Search results for 'Mechanics' (try it on Scholar)

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  1. Mauro Dorato & Matteo Morganti (2013). Grades of Individuality. A Pluralistic View of Identity in Quantum Mechanics and in the Sciences. Philosophical Studies 163 (3):591-610.score: 24.0
    This paper offers a critical assessment of the current state of the debate about the identity and individuality of material objects. Its main aim, in particular, is to show that, in a sense to be carefully specified, the opposition between the Leibnizian ‘reductionist’ tradition, based on discernibility, and the sort of ‘primitivism’ that denies that facts of identity and individuality must be analysable has become outdated. In particular, it is argued that—contrary to a widespread consensus—‘naturalised’ metaphysics supports both the acceptability (...)
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  2. Alex Byrne & N. Hall (1999). Chalmers on Consciousness and Quantum Mechanics. Philosophy of Science 66 (3):370-90.score: 24.0
    The textbook presentation of quantum mechanics, in a nutshell, is this. The physical state of any isolated system evolves deterministically in accordance with Schrödinger's equation until a "measurement" of some physical magnitude M (e.g. position, energy, spin) is made. Restricting attention to the case where the values of M are discrete, the system's pre-measurement state-vector f is a linear combination, or "superposition", of vectors f1, f2,... that individually represent states that..
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  3. Gerhard Ernst & Andreas Hüttemann (eds.) (2010). Time, Chance and Reduction: Philosophical Aspects of Statistical Mechanics. Cambridge University Press.score: 24.0
    Statistical mechanics attempts to explain the behaviour of macroscopic physical systems in terms of the mechanical properties of their constituents. Although it is one of the fundamental theories of physics, it has received little attention from philosophers of science. Nevertheless, it raises philosophical questions of fundamental importance on the nature of time, chance and reduction. Most philosophical issues in this domain relate to the question of the reduction of thermodynamics to statistical mechanics. This book addresses issues inherent in (...)
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  4. Nicholas Maxwell (1976). Towards a Micro Realistic Version of Quantum Mechanics, Part I. Foundations of Physics 6 (3):275-292.score: 24.0
    This paper investigates the possibiity of developing a fully micro realistic version of elementary quantum mechanics. I argue that it is highly desirable to develop such a version of quantum mechanics, and that the failure of all current versions and interpretations of quantum mechanics to constitute micro realistic theories is at the root of many of the interpretative problems associated with quantum mechanics, in particular the problem of measurement. I put forward a propensity micro realistic version (...)
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  5. Alastair Wilson (2012). Objective Probability in Everettian Quantum Mechanics. British Journal for the Philosophy of Science 64 (4):axs022.score: 24.0
    David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics (EQM). This approach promises to resolve some long-standing problems with probability in EQM, but it has faced plenty of resistance. One kind of objection (the ‘incoherence problem’) charges that the requisite notion of decision-theoretic uncertainty is unavailable in the Everettian picture, so that the argument cannot gain any traction; another kind of objection grants the proof’s applicability and targets the premises. In (...)
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  6. Henry P. Stapp (1993). Mind, Matter, and Quantum Mechanics. Springer-Verlag.score: 24.0
    In this book, which contains several of his key papers as well as new material, he focuses on the problem of consciousness and explains how quantum mechanics...
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  7. Elias Okon & Craig Callender (2011). Does Quantum Mechanics Clash with the Equivalence Principle—and Does It Matter? European Journal for Philosophy of Science 1 (1):133-145.score: 24.0
    Does quantum mechanics clash with the equivalence principle—and does it matter? Content Type Journal Article Pages 133-145 DOI 10.1007/s13194-010-0009-z Authors Elias Okon, Philosophy Department, UC San Diego, 9500 Gilman Dr., La Jolla CA, 92093, USA Craig Callender, Philosophy Department, UC San Diego, 9500 Gilman Dr., La Jolla CA, 92093, USA Journal European Journal for Philosophy of Science Online ISSN 1879-4920 Print ISSN 1879-4912 Journal Volume Volume 1 Journal Issue Volume 1, Number 1.
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  8. P. A. M. Dirac (1930). The Principles of Quantum Mechanics. Oxford, the Clarendon Press.score: 24.0
    THE PRINCIPLE OF SUPERPOSITION. The need for a quantum theory Classical mechanics has been developed continuously from the time of Newton and applied to an ...
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  9. Nicholas Maxwell (1976). Towards a Micro Realistic Version of Quantum Mechanics, Part II. Foundations of Physics 6 (6):661-676.score: 24.0
    In this paper, possible objections to the propensity microrealistic version of quantum mechanics proposed in Part I are answered. This version of quantum mechanics is compared with the statistical, particle microrealistic viewpoint, and a crucial experiment is proposed designed to distinguish between these to microrealistic versions of quantum mechanics.
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  10. Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.score: 24.0
    Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the classical motion of macroscopic bodies. In this paper we shall analyze special cases of classical behavior in the framework of a precise formulation of quantum mechanics, Bohmian mechanics, which contains in its own (...)
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  11. Wayne C. Myrvold (forthcoming). Probabilities in Statistical Mechanics. In Christopher Hitchcock & Alan Hájek (eds.), The Oxford Handbook of Probability and Philosophy. Oxford University Press.score: 24.0
    This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, (...)
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  12. Fernando Birman (2009). Quantum Mechanics and the Plight of Physicalism. Journal for General Philosophy of Science 40 (2):207-225.score: 24.0
    The literature on physicalism often fails to elucidate, I think, what the word physical in physical ism precisely means. Philosophers speak at times of an ideal set of fundamental physical facts, or they stipulate that physical means non-mental , such that all fundamental physical facts are fundamental facts pertaining to the non-mental. In this article, I will probe physicalism in the very much tangible framework of quantum mechanics. Although this theory, unlike “ideal physics” or some “final theory of non-mentality”, (...)
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  13. Jeffrey Barrett (2011). Everett's Pure Wave Mechanics and the Notion of Worlds. European Journal for Philosophy of Science 1 (2):277-302.score: 24.0
    Everett (1957a, b, 1973) relative-state formulation of quantum mechanics has often been taken to involve a metaphysical commitment to the existence of many splitting worlds each containing physical copies of observers and the objects they observe. While there was earlier talk of splitting worlds in connection with Everett, this is largely due to DeWitt’s (Phys Today 23:30–35, 1970) popular presentation of the theory. While the thought of splitting worlds or parallel universes has captured the popular imagination, Everett himself favored (...)
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  14. Tomasz Bigaj (2007). Counterfactuals and Non-Locality of Quantum Mechanics: The Bedford–Stapp Version of the GHZ Theorem. [REVIEW] Foundations of Science 12 (1):85-108.score: 24.0
    In the paper, the proof of the non-locality of quantum mechanics, given by Bedford and Stapp (1995), and appealing to the GHZ example, is analyzed. The proof does not contain any explicit assumption of realism, but instead it uses formal methods and techniques of the Lewis calculus of counterfactuals. To ascertain the validity of the proof, a formal semantic model for counterfactuals is constructed. With the help of this model it can be shown that the proof is faulty, because (...)
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  15. Valia Allori (2013). On the Metaphysics of Quantum Mechanics. In Soazig Lebihan (ed.), Precis de la Philosophie de la Physique. Vuibert.score: 24.0
    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 (...)
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  16. Sheldon Goldstein (2010). Bohmian Mechanics and Quantum Information. Foundations of Physics 40 (4):335-355.score: 24.0
    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 information, (...)
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  17. Matthew J. Brown (2009). Relational Quantum Mechanics and the Determinacy Problem. British Journal for the Philosophy of Science 60 (4):679-695.score: 24.0
    Carlo Rovelli's relational interpretation of quantum mechanics holds that a system's states or the values of its physical quantities as normally conceived only exist relative to a cut between a system and an observer or measuring instrument. Furthermore, on Rovelli's account, the appearance of determinate observations from pure quantum superpositions happens only relative to the interaction of the system and observer. Jeffrey Barrett ([1999]) has pointed out that certain relational interpretations suffer from what we might call the ‘determinacy problem', (...)
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  18. C. Lehner (1997). What It Feels Like to Be in a Superposition, and Why: Consciousness and the Interpretation of Everett's Quantum Mechanics. Synthese 110 (2):191-216.score: 24.0
    This paper attempts an interpretation of Everett's relative state formulation of quantum mechanics that avoids the commitment to new metaphysical entities like ‘worlds’ or ‘minds’. Starting from Everett's quantum mechanical model of an observer, it is argued that an observer's belief to be in an eigenstate of the measurement (corresponding to the observation of a well-defined measurement outcome) is consistent with the fact that she objectively is in a superposition of such states. Subjective states corresponding to such beliefs are (...)
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  19. Dennis Dieks (2009). Objectivity in Perspective: Relationism in the Interpretation of Quantum Mechanics. [REVIEW] Foundations of Physics 39 (7):760-775.score: 24.0
    Pekka Lahti is a prominent exponent of the renaissance of foundational studies in quantum mechanics that has taken place during the last few decades. Among other things, he and coworkers have drawn renewed attention to, and have analyzed with fresh mathematical rigor, the threat of inconsistency at the basis of quantum theory: ordinary measurement interactions, described within the mathematical formalism by Schrödinger-type equations of motion, seem to be unable to lead to the occurrence of definite measurement outcomes, whereas the (...)
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  20. Maarten Van Dyck (2003). The Roles of One Thought Experiment in Interpreting Quantum Mechanics. Werner Heisenberg Meets Thomas Kuhn. Philosophica 72 (3):79-103.score: 24.0
    Recent years saw the rise of an interest in the roles and significance of thought experiments in different areas of human thinking. Heisenberg's gamma ray microscope is no doubt one of the most famous examples of a thought experiment in physics. Nevertheless, this particular thought experiment has not received much detailed attention in the philosophical literature on thought experiments up to date, maybe because of its often claimed inadequacies. In this paper, I try to do two things: to provide an (...)
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  21. Peter Bokulich (2005). Niels Bohr's Generalization of Classical Mechanics. Foundations of Physics 35 (3):347-371.score: 24.0
    We clarify Bohr’s interpretation of quantum mechanics by demonstrating the central role played by his thesis that quantum theory is a rational generalization of classical mechanics. This thesis is essential for an adequate understanding of his insistence on the indispensability of classical concepts, his account of how the quantum formalism gets its meaning, and his belief that hidden variable interpretations are impossible.
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  22. Giovanni Villani (2014). Structured System in Chemistry: Comparison with Mechanics and Biology. [REVIEW] Foundations of Chemistry 16 (2):107-123.score: 24.0
    The fundamental concept of structured chemical system has been introduced and analysed in this paper. This concept, as in biology but not in physics, is very important in chemistry. In fact, the main chemical concepts (molecule and compound) have been identified as systemic concepts and their use in chemical explanation can only be justified in this approach. The fundamental concept of “environment” has been considered and then the system concept in mechanics, chemistry and biology. The differences and the analogies (...)
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  23. S. E. Perez-Bergliaffa, Gustavo E. Romero & H. Vucetich (1996). Axiomatic Foundations of Quantum Mechanics Revisited: The Case for Systems. International Journal of Theoretical Phyisics 35:1805-1819.score: 24.0
    We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in this framework. It is shown that there is no contradiction between realism and recent experimental results.
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  24. Slobodan Perovic (2006). Schrödinger's Interpretation of Quantum Mechanics and the Relevance of Bohr's Experimental Critique. Studies in History and Philosophy of Science Part B 37 (2):275-297.score: 24.0
    E. Schrödinger's ideas on interpreting quantum mechanics have been recently re-examined by historians and revived by philosophers of quantum mechanics. Such recent re-evaluations have focused on Schrödinger's retention of space–time continuity and his relinquishment of the corpuscularian understanding of microphysical systems. Several of these historical re-examinations claim that Schrödinger refrained from pursuing his 1926 wave-mechanical interpretation of quantum mechanics under pressure from the Copenhagen and Göttingen physicists, who misinterpreted his ideas in their dogmatic pursuit of the complementarity (...)
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  25. Michael Esfeld (2013). Ontic Structural Realism and the Interpretation of Quantum Mechanics. European Journal for Philosophy of Science 3 (1):19-32.score: 24.0
    This paper argues that ontic structural realism (OSR) faces a dilemma: either it remains on the general level of realism with respect to the structure of a given theory, but then it is, like epistemic structural realism, only a partial realism; or it is a complete realism, but then it has to answer the question how the structure of a given theory is implemented, instantiated or realized and thus has to argue for a particular interpretation of the theory in question. (...)
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  26. Darrin W. Belousek (2005). Underdetermination, Realism, and Theory Appraisal: An Epistemological Reflection on Quantum Mechanics. [REVIEW] Foundations of Physics 35 (4):669-695.score: 24.0
    This paper examines the epistemological significance of the present situation of underdetermination in quantum mechanics. After analyzing this underdetermination at three levels---formal, ontological, and methodological---the paper considers implications for a number of variants of the thesis of scientific realism in fundamental physics and reassesses Lakatos‘ characterization of progress in physical theory in light of the present situation. Next, this paper considers the implications of underdetermination for Weinberg’s ‘‘dream of a final theory.’’ Finally, the paper concludes by suggesting how one (...)
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  27. Sheldon R. Smith (2010). Elementary Classical Mechanics and the Principle of the Composition of Causes. Synthese 173 (3):353 - 373.score: 24.0
    In this paper, I explore whether elementary classical mechanics adheres to the Principle of Composition of Causes as Mill claimed and as certain contemporary authors still seem to believe. Among other things, I provide a proof that if one reads Mill’s description of the principle literally (as I think many do), it does not hold in any general sense. In addition, I explore a separate notion of Composition of Causes and note that it too does not hold in elementary (...)
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  28. Maria Carla Galavotti (1995). Operationism, Probability and Quantum Mechanics. Foundations of Science 1 (1):99-118.score: 24.0
    This paper investigates the kind of empiricism combined with an operationalist perspective that, in the first decades of our Century, gave rise to a turning point in theoretical physics and in probability theory. While quantum mechanics was taking shape, the classical (Laplacian) interpretation of probability gave way to two divergent perspectives: frequentism and subjectivism. Frequentism gained wide acceptance among theoretical physicists. Subjectivism, on the other hand, was never held to be a serious candidate for application to physical theories, despite (...)
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  29. Lawrence Sklar (1993). Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics. Cambridge University Press.score: 24.0
    Statistical mechanics is one of the crucial fundamental theories of physics, and in his new book Lawrence Sklar, one of the pre-eminent philosophers of physics, offers a comprehensive, non-technical introduction to that theory and to attempts to understand its foundational elements. Among the topics treated in detail are: probability and statistical explanation, the basic issues in both equilibrium and non-equilibrium statistical mechanics, the role of cosmology, the reduction of thermodynamics to statistical mechanics, and the alleged foundation of (...)
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  30. Valia Allori & Nino Zanghi (2004). What is Bohmian Mechanics. International Journal of Theoretical Physics 43:1743-1755.score: 24.0
    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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  31. Douglas Kutach (1998). Review of The Interpretation of Quantum Mechanics and the Measurement Process. [REVIEW] British Journal for the Philosophy of Science 49 (4):649-651.score: 24.0
    Book review of The Interpretation of Quantum Mechanics and the Measurement Process.
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  32. Sergey V. Polyakov, Fabrizio Piacentini, Paolo Traina, Ivo P. Degiovanni, Alan Migdall, Giorgio Brida & Marco Genovese (2013). Practical Implementation of a Test of Event-Based Corpuscular Model as an Alternative to Quantum Mechanics. Foundations of Physics 43 (8):913-922.score: 24.0
    We describe in detail the first experimental test that distinguishes between an event-based corpuscular model of the interaction of photons with matter and quantum mechanics. The test looks at the interference that results as a single photon passes through a Mach-Zehnder interferometer. The experimental results, obtained with a low-noise single-photon source, agree with the predictions of standard quantum mechanics.
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  33. S. E. Perez Bergliaffa, Gustavo E. Romero & H. Vucetich (1993). Axiomatic Foundations of Non-Relativistic Quantum Mechanics: A Realistic Approach. International Journal of Theoretical Physics 32 (9):1507-1522.score: 24.0
    A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the formal aspect has been improved by the use of certain mathematical theories, such as the theory of equipped spaces, and group theory. The standard formalism is naturally obtained from the latter, starting from a central primitive concept: the Galilei group.
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  34. Tomasz Bigaj (2012). Ungrounded Dispositions in Quantum Mechanics. Foundations of Science 17 (3):205-221.score: 24.0
    General metaphysical arguments have been proposed in favour of the thesis that all dispositions have categorical bases (Armstrong; Prior, Pargetter, Jackson). These arguments have been countered by equally general arguments in support of ungrounded dispositions (Molnar, Mumford). I believe that this controversy cannot be settled purely on the level of abstract metaphysical considerations. Instead, I propose to look for ungrounded dispositions in specific physical theories, such as quantum mechanics. I explain why non-classical properties such as spin are best interpreted (...)
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  35. F. T. Falciano, M. Novello & J. M. Salim (2010). Geometrizing Relativistic Quantum Mechanics. Foundations of Physics 40 (12):1885-1901.score: 24.0
    We propose a new approach to describe quantum mechanics as a manifestation of non-Euclidean geometry. In particular, we construct a new geometrical space that we shall call Qwist. A Qwist space has a extra scalar degree of freedom that ultimately will be identified with quantum effects. The geometrical properties of Qwist allow us to formulate a geometrical version of the uncertainty principle. This relativistic uncertainty relation unifies the position-momentum and time-energy uncertainty principles in a unique relation that recover both (...)
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  36. D. J. Miller & Matt Farr, On the Possibility of Ontological Models of Quantum Mechanics.score: 24.0
    It is an unresolved question in quantum mechanics whether quantum states apply to individual quantum systems, or to ensembles of quantum systems. We show by way of a thought experiment that quantum states apply only to ensembles of quantum systems. A further unresolved question is whether quantum systems possess ontic states. If a quantum state is the state of an ensemble, as we claim, the answer to this question is that quantum states are not ontic. However, a notable recent (...)
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  37. María C. Boscá (2013). Some Observations Upon “Realistic” Trajectories in Bohmian Quantum Mechanics. Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (1):45-60.score: 24.0
    Experimental situations in which we observe quantum effects that deviate from the intuitive expectations of the classical world call for an interdisciplinary discussion, and one fundamental issue to be considered is the compatibility between the description of phenomena and the assumption of an objective reality. This paper discusses the ontological interpretation of Bohmian quantum mechanics, focusing on the use of the term “trajectory” and the difficulties associated with its connection to a “real” (objective) trajectory. My conclusion is that the (...)
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  38. Manuel Bächtold (2008). Interpreting Quantum Mechanics According to a Pragmatist Approach. Foundations of Physics 38 (9):843-868.score: 24.0
    The aim of this paper is to show that quantum mechanics can be interpreted according to a pragmatist approach. The latter consists, first, in giving a pragmatic definition to each term used in microphysics, second, in making explicit the functions any theory must fulfil so as to ensure the success of the research activity in microphysics, and third, in showing that quantum mechanics is the only theory which fulfils exactly these functions.
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  39. Rodolfo Gambini, Luis Pedro García-Pintos & Jorge Pullin (2011). An Axiomatic Formulation of the Montevideo Interpretation of Quantum Mechanics. Studies in History and Philosophy of Science Part B 42 (4):256-263.score: 24.0
    We make a first attempt to axiomatically formulate the Montevideo interpretation of quantum mechanics. In this interpretation environmental decoherence is supplemented with loss of coherence due to the use of realistic clocks to measure time to solve the measurement problem. The resulting formulation is framed entirely in terms of quantum objects without having to invoke the existence of measurable classical quantities like the time in ordinary quantum mechanics. The formulation eliminates any privileged role to the measurement process giving (...)
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  40. Carsten Held (2008). Axiomatic Quantum Mechanics and Completeness. Foundations of Physics 38 (8):707-732.score: 24.0
    The standard axiomatization of quantum mechanics (QM) is not fully explicit about the role of the time-parameter. Especially, the time reference within the probability algorithm (the Born Rule, BR) is unclear. From a probability principle P1 and a second principle P2 affording a most natural way to make BR precise, a logical conflict with the standard expression for the completeness of QM can be derived. Rejecting P1 is implausible. Rejecting P2 leads to unphysical results and to a conflict with (...)
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  41. A. Kryukov (2011). Geometry of the Unification of Quantum Mechanics and Relativity of a Single Particle. Foundations of Physics 41 (1):129-140.score: 24.0
    The paper summarizes, generalizes and reveals the physical content of a recently proposed framework that unifies the standard formalisms of special relativity and quantum mechanics. The framework is based on Hilbert spaces H of functions of four space-time variables x,t, furnished with an additional indefinite inner product invariant under Poincaré transformations. The indefinite metric is responsible for breaking the symmetry between space and time variables and for selecting a family of Hilbert subspaces that are preserved under Galileo transformations. Within (...)
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  42. Hinne Hettema (2013). Austere Quantum Mechanics as a Reductive Basis for Chemistry. Foundations of Chemistry 15 (3):311-326.score: 24.0
    This paper analyses Richard Bader’s ‘operational’ view of quantum mechanics and the role it plays in the the explanation of chemistry. I argue that QTAIM can partially be reconstructed as an ‘austere’ form of quantum mechanics, which is in turn committed to an eliminative concept of reduction that stems from Kemeny and Oppenheim. As a reductive theory in this sense, the theory fails. I conclude that QTAIM has both a regulatory and constructive function in the theories of chemistry.
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  43. C. Baladrón (2011). Study on a Possible Darwinian Origin of Quantum Mechanics. Foundations of Physics 41 (3):389-395.score: 24.0
    A sketchy subquantum theory deeply influenced by Wheeler’s ideas (Am. J. Phys. 51:398–404, 1983) and by the de Broglie-Bohm interpretation (Goldstein in Stanford Encyclopedia of Philosophy, 2006) of quantum mechanics is further analyzed. In this theory a fundamental system is defined as a dual entity formed by bare matter and a methodological probabilistic classical Turing machine. The evolution of the system would be determined by three Darwinian informational regulating principles. Some progress in the derivation of the postulates of quantum (...)
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  44. Eric Scerri (2012). What is an Element? What is the Periodic Table? And What Does Quantum Mechanics Contribute to the Question? Foundations of Chemistry 14 (1):69-81.score: 24.0
    This article considers two important traditions concerning the chemical elements. The first is the meaning of the term “element” including the distinctions between element as basic substance, as simple substance and as combined simple substance. In addition to briefly tracing the historical development of these distinctions, I make comments on the recent attempts to clarify the fundamental notion of element as basic substance for which I believe the term “element” is best reserved. This discussion has focused on the writings of (...)
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  45. Bruno Galvan (2007). Typicality Vs. Probability in Trajectory-Based Formulations of Quantum Mechanics. Foundations of Physics 37 (11):1540-1562.score: 24.0
    Bohmian mechanics represents the universe as a set of paths with a probability measure defined on it. The way in which a mathematical model of this kind can explain the observed phenomena of the universe is examined in general. It is shown that the explanation does not make use of the full probability measure, but rather of a suitable set function deriving from it, which defines relative typicality between single-time cylinder sets. Such a set function can also be derived (...)
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  46. B. J. Hiley (2010). On the Relationship Between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step to a More General Theory? [REVIEW] Foundations of Physics 40 (4):356-367.score: 24.0
    In this paper we show that the three main equations used by Bohm in his approach to quantum mechanics are already contained in the earlier paper by Moyal which forms the basis for what is known as the Wigner-Moyal approach. This shows, contrary to the usual perception, that there is a deep relation between the two approaches. We suggest the relevance of this result to the more general problem of constructing a quantum geometry.
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  47. Bradford Skow (2010). On a Symmetry Argument for the Guidance Equation in Bohmian Mechanics. International Studies in the Philosophy of Science 24 (4):393-410.score: 24.0
    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 fails because (...)
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  48. Claudio Calosi (2013). Quantum Mechanics and Priority Monism. Synthese:1-14.score: 24.0
    The paper address the question of whether quantum mechanics (QM) favors Priority Monism, the view according to which the Universe is the only fundamental object. It develops formal frameworks to frame rigorously the question of fundamental mereology and its answers, namely (Priority) Pluralism and Monism. It then reconstructs the quantum mechanical argument in favor of the latter and provides a detailed and thorough criticism of it that sheds furthermore new light on the relation between parthood, composition and fundamentality in (...)
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  49. Juan Eduardo Reluz Machicote (2010). Time as a Geometric Concept Involving Angular Relations in Classical Mechanics and Quantum Mechanics. Foundations of Physics 40 (11):1744-1778.score: 24.0
    The goal of this paper is to introduce the notion of a four-dimensional time in classical mechanics and in quantum mechanics as a natural concept related with the angular momentum. The four-dimensional time is a consequence of the geometrical relation in the particle in a given plane defined by the angular momentum. A quaternion is the mathematical entity that gives the correct direction to the four-dimensional time.Taking into account the four-dimensional time as a vectorial quaternionic idea, we develop (...)
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  50. Slobodan Perovic (2008). Why Were Matrix Mechanics and Wave Mechanics Considered Equivalent? Studies in History and Philosophy of Science Part B 39 (2):444-461.score: 24.0
    A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger's 1926 proof, a myth. Schrödinger supposedly failed to prove isomorphism, or even a weaker equivalence (“Schrödinger-equivalence”) of the mathematical structures of the two theories; developments in the early 1930s, especially the work of mathematician von Neumann provided sound proof of mathematical equivalence. The alleged agreement about the Copenhagen Interpretation, predicated to (...)
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