of working out a worldview accommodating our knowledge about natural phenomena. We stress the relevant conceptual differences between the considered models and standard quantum mechanics. In spite of the fact that both theories describe systems within a genuine Hilbert space framework, the peculiar features of the spontaneous reduction models limit drastically the states which are dynamically stable. (...)
  34. The Puzzling Entanglement of Schrödinger's Wave Function.G. C. Ghirardi, A. Rimini & T. Weber - 1988 - Foundations of Physics 18 (1):1-27.
    A brief review of the conceptual difficulties met by the quantum formalism is presented. The main attempts to overcome these difficulties are considered and their limitations are pointed out. A recent proposal based on the assumption of the occurrence of a specific type of wave function collapse is discussed and its consequences for the above-mentioned problems are analyzed.
  35. Quantum Dynamical Reduction and Reality: Replacing Probability Densities with Densities in Real Space. [REVIEW]Giancarlo Ghirardi - 1996 - Erkenntnis 45 (2-3):349 - 365.
    Consideration is given to recent attempts to solve the objectification problem of quantum mechanics by considering nonlinear and stochastic modifications of Schrödinger's evolution equation. Such theories agree with all predictions of standard quantum mechanics concerning microsystems but forbid the occurrence of superpositions of macroscopically different states. It is shown that the appropriate interpretation for such theories is obtained by replacing the probability densities of standard quantum mechanics with mass densities in real space. Criteria allowing a precise characterization of the idea (...)
  36. Dynamical Reduction Theories: Changing Quantum Theory so the Statevector Represents Reality.GianCarlo Ghirardi & Philip Pearle - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:19 - 33.
    The propositions, that what we see around us is real and that reality should be represented by the statevector, conflict with quantum theory. In quantum theory, the statevector can readily become a sum of states of comparable norm, each state representing a different reality. In this paper we present the Continuous Spontaneous Localization (CSL) theory, in which a modified Schrodinger equation, while scarcely affecting the dynamics of a microscopic system, rapidly "reduces" the statevector of a macroscopic system to a state (...)
  37. Unified Dynamics for Microscopic and Macroscopic Systems.GianCarlo Ghirardi, Alberto Rimini & Tullio Weber - 1986 - Physical Review D 34 (D):470–491.
  38. The Quantum Formalism and the Grw Formalism.Sheldon Goldstein - unknown
    The Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse is known to provide a quantum theory without observers, in fact two different ones by using either the matter density ontology (GRWm) or the flash ontology (GRWf). Both theories are known to make predictions different from those of quantum mechanics, but the difference is so small that no decisive experiment can as yet be performed. While some testable deviations from quantum mechanics have long been known, we provide here something that has (...)
  39. Does Protective Measurement Tell Us Anything About Quantum Reality?Amit Hagar - manuscript
    An analysis of the two routes through which one may disentangle a quantum system from a measuring apparatus, hence protect the state vector of a single quantum system from being disturbed by the measurement, reveals several loopholes in the argument from protective measurement to the reality of the state vector of a single quantum system.
  40. Veiled Realism? Review of B d'Espagnat's On Physics and Philosophy. [REVIEW]Amit Hagar - 2012 - Physics in Perspective (x).
  41. A Conservative Solution to the Stochastic Dynamical Reduction Problem.T. Halabi - 2013 - Foundations of Physics 43 (10):1252-1256.
    Stochastic dynamical reduction for the case of spin-z measurement of a spin-1/2 particle describes a random walk on the spin-z axis. The measurement’s result depends on which of the two points: spin-z=±ħ/2 is reached first. Born’s rule is recovered as long as the expected step size in spin-z is independent of proximity to endpoints. Here, we address the questions raised by this description: (1) When is collapse triggered, and what triggers it? (2) Why is the expected step size in spin-z (...)
  42. Wave-Packet Reduction as a Medium of Communication.Joseph Hall, Christopher Kim, Brien McElroy & Abner Shimony - 1977 - Foundations of Physics 7 (9-10):759-767.
    Using an apparatus in which two scalers register decays from a radioactive source, an observer located near one of the scalers attempted to convey a message to an observer located near the other one by choosing to look or to refrain from looking at his scaler. The results indicate that no message was conveyed. Doubt is thereby thrown upon the hypothesis that the reduction of the wave packet is due to the interaction of the physical apparatus with the psyche of (...)
  43. Remarks on the Direction of Time in Quantum Mechanics.Meir Hemmo - 2002 - Philosophy of Science 70 (5):1458-1471.
    I argue that in the many worlds interpretation of quantum mechanics time has no fundamental direction. I further discuss a way to recover thermodynamics in this interpretation using decoherence theory (Zurek and Paz 1994). Albert's proposal to recover thermodynamics from the collapse theory of Ghirardi et al. (1986) is also considered.
  44. Quantum Decoherence and the Approach to Equilibrium.Meir Hemmo & Orly Shenker - 2001 - Philosophy of Science 70 (2):330-358.
    We discuss a recent proposal by Albert (1994a; 1994b; 2000, ch. 7) to recover thermodynamics on a purely dynamical basis, using the quantum theory of the collapse of the wave function by Ghirardi, Rimini, and Weber (1986). We propose an alternative way to explain thermodynamics within no-collapse interpretations of quantum mechanics. Our approach relies on the standard quantum mechanical models of environmental decoherence of open systems (e.g., Joos and Zeh 1985; Zurek and Paz 1994). This paper presents the two approaches (...)
  45. Interpreting Quantum Mechanics. A Realist View in Schrödinger's Vein.Lars-Göran Johansson - 2007 - Ashgate.
    Presenting a realistic interpretation of quantum mechanics and, in particular, a realistic view of quantum waves, this book defends, with one exception, ...
  46. Decoherence in Unorthodox Formulations of Quantum Mechanics.Vassilios Karakostas & Michael Dickson - 1995 - Synthese 102 (1):61 - 97.
    The conceptual structure of orthodox quantum mechanics has not provided a fully satisfactory and coherent description of natural phenomena. With particular attention to the measurement problem, we review and investigate two unorthodox formulations. First, there is the model advanced by GRWP, a stochastic modification of the standard Schrödinger dynamics admitting statevector reduction as a real physical process. Second, there is the ontological interpretation of Bohm, a causal reformulation of the usual theory admitting no collapse of the statevector. Within these two (...)
  47. Coordinate Formalism on Abstract Hilbert Space: Kinematics of a Quantum Measurement. [REVIEW]Alexey Kryukov - 2002 - Foundations of Physics 33 (3):407-443.
    Coordinate form of tensor algebra on an abstract (infinite-dimensional) Hilbert space is presented. The developed formalism permits one to naturally include the improper states in the apparatus of quantum theory. In the formalism the observables are represented by the self-adjoint extensions of Hermitian operators. The unitary operators become linear isometries. The unitary evolution and the non-unitary collapse processes are interpreted as isometric functional transformations. Several experiments are analyzed in the new context.
  48. Empty Waves in Bohmian Quantum Mechanics.Peter J. Lewis - 2007 - British Journal for the Philosophy of Science 58 (4):787 - 803.
    There is a recurring line of argument in the literature to the effect that Bohm's theory fails to solve the measurement problem. I show that this argument fails in all its variants. Hence Bohm's theory, whatever its drawbacks, at least succeeds in solving the measurement problem. I briefly discuss a similar argument that has been raised against the GRW theory.
  49. Four Strategies for Dealing with the Counting Anomaly in Spontaneous Collapse Theories of Quantum Mechanics.Peter J. Lewis - 2003 - International Studies in the Philosophy of Science 17 (2):137 – 142.
    A few years ago, I argued that according to spontaneous collapse theories of quantum mechanics, arithmetic applies to macroscopic objects only as an approximation. Several authors have written articles defending spontaneous collapse theories against this charge, including Bassi and Ghirardi, Clifton and Monton, and now Frigg. The arguments of these authors are all different and all ingenious, but in the end I think that none of them succeeds, for reasons I elaborate here. I suggest a fourth line of response, based (...)
  50. Quantum Mechanics, Orthogonality, and Counting.Peter J. Lewis - 1997 - British Journal for the Philosophy of Science 48 (3):313-328.
    In quantum mechanics it is usually assumed that mutually exclusives states of affairs must be represented by orthogonal vectors. Recent attempts to solve the measurement problem, most notably the GRW theory, require the relaxation of this assumption. It is shown that a consequence of relaxing this assumption is that arithmatic does not apply to ordinary macroscopic objects. It is argued that such a radical move is unwarranted given the current state of understanding of the foundations of quantum mechanics.
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