Search results for 'wave function' (try it on Scholar)

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  1.  26
    Alyssa Ney, Finding the World in the Wave Function: Some Strategies for Solving the Macro-Object Problem.
    We look at some strategies for solving the macro-object problem for wave function realism. This is the problem of finding an account of the existence of macroscopic objects assuming a metaphysics in which objects in space-time are not fundamental; rather what is fundamental is the quantum wave function, a field characterized by an assignment of values to points in a much different kind of space, one adequate to realizing the full range of possible quantum pure states. (...)
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  2.  97
    Albert Sol? (2013). Bohmian Mechanics Without Wave Function Ontology. Studies in History and Philosophy of Science Part B 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 Bohmian mechanics is (...)
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  3.  67
    Mauro Dorato (2015). Laws of Nature and the Reality of the Wave Function. 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 (...)
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  4.  40
    Alyssa Ney (2015). Fundamental Physical Ontologies and the Constraint of Empirical Coherence: A Defense of Wave Function Realism. Synthese 192 (10):3105-3124.
    This paper defends wave function realism against the charge that the view is empirically incoherent because our evidence for quantum theory involves facts about objects in three-dimensional space or space-time . It also criticizes previous attempts to defend wave function realism against this charge by claiming that the wave function is capable of grounding local beables as elements of a derivative ontology.
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  5. Alyssa Ney (2013). Ontological Reduction and the Wave Function Ontology. In Alyssa Ney & David Z. Albert (eds.), The Wave Function: Essays on the Metaphysics of Quantum Mechanics. Oxford University Press 168-183.
     
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  6.  13
    Travis Norsen, Damiano Marian & Xavier Oriols (2015). Can the Wave Function in Configuration Space Be Replaced by Single-Particle Wave Functions in Physical Space? Synthese 192 (10):3125-3151.
    The ontology of Bohmian mechanics includes both the universal wave function and particles. Proposals for understanding the physical significance of the wave function in this theory have included the idea of regarding it as a physically-real field in its 3N-dimensional space, as well as the idea of regarding it as a law of nature. Here we introduce and explore a third possibility in which the configuration space wave function is simply eliminated—replaced by a set (...)
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  7.  43
    Mauro Dorato & Federico Laudisa (forthcoming). Realism and Instrumentalism About the Wave Function. How Should We Choose? In Shao Gan (ed.), Protective Measurements and Quantum Reality: Toward a New Understanding of Quantum Mechanics. CUP
    The main claim of the paper is that one can be ‘realist’ (in some sense) about quantum mechanics without requiring any form of realism about the wave function. We begin by discussing various forms of realism about the wave function, namely Albert’s configuration-space realism, Dürr Zanghi and Goldstein’s nomological realism about Ψ, Esfeld’s dispositional reading of Ψ Pusey Barrett and Rudolph’s realism about the quantum state. By discussing the articulation of these four positions, and their interrelation, (...)
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  8. Shan Gao, The Wave Function and Its Evolution.
    The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due (...)
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  9.  61
    Shan Gao, Comment on "How to Protect the Interpretation of the Wave Function Against Protective Measurements" by Jos Uffink.
    It is shown that Uffink's attempt to protect the interpretation of the wave function against protective measurements fails due to several errors in his arguments.
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  10. Shan Gao, Protective Measurement and the Meaning of the Wave Function.
    This article analyzes the implications of protective measurement for the meaning of the wave function. According to protective measurement, a charged quantum system has mass and charge density proportional to the modulus square of its wave function. It is shown that the mass and charge density is not real but effective, formed by the ergodic motion of a localized particle with the total mass and charge of the system. Moreover, it is argued that the ergodic motion (...)
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  11. Shan Gao, Meaning of the Wave Function.
    We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion (...)
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  12. Shan Gao, Derivation of the Meaning of the Wave Function.
    We show that the physical meaning of the wave function can be derived based on the established parts of quantum mechanics. It turns out that the wave function represents the state of random discontinuous motion of particles, and its modulus square determines the probability density of the particles appearing in certain positions in space.
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  13.  43
    Shan Gao, The Wave Function and Particle Ontology.
    In quantum mechanics, the wave function of a N-body system is a mathematical function defined in a 3N-dimensional configuration space. We argue that wave function realism implies particle ontology when assuming: (1) the wave function of a N-body system describes N physical entities; (2) each triple of the 3N coordinates of a point in configuration space that relates to one physical entity represents a point in ordinary three-dimensional space. Moreover, the motion of particles (...)
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  14.  22
    Lajos Diósi (2014). Gravity-Related Wave Function Collapse. Foundations of Physics 44 (5):483-491.
    The gravity-related model of spontaneous wave function collapse, a longtime hypothesis, damps the massive Schrödinger Cat states in quantum theory. We extend the hypothesis and assume that spontaneous wave function collapses are responsible for the emergence of Newton interaction. Superfluid helium would then show significant and testable gravitational anomalies.
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  15.  9
    Roland Omnès (2011). Decoherence and Wave Function Collapse. Foundations of Physics 41 (12):1857-1880.
    The possibility of consistency between the basic quantum principles of quantum mechanics and wave function collapse is reexamined. A specific interpretation of environment is proposed for this aim and is applied to decoherence. When the organization of a measuring apparatus is taken into account, this approach leads also to an interpretation of wave function collapse, which would result in principle from the same interactions with environment as decoherence. This proposal is shown consistent with the non-separable character (...)
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  16. Alyssa Ney & David Z. Albert (eds.) (2013). The Wave Function: Essays in the Metaphysics of Quantum Mechanics. Oxford University Press.
    This is a new volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics?
     
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  17.  74
    Bradley Monton (2002). Wave Function Ontology. Synthese 130 (2):265 - 277.
    I argue that the wave function ontology for quantum mechanics is an undesirable ontology. This ontology holds that the fundamental space in which entities evolve is not three-dimensional, but instead 3N-dimensional, where N is the number of particles standardly thought to exist in three-dimensional space. I show that the state of three-dimensional objects does not supervene on the state of objects in 3N-dimensional space. I also show that the only way to guarantee the existence of the appropriate mental (...)
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  18.  76
    G. C. Ghirardi, A. Rimini & T. Weber (1988). The Puzzling Entanglement of Schrödinger's Wave Function. 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.
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  19.  6
    David Albert & Alyssa Ney (eds.) (2013). The Wave Function: Essays in the Metaphysics of Quantum Mechanics. Oxford University Press Usa.
    This is a volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? Does quantum mechanics support the existence of any other fundamental entities, e.g. particles? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics? What is the relationship between the fundamental ontology of quantum mechanics and ordinary, macroscopic objects (...)
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  20.  7
    Shan Gao, On the Reality and Meaning of the Wave Function.
    In this article, we give a clearer argument for the reality of the wave function in terms of protective measurements, which does not depend on nontrivial assumptions and also overcomes existing objections. Moreover, based on an analysis of the mass and charge properties of a quantum system, we propose a new ontological interpretation of the wave function. According to this interpretation, the wave function of an N-body system represents the state of (...)
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  21.  5
    Shan Gao, A New Ontological Interpretation of the Wave Function.
    In this paper, we propose an ontological interpretation of the wave function in terms of random discontinuous motion of particles. According to this interpretation, the wave function of an N-body quantum system describes the state of random discontinuous motion of N particles, and in particular, the modulus squared of the wave function gives the probability density that the particles appear in every possible group of positions in space. We present three arguments supporting this new (...)
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  22.  6
    Shan Gao, An Ontological Interpretation of the Wave Function.
    It is argued that, based on a new analysis of two-body systems, wave function realism seems to imply an unique ontological interpretation of the wave function, according to which the wave function represents the state of random discontinuous motion of particles, and in particular, its modulus square gives the probability density of the particles appearing in certain positions in space.
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  23.  32
    Mayeul Arminjon (2008). Dirac-Type Equations in a Gravitational Field, with Vector Wave Function. Foundations of Physics 38 (11):1020-1045.
    An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of (...)
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  24.  22
    S. Nussinov (1998). Realistic Experiments for Measuring the Wave Function of a Single Particle. Foundations of Physics 28 (6):865-880.
    We suggest scattering experiments which implement the concept of “protective measurements” allowing the measurement of the complete wave function even when only one quantum system (rather than an ensemble) is available. Such scattering experiments require massive, slow, projectiles with kinetic energies lower than the first excitation of the system in question. The results of such experiments can have a (probabilistic) distribution (as is the case when the Born approximation for the scattering is valid) or be deterministic (in a (...)
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  25.  24
    K. Lewin (2009). The Wave Function Collapse as an Effect of Field Quantization. Foundations of Physics 39 (10):1145-1160.
    It is pointed out that ordinary quantum mechanics as a classical field theory cannot account for the wave function collapse if it is not seen within the framework of field quantization. That is needed to understand the particle structure of matter during wave function evolution and to explain the collapse as symmetry breakdown by detection. The decay of a two-particle bound s state and the Stern-Gerlach experiment serve as examples. The absence of the nonlocality problem in (...)
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  26.  13
    Douglas Snyder (1995). On the Quantum Mechanical Wave Function as a Link Between Cognition and the Physical World: A Role for Psychology. Journal of Mind and Behavior 16 (2):151-179.
    A straightforward explanation of fundamental tenets concerning the quantum mechanical wave function results in the thesis that the quantum mechanical wave function is a link between human cognition and the physical world. The way in which physicists have not accepted this explanation is discussed, and some of the roots of the problem are explored. The basis for an empirical test as to whether the wave function is a link between human cognition and the physical (...)
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  27.  6
    C. W. Cowan & R. Tumulka (2014). Epistemology of Wave Function Collapse in Quantum Physics. British Journal for the Philosophy of Science:axu038.
    Among several possibilities for what reality could be like in view of the empirical facts of quantum mechanics, one is provided by theories of spontaneous wave function collapse, the best known of which is the Ghirardi–Rimini–Weber theory. We show mathematically that in GRW theory there are limitations to knowledge, that is, inhabitants of a GRW universe cannot find out all the facts true of their universe. As a specific example, they cannot accurately measure the number of collapses that (...)
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  28.  3
    Shan Gao, Protective Measurements and the Meaning of the Wave Function in the de Broglie-Bohm Theory.
    There are three possible interpretations of the wave function in the de Broglie-Bohm theory: taking the wave function as corresponding to a physical entity or a property of the Bohmian particles or a law. In this paper, we argue that the first interpretation is favored by an analysis of protective measurements.
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  29.  15
    Andor Frenkel (1990). Spontaneous Localizations of the Wave Function and Classical Behavior. 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 (...)
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  30.  26
    Pete A. Y. Gunter (2009). Collapse of the Quantum Wave Function. Process Studies 38 (2):304-318.
    The following introduction offers a broad survey of the history of quantum physics. It then outlines the position of each contributor in this Special Focus Section concerning the collapse of the quantum wave function and defines three important terms (Hilbert space, Schrödinger’s cat, and decoherence) used in discussing this topic.
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  31.  24
    Willem M. Muynck & Gidi P. Liempd (1986). On the Relation Between Indistinguishability of Identical Particles and (Anti)Symmetry of the Wave Function in Quantum Mechanics. Synthese 67 (3):477 - 496.
    Two different concepts of distinguishability are often mixed up in attempts to derive in quantum mechanics the (anti)symmetry of the wave function from indistinguishability of identical particles. Some of these attempts are analyzed and shown to be defective. It is argued that, although identical particles should be considered as observationally indistinguishable in (anti)symmetric states, they may be considered to be conceptually distinguishable. These two notions of (in)distinguishability have quite different physical origins, the former one being related to (...)
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  32.  6
    Carl Frederick (1976). The Collapse of the Wave Function. Foundations of Physics 6 (5):607-611.
    Probability distributions are seen to be observer dependent. The probability function ψ†ψ can be put into an observer-dependent form. This eliminates the acausal behavior of the collapse of the wave function.
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  33.  5
    Mikio Namiki & Saverio Pascazio (1992). Many-Hilbert-Spaces Approach to the Wave-Function Collapse. Foundations of Physics 22 (3):451-466.
    The many-Hilbert-spaces approach to the measurement problem in quantum mechanics is reviewed, and the notion of wave function collapse by measurement is formulated as a dephasing process between the two branch waves of an interfering particle. Following the approach originally proposed in Ref. 1, we introduce a “decoherence parameter,” which yields aquantitative description of the degree of coherence between the two branch waves of an interfering particle. By discussing the difference between the wave function collapse and (...)
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  34.  3
    Robert E. Shaw, Endre E. Kadar & M. T. Turvey (1997). The Job Description of the Cerebellum and a Candidate Model of its “Tidal WaveFunction. Behavioral and Brain Sciences 20 (2):265-265.
    A path space integral approach to modelling the job description of the cerebellum is proposed. This new approach incorporates the equation into a kind of generalized Huygens's wave equation. The resulting exponential functional integral provides a mathematical expression of the inhibitory function by which the cerebellum the intended control signal from the background of neuronal excitation.
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  35.  6
    David Wallace, Life and Death in the Tails of the Wave Function.
    It seems to be widely assumed that the only effect of the Ghirardi-Rimini-Weber dynamical collapse mechanism on the `tails' of the wavefunction is to reduce their weight. In consequence it seems to be generally accepted that the tails behave exactly as do the various branches in the Everett interpretation except for their much lower weight. These assumptions are demonstrably inaccurate: the collapse mechanism has substantial and detectable effects within the tails. The relevance of this misconception for the dynamical-collapse theories is (...)
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  36. Nuri Ünal (1997). A Simple Model of the classicalZitterbewegung: Photon Wave Function. [REVIEW] Foundations of Physics 27 (5):731-746.
    We propose a simple classical model of the zitterbewegung. In this model spin is proportional to the velocity of the particle, the component parallel top is constant and the orthogonal components are oscillating with2p frequency. The quantization of the system gives wave equations for spin,0, 1/2, 1, 3/2,…, etc. respectively. These equations are convenient for massless particles. The wave equation of the spin-1, massless free particle is equivalent to the Maxwell equations and the state functions have a probability (...)
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  37.  31
    D. Bar (1998). The Feynman Path Integrals and Everett's Universal Wave Function. Foundations of Physics 28 (8):1383-1391.
    We study here the properties of some quantum mechanical wave functions, which, in contrast to the regular quantum mechanical wave functions, can be predetermined with certainty (probability 1) by performing dense measurements (or continuous observations). These specific “certain” states are the junction points through which pass all the diverse paths that can proceed between each two such neighboring “sure” points. When we compare the properties of these points to the properties of the well-known universal wave functions of (...)
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  38.  13
    Allen C. Dotson (1991). What Determines Whether a Wave Function is Inherently Necessary? Foundations of Physics 21 (7):821-829.
    The inherent necessity of wave functions may be determined in either of two ways. One way, frequently presupposed, states that the fundamental validity of wave functions is determined generically: The nature of the system determines the assignability of inherently necessary wave functions. The other approach holds that it is the specific experiment which determines the systems for which description by use of wave functions is fundamentally valid. A guideline based on this contextual approach is proposed and (...)
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  39.  16
    Jos Uffink, Reply to Gao’s ”Comment on ”How to Protect the Interpretation of the Wave Function Against Protective Measurements.
    Shan Gao recently presented a critical reconsideration of a paper I wote on the subject of protective measurement. Here, I take the occasion to reply to his objections.
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  40.  39
    Adrian Kent (2015). Does It Make Sense to Speak of Self-Locating Uncertainty in the Universal Wave Function? Remarks on Sebens and Carroll. Foundations of Physics 45 (2):211-217.
    Following a proposal of Vaidman The Stanford encyclopaedia of philosophy, 2014) The probable and the improbable: understanding probability in physics, essays in memory of Itamar Pitowsky, 2011), Sebens and Carroll , have argued that in Everettian quantum theory, observers are uncertain, before they complete their observation, about which Everettian branch they are on. They argue further that this solves the problem of making sense of probabilities within Everettian quantum theory, even though the theory itself is deterministic. We note some problems (...)
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  41.  12
    Albert Solé & Carl Hoefer (2015). Introduction: Space–Time and the Wave Function. Synthese 192 (10):3055-3070.
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  42.  19
    Elias Okon & Daniel Sudarsky (2015). The Black Hole Information Paradox and the Collapse of the Wave Function. Foundations of Physics 45 (4):461-470.
    The black hole information paradox arises from an apparent conflict between the Hawking black hole radiation and the fact that time evolution in quantum mechanics is unitary. The trouble is that while the former suggests that information of a system falling into a black hole disappears, the latter implies that information must be conserved. In this work we discuss the current divergence in views regarding the paradox, we evaluate the role that objective collapse theories could play in its resolution and (...)
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  43.  32
    Tim Maudlin (1997). Descrying the World in the Wave Function. The Monist 80 (1):3-23.
  44.  5
    F. Károlyházy, A. Frenkel & B. Lukács (1986). On the Possible Role of Gravity in the Reduction of the Wave Function. In Roger Penrose & C. J. Isham (eds.), Quantum Concepts in Space and Time. New York ;Oxford University Press 1--109.
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  45.  22
    Quentin Smith (1997). The Ontological Interpretation of the Wave Function of the Universe. The Monist 80 (1):160-185.
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  46.  3
    Hugh Everett Iii (1973). The Theory of the Universal Wave Function. In B. DeWitt & N. Graham (eds.), The Many-Worlds Interpretation of Quantum Mechanics. Princeton Up 3.
  47.  9
    S. H. Kim (1993). Principle of Random Wave-Function Phase of the Final State in Free-Electron Emission in a Wiggler. Apeiron 17:13-17.
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  48.  2
    Markku Jääskeläinen (2015). The Wave Function as Matter Density: Ontological Assumptions and Experimental Consequences. Foundations of Physics 45 (6):591-610.
    The wavefunction is the central mathematical entity of quantum mechanics, but it still lacks a universally accepted interpretation. Much effort is spent on attempts to probe its fundamental nature. Here I investigate the consequences of a matter ontology applied to spherical masses of constant bulk density. The governing equation for the center-of-mass wavefunction is derived and solved numerically. The ground state wavefunctions and resulting matter densities are investigated. A lowering of the density from its bulk value is found for low (...)
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  49.  4
    Robert M. Wald (1991). The Role of Time in the Interpretation of the Wave Function of the Universe. In A. Ashtekar & J. Stachel (eds.), Conceptual Problems of Quantum Gravity. Birkhauser 1--211.
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  50.  4
    Don N. Page (1986). Hawking's Wave Function for the Universe. In Roger Penrose & C. J. Isham (eds.), Quantum Concepts in Space and Time. New York ;Oxford University Press 1--274.
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