Results for 'Bohmian mechanics'

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  1. Quantum Theory: An Appraisal.Bohmian Mechanics - 1995 - Boston Studies in the Philosophy of Science 184.
  2. Bohmian mechanics without wave function ontology.Albert Solé - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):365-378.
    In this paper, I critically assess different interpretations of Bohmian mechanics that are not committed to an ontology based on the wave function being an actual physical object that inhabits configuration space. More specifically, my aim is to explore the connection between the denial of configuration space realism and another interpretive debate that is specific to Bohmian mechanics: the quantum potential versus guidance approaches. Whereas defenders of the quantum potential approach to the theory claim that (...) mechanics is better formulated as quasi-Newtonian, via the postulation of forces proportional to acceleration; advocates of the guidance approach defend the notion that the theory is essentially first-order and incorporates some concepts akin to those of Aristotelian physics. Here I analyze whether the desideratum of an interpretation of Bohmian mechanics that is both explanatorily adequate and not committed to configuration space realism favors one of these two approaches to the theory over the other. Contrary to some recent claims in the literature, I argue that the quasi-Newtonian approach based on the idea of a quantum potential does not come out the winner. (shrink)
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  3.  82
    Can Bohmian mechanics be made background independent?Antonio Vassallo - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):242-250.
    The paper presents an inquiry into the question regarding the compatibility of Bohmian mechanics, intended as a non-local theory of moving point-like particles, with background independence. This issue is worth being investigated because, if the Bohmian framework has to be of some help in developing new physics, it has to be compatible with the most well-established traits of modern physics, background independence being one of such traits. The paper highlights the fact that the notion of background independence (...)
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  4. Bohmian mechanics.Roderich Tumulka, Detlef Durr, Sheldon Goldstein & Nino Zanghi - 2009 - Compendium of Quantum Physics.
    Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics for experimental results as predicted by quantum mechanics. Bohmian mechanics thus provides an explanation of quantum mechanics. Moreover, the Bohmian trajectories are defined in a non-conspiratorial way by a few simple laws.
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  5. Bohmian mechanics.Sheldon Goldstein - 2008 - Stanford Encyclopedia of Philosophy.
    Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, (...)
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  6.  15
    Bohmian mechanics and quantum theory: an appraisal.James T. Cushing, Arthur Fine & Sheldon Goldstein - 1996 - Springer.
    We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David (...)
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  7.  29
    Bohmian Mechanics Revisited.E. Deotto & G. C. Ghirardi - 1998 - Foundations of Physics 28 (1):1-30.
    We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to quantum mechanics as Bohmian mechanics but which differ from the latter for what concerns the trajectories followed by the particles. Obviously, one has to impose on the hypothetical alternative theory precise physical requirements. We analyze various such constraints and we show step (...)
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  8.  60
    Bohmian mechanics.Nino Zanghi - unknown
    Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics for experimental results as predicted by quantum mechanics. Bohmian mechanics thus provides an explanation of quantum mechanics. Moreover, the Bohmian trajectories are defined in a non-conspiratorial way by a few simple laws.
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  9.  16
    Bohmian Mechanics is Not Deterministic.Klaas Landsman - 2022 - Foundations of Physics 52 (4):1-17.
    I argue that Bohmian mechanics cannot reasonably be claimed to be a deterministic theory. If one assumes the “quantum equilibrium distribution” provided by the wave function of the universe, Bohmian mechanics requires an external random oracle in order to describe the algorithmic randomness properties of typical outcome sequences of long runs of repeated identical experiments. This oracle lies beyond the scope of Bohmian mechanics, including the impossibility of explaining the randomness property in question from (...)
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  10. Bohmian Mechanics and Quantum Information.Sheldon Goldstein - 2010 - Foundations of Physics 40 (4):335-355.
    Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of quantum mechanics, Bohmian mechanics, is concerned, not with information but with the behavior of an objective microscopic reality given by particles and their positions. What I would like to do here is to examine whether, and to what extent, the importance of (...)
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  11.  51
    Bohmian Mechanics.Detlef Diirr - unknown
    Bohmian mechanics is a quantum theory without observers. This means that neither the act of observation nor the notion of observer play any role in defining the theory, the theory is not about observers and observation, and it explains all non relativistic quantum phenomena. The theory is about something primitive', the basic ontology, and the laws for that are given. Bohmian mechanics is a deterministic theory of point particles. Like Newtonian mechanics it is invariant under (...)
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  12. Quantum Entanglement, Bohmian Mechanics, and Humean Supervenience.Elizabeth Miller - 2014 - Australasian Journal of Philosophy 92 (3):567-583.
    David Lewis is a natural target for those who believe that findings in quantum physics threaten the tenability of traditional metaphysical reductionism. Such philosophers point to allegedly holistic entities they take both to be the subjects of some claims of quantum mechanics and to be incompatible with Lewisian metaphysics. According to one popular argument, the non-separability argument from quantum entanglement, any realist interpretation of quantum theory is straightforwardly inconsistent with the reductive conviction that the complete physical state of the (...)
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  13.  22
    Bohmian Mechanics: A Panacea for What Ails Quantum Mechanics, or a Different and Problematic Theory?Aristidis Arageorgis & John Earman - unknown
    The popular impression of Bohmian mechanics is that it is standard quantum mechanics with the addition of some extra gadgets---exact particle positions and a guiding equation for particle trajectories---the advantages being that the gadgets pave the way for a resolution of the measurement problem that eschews state vector reduction while restoring the determinism lost in standard quantum mechanics. In fact, the Bohmian mechanics departs in significant ways from standard quantum mechanics. By itself this (...)
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  14.  36
    Bohmian Mechanics: Realism and the “Box” Experiment.Chunling Yan - 2020 - Foundations of Science 26 (2):429-451.
    It is difficult to articulate how we should take a realist attitude towards Bohmian mechanics because there are many versions of it. This paper aims to clarify the realist commitments of Bohmian mechanics and how we can understand it from a general scientific realist perspective. I use the box experiment, a double-slit like experiment conducted by Cardone et al. :1–13, 2004; Int J Mod Phys B 20:1107–1121, 2006), as a working example to argue that a causal (...)
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  15. What is Bohmian Mechanics.Valia Allori & Nino Zanghi - 2004 - International Journal of Theoretical Physics 43:1743-1755.
    Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics and indicate how Bohmian mechanics solves these problems and clarifies the status and the role of of the quantum formalism.
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  16. Bohmian Mechanics and Quantum Theory: An Appraisal.James T. Cushing, Arthur Fine & Sheldon Goldstein - 1998 - British Journal for the Philosophy of Science 49 (2):332-337.
     
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  17.  2
    Bohmian Mechanics, Open Quantum Systems and Continuous Measurements.Antonio B. Nassar - 2017 - Cham: Imprint: Springer. Edited by Salvador Miret-Artés.
    This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and (...)
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  18.  3
    \em Bohmian Mechanics: The Physics and Mathematics of Quantum Theory.Detlef Dürr & Stefan Teufel - 2009 - Springer.
    Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a (...)
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  19. Bohmian Mechanics as a Practical Tool.Xabier Oianguren-Asua, Carlos F. Destefani, Matteo Villani, David K. Ferry & Xavier Oriols - 2024 - In Angelo Bassi, Sheldon Goldstein, Roderich Tumulka & Nino Zanghì (eds.), Physics and the Nature of Reality: Essays in Memory of Detlef Dürr. Springer. pp. 105-123.
    In this chapter, we will take a trip around several hot-spots where Bohmian mechanics and its capacity to describe the microscopic reality, even in the absence of measurements, can be harnessed as computational tools, in order to help in the prediction of phenomenologically accessible information (also useful for the followers of the Copenhagen theory). As a first example, we will see how a Stochastic Schrödinger Equation, when used to compute the reduced density matrix of a non-Markovian open quantum (...)
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  20.  20
    Preparation in Bohmian Mechanics.Carlo Rovelli - 2022 - Foundations of Physics 52 (3):1-6.
    According to Bohmian mechanics, we see the particle, not the pilot wave. But to make predictions we need to know the wave. How do we learn about the wave to make predictions, if we only see the particle? I show that the puzzle can be solved, but only thanks to decoherence.
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  21. The Ontology of Bohmian Mechanics.M. Esfeld, D. Lazarovici, Mario Hubert & D. Durr - 2014 - British Journal for the Philosophy of Science 65 (4):773-796.
    The paper points out that the modern formulation of Bohm’s quantum theory known as Bohmian mechanics is committed only to particles’ positions and a law of motion. We explain how this view can avoid the open questions that the traditional view faces according to which Bohm’s theory is committed to a wave-function that is a physical entity over and above the particles, although it is defined on configuration space instead of three-dimensional space. We then enquire into the status (...)
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  22.  30
    Bohmian Mechanics and Quantum Theory.Gregg Jaeger - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (1):105-108.
  23.  1
    Bohmian Mechanics as Cartesian Science.Michael Esfeld - 2024 - In Angelo Bassi, Sheldon Goldstein, Roderich Tumulka & Nino Zanghì (eds.), Physics and the Nature of Reality: Essays in Memory of Detlef Dürr. Springer. pp. 383-392.
    The paper shows how Bohmian mechanics fits into modern science as conceived by Descartes. The primitive ontology of particle positions only vindicates the Cartesian conception of matter as res extensa also in the domain of quantum physics. Finally, I briefly sketch out how Bohmian mechanics can also be construed as respecting the limits that Descartes set for modern science: there is no conflict between the ontology and dynamics of matter as set out in Bohmian (...) and a Cartesian stance that takes the mind to be irreducible to matter. (shrink)
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  24. Bohmian Mechanics and Its Ontological Commitments.James Cushing - 2019 - In Alberto Cordero (ed.), Philosophers Look at Quantum Mechanics. Springer Verlag.
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  25. 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 (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 (...)
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  26. Structuralist approaches to Bohmian mechanics.Lorenzo Lorenzetti - 2022 - Synthese 200 (1):1-15.
    Lam and Esfeld have argued that, within Bohmian mechanics, the wave function can be interpreted as a physical structure instantiated by the fundamental particles posited by the theory. Further, to characterize the nature of this structure, they appeal to the framework of Ontic Structural Realism, thereby proposing a structuralist interpretation of Bohmian mechanics. However, I shall point out that OSR denotes a family of distinct views, each of which maintains a different account about the relation between (...)
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  27.  24
    Compoundation Invariance and Bohmian Mechanics.Giulio Peruzzi & Alberto Rimini - 2000 - Foundations of Physics 30 (9):1445-1472.
    The property of fundamental mechanical theories which allows to treat compound objects as particles under suitable conditions is considered. It is argued that such a property, called compoundation invariance, is a nonreleasable property of any mechanical theory not declaring to which elementary constituents it applies. Compoundation invariance is discussed in the framework of Bohmian mechanics. It is found that standard Bohmian mechanics satisfies the requirement of compoundation invariance, with some reservation in the case of compound objects (...)
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  28. Bohmian mechanics and quantum equilibrium.Sheldon Goldstein, D. Dürr & N. Zanghì - manuscript
    in Stochastic Processes, Physics and Geometry II, edited by S. Albeverio, U. Cattaneo, D. Merlini (World Scientific, Singapore, 1995) pp. 221-232.
     
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  29.  50
    Probability in Relativistic Bohmian Mechanics of Particles and Strings.Hrvoje Nikolić - 2008 - Foundations of Physics 38 (9):869-881.
    Even though the Bohmian trajectories given by integral curves of the conserved Klein-Gordon current may involve motions backwards in time, the natural relativistic probability density of particle positions is well-defined. The Bohmian theory predicts subtle deviations from the statistical predictions of more conventional formulations of quantum theory, but it seems that no present experiment rules this theory out. The generalization to the case of many particles or strings is straightforward, provided that a preferred foliation of spacetime is given.
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  30.  46
    Bohmian Mechanics, the Quantum-Classical Correspondence and the Classical Limit: The Case of the Square Billiard. [REVIEW]A. Matzkin - 2009 - Foundations of Physics 39 (8):903-920.
    Square billiards are quantum systems complying with the dynamical quantum-classical correspondence. Hence an initially localized wavefunction launched along a classical periodic orbit evolves along that orbit, the spreading of the quantum amplitude being controlled by the spread of the corresponding classical statistical distribution. We investigate wavepacket dynamics and compute the corresponding de Broglie-Bohm trajectories in the quantum square billiard. We also determine the trajectories and statistical distribution dynamics for the equivalent classical billiard. Individual Bohmian trajectories follow the streamlines of (...)
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  31.  19
    Can the Ontology of Bohmian Mechanics Consists Only in Particles? The PBR Theorem Says No.Shan Gao - 2023 - Foundations of Physics 53 (6):1-21.
    The meaning of the wave function is an important unresolved issue in Bohmian mechanics. On the one hand, according to the nomological view, the wave function of the universe or the universal wave function is nomological, like a law of nature. On the other hand, the PBR theorem proves that the wave function in quantum mechanics or the effective wave function in Bohmian mechanics is ontic, representing the ontic state of a physical system in the (...)
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  32.  49
    Topological factors derived from Bohmian mechanics.Sheldon Goldstein - manuscript
    We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of Q. We employ wave functions on the universal covering space of Q. As a byproduct of our analysis, we obtain an explanation, within the framework of Bohmian mechanics, of the fact that the wave function of a system of identical particles is either symmetric or (...)
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  33. Entanglement Exchange And Bohmian Mechanics.Nick Huggett & Tiziana Vistarini - 2010 - Manuscrito 33 (1):223-242.
    This paper explains the phenomenon of `entanglement exchange' within the Bohmian approach to quantum mechanics. After explaining Bohmian mechanics and entanglement exchange, in which pairs of particles become entangled without ever interacting causally in the usual, unitary sense, our aim is to use this example, to illustrate how the `pilot wave' mediates non-local correlations. The discussion thus gives a useful new way to think about entanglement exchange, and clarifies the structure of Bohmian mechanics.
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  34.  2
    The Connection between Bohmian Mechanics and Many-Particle Quantum Hydrodynamics.Klaus Renziehausen & Ingo Barth - 2020 - Foundations of Physics 50 (8):772-798.
    Bohm developed the Bohmian mechanics, in which the Schrödinger equation is transformed into two differential equations: a continuity equation and an equation of motion similar to the Newtonian equation of motion. This transformation can be executed both for single-particle systems and for many-particle systems. Later, Kuzmenkov and Maksimov used basic quantum mechanics for the derivation of many-particle quantum hydrodynamics including one differential equation for the mass balance and two differential equations for the momentum balance, and we extended (...)
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  35.  3
    UnBorn: Probability in Bohmian Mechanics.Laura Ruetsche - 2023 - Philosophy of Physics 1 (1).
    Why are quantum probabilities encoded in measures corresponding to wave functions, rather than by a more general class of measures? Call this question WHY BORN? I argue that orthodox quantum mechanics has a compelling answer to WHY BORN? but Bohmian mechanics might not. I trace Bohmian difficulties with WHY BORN? to its antistructuralism, its denial of physical significance to the algebraic structure of quantum observables, and I propose other cases where Bohmian antistructuralism might have an (...)
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  36.  92
    On a Symmetry Argument for the Guidance Equation in Bohmian Mechanics.Bradford Skow - 2010 - International Studies in the Philosophy of Science 24 (4):393-410.
    Bohmian mechanics faces an underdetermination problem: when it comes to solving the measurement problem, alternatives to the Bohmian guidance equation work just as well as the official guidance equation. One way to argue that the guidance equation is superior to its rivals is to use a symmetry argument: of the candidate guidance equations, the official guidance equation is the simplest Galilean-invariant candidate. This symmetry argument---if it worked---would solve the underdetermination problem. But the argument does not work. It (...)
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  37.  71
    Bohmian Mechanics and the Quantum Revolution. [REVIEW]Sheldon Goldstein - 1996 - Synthese 107 (1):145 - 165.
    When I was young I was fascinated by the quantum revolution: the transition from classical definiteness and determinism to quantum indeterminacy and uncertainty, from classical laws that are indifferent, if not hostile, to the human presence, to quantum laws that fundamentally depend upon an observer for their very meaning. I was intrigued by the radical subjectivity, as expressed by Heisenberg’s assertion [3] that “The idea of an objective real world whose smallest parts exist objectively in the same sense as stones (...)
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  38.  20
    The Metaphysics of Bohmian Mechanics: A Comprehensive Guide to the Different Interpretations of Bohmian Ontology.Vera Matarese - 2023 - De Gruyter.
    The aim of this book is to provide a comprehensive guide to the metaphysics of Bohmian mechanics. Bohmian mechanics is a quantum theory that describes the motion of particles following trajectories that are determined by the quantum wave-function. The key question that the theory has to face relates to the ontological interpretation of the quantum wave-function. The main debate has mostly centered around two opposing views, wave-function realism on the one hand, and the nomological view on (...)
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  39.  3
    Situated observation in Bohmian mechanics.Jeffrey A. Barrett - 2021 - Studies in History and Philosophy of Science Part A 88 (C):345-357.
  40.  44
    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 (...)
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    A Nonstandard Formulation of Bohmian Mechanics.Jeffrey Barrett & Isaac Goldbring - forthcoming - British Journal for the Philosophy of Science.
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  42. Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?Nicolas Gisin - 2019 - Erkenntnis (6):1-13.
    It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, which (...)
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  43. On the Role of Density Matrices in Bohmian Mechanics.Detlef Dürr, Sheldon Goldstein, Roderich Tumulka & Nino Zanghí - 2005 - Foundations of Physics 35 (3):449-467.
    It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (“statistical mixture”) or a system that is entangled with another system (“reduced density matrix”). We point out another role, previously unnoticed in the literature, that a density matrix can play: it can be the “conditional density matrix,” conditional on the configuration of the environment. A precise definition can be given (...)
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  44. The emergence and interpretation of probability in Bohmian mechanics.Craig Callender - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):351-370.
    A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. (...)
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  45.  27
    The emergence and interpretation of probability in Bohmian mechanics.Craig Callender - 2006 - Studies in History and Philosophy of Modern Physics 38 (2):351-370.
    A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. (...)
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  46.  33
    The relationship between chemistry and physics from the perspective of Bohmian mechanics.Juan Camilo Martínez González, Olimpia Lombardi & Sebastian Fortin - 2017 - Foundations of Chemistry 19 (1):43-59.
    Although during the last decades the philosophy of chemistry has greatly extended its thematic scope, the main difficulties appear in the attempt to link the chemical description of atoms and molecules and the description supplied by quantum mechanics. The aim of this paper is to analyze how the difficulties that threaten the continuous conceptual link between molecular chemistry and quantum mechanics can be overcome or, at least, moderated from the perspective of BM. With this purpose, in “The quantum-mechanical (...)
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  47.  52
    Formalism, ontology and methodology in Bohmian mechanics.Darrin W. Belousek - 2003 - Foundations of Science 8 (2):109-172.
    The relationship between mathematical formalism, physical interpretation and epistemological appraisal in the practice of physical theorizing is considered in the context of Bohmian mechanics. After laying outthe formal mathematical postulates of thetheory and recovering the historical roots ofthe present debate over the meaning of Bohmianmechanics from the early debate over themeaning of Schrödinger's wave mechanics,several contemporary interpretations of Bohmianmechanics in the literature are discussed andcritiqued with respect to the aim of causalexplanation and an alternative interpretationis proposed. Throughout, (...)
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  48.  23
    Weak Measurements from the Point of View of Bohmian Mechanics.C. R. Leavens - 2005 - Foundations of Physics 35 (3):469-491.
    The theory of weak measurements developed by Aharonov and coworkers has been applied by them and others to several interesting problems in which the system of interest is both pre- and post-selected. When the probability of successful post-selection is very small the prediction for the weak value of the measured quantity is often “bizarre” and sometimes controversial, lying outside the range of possibility for a classical system or for a quantum system in the absence of post-selection (e.g. negative kinetic energies (...)
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  49. Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?Nicolas Gisin - 2019 - Erkenntnis 86 (6):1469-1481.
    It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, which (...)
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  50.  69
    On the uniqueness of quantum equilibrium in Bohmian mechanics.Sheldon Goldstein & W. Struyve - manuscript
    In Bohmian mechanics the distribution |ψ|2 is regarded as the equilibrium distribution. We consider its uniqueness, finding that it is the unique equivariant distribution that is also a local functional of the wave function ψ.
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