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Philosophy of Physical Science

Edited by Hans Halvorson (Princeton University)
Assistant editor: Joshua Luczak (University of Western Ontario)
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  1. added 2015-05-22
    A. S. Sanz (forthcoming). Investigating Puzzling Aspects of the Quantum Theory by Means of Its Hydrodynamic Formulation. Foundations of Physics:1-13.
    Bohmian mechanics, a hydrodynamic formulation of the quantum theory, constitutes a useful tool to understand the role of the phase as the mechanism responsible for the dynamical evolution displayed by quantum systems. This role is analyzed and discussed here in the context of quantum interference, considering to this end two well-known scenarios, namely Young’s two-slit experiment and Wheeler’s delayed choice experiment. A numerical implementation of the first scenario is used to show how interference in a coherent superposition of two counter-propagating (...)
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  2. added 2015-05-20
    R. M. Angelo & A. D. Ribeiro (forthcoming). Wave–Particle Duality: An Information-Based Approach. Foundations of Physics:1-14.
    Recently, Bohr’s complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would simultaneously behave as wave and particle. Here we defend a framework that, supported by well-known experimental results and consistent with the decoherence paradigm, allows us to interpret complementarity in terms of correlations between the system and an informer. Our proposal offers formal definition and operational interpretation (...)
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  3. added 2015-05-20
    Kobi Kremnizer & André Ranchin (forthcoming). Integrated Information-Induced Quantum Collapse. Foundations of Physics:1-11.
    We present a novel spontaneous collapse model where size is no longer the property of a physical system which determines its rate of collapse. Instead, we argue that the rate of spontaneous localization should depend on a system’s quantum Integrated Information , a novel physical property which describes a system’s capacity to act like a quantum observer. We introduce quantum Integrated Information, present our QII collapse model and briefly explain how it may be experimentally tested against quantum theory.
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  4. added 2015-05-20
    Jarosław Pykacz, L’Ubica Valášková & Ol’ga Nánásiová (forthcoming). Bell-Type Inequalities for Bivariate Maps on Orthomodular Lattices. Foundations of Physics:1-14.
    Bell-type inequalities on orthomodular lattices, in which conjunctions of propositions are not modeled by meets but by maps for simultaneous measurements -maps), are studied. It is shown, that the most simple of these inequalities, that involves only two propositions, is always satisfied, contrary to what happens in the case of traditional version of this inequality in which conjunctions of propositions are modeled by meets. Equivalence of various Bell-type inequalities formulated with the aid of bivariate maps on orthomodular lattices is studied. (...)
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  5. added 2015-05-20
    Johanna Wolff (forthcoming). Spin as a Determinable. Topoi:1-8.
    In this paper I aim to answer two questions: Can spin be treated as a determinable? Can a treatment of spin as a determinable be used to understand quantum indeterminacy? In response to the first question I show that the relations among spin number, spin components and spin values cannot be captured by a single determination relation; instead we need to look at spin number and spin value separately. In response to the second question I discuss three ways in which (...)
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  6. added 2015-05-20
    Enrico Santamato & Francesco De Martini (forthcoming). Proof of the Spin–Statistics Theorem. Foundations of Physics:1-16.
    The traditional standard quantum mechanics theory is unable to solve the spin–statistics problem, i.e. to justify the utterly important “Pauli Exclusion Principle”. A complete and straightforward solution of the spin–statistics problem is presented on the basis of the “conformal quantum geometrodynamics” theory. This theory provides a Weyl-gauge invariant formulation of the standard quantum mechanics and reproduces successfully all relevant quantum processes including the formulation of Dirac’s or Schrödinger’s equation, of Heisenberg’s uncertainty relations and of the nonlocal EPR correlations. When the (...)
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  7. added 2015-05-20
    Marco Zaopo (forthcoming). Information Theoretic Characterization of Physical Theories with Projective State Space. Foundations of Physics:1-16.
    Probabilistic theories are a natural framework to investigate the foundations of quantum theory and possible alternative or deeper theories. In a generic probabilistic theory, states of a physical system are represented as vectors of outcomes probabilities and state spaces are convex cones. In this picture the physics of a given theory is related to the geometric shape of the cone of states. In quantum theory, for instance, the shape of the cone of states corresponds to a projective space over complex (...)
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  8. added 2015-05-20
    Juan Carlos Garcia-Escartin & Pedro Chamorro-Posada (forthcoming). Secure Communication in the Twin Paradox. Foundations of Physics:1-21.
    The amount of information that can be transmitted through a noisy channel is affected by relativistic effects. Under the presence of a fixed noise at the receiver, there appears an asymmetry between “slowly aging” and “fast aging” observers which can be used to have private information transmission. We discuss some models for users inside gravitational wells and in the twin paradox scenario.
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  9. added 2015-05-15
    Nicholas W. Best (forthcoming). Lavoisier’s "Reflections on Phlogiston" I: Against Phlogiston Theory. Foundations of Chemistry:1-15.
    This seminal paper, which marks a turning point of the chemical revolution, is presented for the first time in a complete English translation. In this first half Lavoisier undermines phlogiston chemistry by arguing that his French contemporaries had replaced Stahl’s original theory with radically different systems that conceptualised the phlogiston principle in completely incompatible ways. He refutes their claims by showing that these later models were riddled with inconsistencies as to phlogiston’s weight, its ability to penetrate glass and its role (...)
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  10. added 2015-05-13
    Andrei Khrennikov, Hans de Raedt, Arkady Plotnitsky & Sergey Polyakov (forthcoming). Preface of the Special Issue Probing the Limits of Quantum Mechanics: Theory and Experiment, Volume 1. Foundations of Physics:1-4.
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  11. added 2015-05-03
    Francisco Caruso & Roberto Moreira Xavier (1994). Causa Efficiens versus Causa Formalis: origens da discussão moderna sobre a dimensionalidade do espaço. Cadernos de História E Filosofia da Ciência (UNICAMP) 4 (2):43-64.
    Metascientific criteria used for explaining or constraining physical space dimensionality and their historical relationship to prevailing causal systems are discussed. The important contributions by Aristotle, Kant and Ehrenfest to the dimensionality of space problem are considered and shown to be grounded on different causal explanations: causa materialis for Aristotle, causa efficiens for young Kant and an ingenious combination of causa efficiens and causa formalis for Ehrenfest. The prominent and growing rôle played by causa formalis in modern physical approaches to this (...)
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  12. added 2015-05-01
    Leonard M. Khalilov (forthcoming). Symmetry, Inertness and Chirality in Theory of Chiral Systems. Foundations of Chemistry:1-7.
    The measure of the chiral system inertia has been suggested as a reciprocal value of degree of chirality. Three main laws of conservation, evolution, and interaction of chiral systems in the inertial space are formulated. Some of the consequences concerning the interaction of the chiral elements could be used to estimate the degree of chirality of complex chiral systems.
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  13. added 2015-04-29
    Francisco Caruso & Roberto Moreira Xavier, ON KANT'S FIRST INSIGHT INTO THE PROBLEM OF SPACE DIMENSIONALITY AND ITS PHYSICAL FOUNDATIONS.
    In this article it is shown that a careful analysis of Kant's Gedanken von der wahren Schatzung der lebendigen Krafte und Beurtheilung der Beweise leads to a conclusion that does not match the usually accepted interpretation of Kant's reasoning in 1747, according to which the young Kant supposedly establishes a relationship between the tridimensionality of space and Newton's law of universal gravitation. Indeed, it is argued that this text does not yield a satisfactory explanation of space dimensionality, actually restricting itself (...)
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  14. added 2015-04-29
    Yuexiong Huang, From Dialectic to Black Hole, The Definition of Time in Plato’s View.
    From Dialectic to Black Hole, The Definition of Time in Plato’s View.
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  15. added 2015-04-29
    Jeremy Heis (2014). Ernst Cassirer’s Substanzbegriff Und Funktionsbegriff. Hopos: The Journal of the International Society for the History of Philosophy of Science 4 (2):241-70.
    Ernst Cassirer’s book Substanzbegriff und Funktionsbegriff is a difficult book for contemporary readers to understand. Its topic, the theory of concept formation, engages with debates and authors that are largely unknown today. And its “historical” style violates the philosophical standards of clarity first propounded by early analytic philosophers. Cassirer, for instance, never says explicitly what he means by “substance-concept” and “function-concept.” In this article, I answer three questions: Why did Cassirer choose to focus on the topic of concept formation? What (...)
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  16. added 2015-04-28
    Hiroki Majima & Akira Suzuki (forthcoming). Identities for Entropy Change Associated with the Time-Evolution of an Open System. Foundations of Physics:1-9.
    A general relation between entropy and an evolutionary superoperator is derived based on the theory of the real-time formulation. The formulation establishing the relation relies only on the framework of quantum statistical mechanics and the standard definition of the von Neumann entropy. Applying the theory of the imaginary-time formulation, a similar relation is obtained for the entropy change due to the change in reservoir temperatures. To show the usefulness of these formulas, we derived the expression for the entropy production induced (...)
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  17. added 2015-04-28
    Alexey E. Rastegin (forthcoming). Uncertainty Relations for General Canonically Conjugate Observables in Terms of Unified Entropies. Foundations of Physics:1-20.
    We study uncertainty relations for a general class of canonically conjugate observables. It is known that such variables can be approached within a limiting procedure of the Pegg–Barnett type. We show that uncertainty relations for conjugate observables in terms of generalized entropies can be obtained on the base of genuine finite-dimensional consideration. Due to the Riesz theorem, there exists an inequality between norm-like functionals of two probability distributions in finite dimensions. Using a limiting procedure of the Pegg–Barnett type, we take (...)
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  18. added 2015-04-28
    David Marshall Miller (2014). Representing Space in the Scientific Revolution. Cambridge University Press.
  19. added 2015-04-27
    Alisa Bokulich (2015). A. Douglas Stone. Einstein and the Quantum: The Quest of the Valiant Swabian. [REVIEW] Hopos: The Journal of the International Society for the History of Philosophy of Science 5 (1):177-79.
    While everyone knows of Einstein’s brilliant work on relativity theory and many know of his later opposition to quantum theory as immortalized in his remark “He [God] does not play dice,” few outside of limited academic circles know of Einstein’s many seminal contributions to the development of quantum theory. In this highly accessible and enjoyable popular science book, Douglas Stone seeks to revise our popular conception of Einstein and bring the story of his profound and revolutionary insights into quantum theory (...)
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  20. added 2015-04-25
    Peter G. Nelson (forthcoming). A Modern Version of Lewis’s Theory of Valency. Foundations of Chemistry:1-10.
    A modern version of Lewis’s theory of valency is presented. This takes account of the results of quantum–mechanical calculations on molecules. Topics covered are polar covalent bonds, hypervalency, coordinate bonds, nonintegral bonds, oxo-anions, variable valency among transition elements, and nonclassical compounds. A distinction is drawn between the valence shell of an atom and the Lewis shell. The concept of a fractional bond pair is presented.
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  21. added 2015-04-25
    M. D. Pollock (2015). On the Gyromagnetic and Gyrogravito-Magnetic Ratios of the Electron. Foundations of Physics 45 (6):611-643.
    The magnetic dipole moment of the Kerr–Newman metric, defined by mass \ , electrical charge \ and angular momentum \ , is \ , corresponding, for all values of \ , to a gyromagnetic ratio \ , which is also the value of the intrinsic gyromagnetic ratio of the electron, as first noted by Carter. Here, we argue that this result can be understood in terms of the particle-wave complementarity principle. For \ can only be defined at asymptotic spatial infinity, (...)
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  22. added 2015-04-23
    Philippe Gagnon (forthcoming). Review of Amir D. Aczel, Why Science Does Not Disprove God (New York: W. Morrow, 2014). [REVIEW] ESSSAT News and Reviews 25 (2).
    Review of the book by mathematician and science writer Amir Aczel, Why Science does not Disprove God, recently reissued in paperback, with a focus on the chapters on mathematics and God, and criticisms from the standpoint of the epistemology of the science and religion dialogue.
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  23. added 2015-04-23
    Hoshang Heydari (forthcoming). Geometry and Structure of Quantum Phase Space. Foundations of Physics:1-7.
    The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geometry . The geometry also plays an important role in foundations of quantum mechanics and quantum information. In this work we discuss a geometric framework for mixed quantum states represented by density matrices, where the quantum phase space of density matrices is equipped with a symplectic structure, an almost complex structure, and a compatible Riemannian metric. (...)
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  24. added 2015-04-23
    Milena Ivanova (forthcoming). Conventionalism, Structuralism and Neo-Kantianism in Poincaré׳s Philosophy of Science. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics.
    Poincaré is well known for his conventionalism and structuralism. However, the relationship between these two theses and their place in Poincaré׳s epistemology of science remain puzzling. In this paper I show the scope of Poincaré׳s conventionalism and its position in Poincaré׳s hierarchical approach to scientific theories. I argue that for Poincaré scientific knowledge is relational and made possible by synthetic a priori, empirical and conventional elements, which, however, are not chosen arbitrarily. By examining his geometric conventionalism, his hierarchical account of (...)
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  25. added 2015-04-22
    Elay Shech (forthcoming). Two Approaches to Fractional Statistics in the Quantum Hall Effect: Idealizations and the Curious Case of the Anyon. Foundations of Physics:1-38.
    This paper looks at the nature of idealizations and representational structures appealed to in the context of the fractional quantum Hall effect, specifically, with respect to the emergence of anyons and fractional statistics. Drawing on an analogy with the Aharonov–Bohm effect, it is suggested that the standard approach to the effects— the topological approach to fractional statistics—relies essentially on problematic idealizations that need to be revised in order for the theory to be explanatory. An alternative geometric approach is outlined and (...)
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  26. added 2015-04-21
    Elena R. Loubenets (forthcoming). Context-Invariant and Local Quasi Hidden Variable Modelling Versus Contextual and Nonlocal HV Modelling. Foundations of Physics:1-11.
    For the probabilistic description of all the joint von Neumann measurements on a D-dimensional quantum system, we present the specific example of a context-invariant quasi hidden variable model, proved in Loubenets to exist for each Hilbert space. In this model, a quantum observable X is represented by a variety of random variables satisfying the functional condition required in quantum foundations but, in contrast to a contextual model, each of these random variables equivalently models X under all joint von Neumann measurements, (...)
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  27. added 2015-04-21
    R. Roknizadeh & H. Heydari (forthcoming). Complexifier Method for Generation of Coherent States of Nonlinear Harmonic Oscillator. Foundations of Physics:1-13.
    In this work we present a construction of coherent states based on ”complexifier” method for a special type of one dimensional nonlinear harmonic oscillator presented by Mathews and Lakshmanan . We will show the state quantization by using coherent states, or to build the Hilbert space according to a classical phase space, is equivalent to departure from real coordinates to complex ones.
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  28. added 2015-04-17
    Mathias Schüz (1986). Die Einheit des Wirklichen - Carl Friedrich v. Weizsäckers Denkweg. Neske - Klett.
  29. added 2015-04-16
    Vladimir N. Chernega, Olga V. Man’ko & Vladimir I. Man’ko (forthcoming). Deformed Entropy and Information Relations for Composite and Noncomposite Systems. Foundations of Physics:1-16.
    The notion of conditional entropy is extended to noncomposite systems. The \ -deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki–Lieb inequality is found for systems without subsystems.
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  30. added 2015-04-16
    Laura Felline (forthcoming). Mechanisms Meet Structural Explanation. Synthese.
    This paper investigates the relationship between Structural Explanation and the New Mechanistic account of explanation. The aim of this paper is twofold: firstly, to argue that some phenomena in the domain of fundamental physics, although mechanically brute, are structurally explained; and secondly, by elaborating on the contrast between SE and ME, to better clarify some features of SE. Finally, this paper will argue that, notwithstanding their apparently antithetical character, SE and ME can be reconciled within a unified account of general (...)
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  31. added 2015-04-16
    Sebastian de Haro, Jans Henke & Darrell Tang (2015). A. Cappelli, E. Castellani, F. Colomo and P. Di Vecchia : The Birth of String Theory. Foundations of Physics 45 (6):657-660.
    The Birth of String Theory by Cappelli et al. tells the story of the beginnings of string theory and of the evolutionary process it has undergone from its origins in S-matrix theory to its current status as a candidate unification theory. The book is intended for an audience of students and researchers in physics, as well as historians and philosophers of science with some background in quantum field theory.In the 50s and early 60s, theoretical particle physics focused on formulating a (...)
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  32. added 2015-04-15
    John E. Gray & Andrew Vogt (forthcoming). Mean and Variance in Quantum Theory. Foundations of Physics:1-6.
    Calculation of the mean of an observable in quantum mechanics is typically assumed to require that the state vector be in the domain of the corresponding self-adjoint operator or for a mixed state that the operator times the density matrix be in the trace class. We remind the reader that these assumptions are unnecessary. We state what is actually needed to calculate the mean of an observable as well as its variance.
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  33. added 2015-04-14
    Daniel Barragán (forthcoming). Essentials of Kinetics and Thermodynamics for Understanding Chemical Oscillations. Foundations of Chemistry:1-14.
    This paper presents a numerical study of the reaction A ↔ B in the presence of an intermediate and destabilizing step in its dynamics. After introducing a direct autocatalytic destabilizing process, namely quadratic autocatalysis ) and cubic autocatalysis ), a thermodynamic analysis of the evolution of the reaction in closed and open systems was performed. In addition, the Gibbs free energy, the thermodynamic affinity, and the entropy generation of the overall reaction were evaluated for each of the autocatalytic steps, in (...)
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  34. added 2015-04-13
    Maxim V. Eingorn & Vitaliy D. Rusov (forthcoming). Inflation Due to Quantum Potential. Foundations of Physics:1-8.
    In the framework of a cosmological model of the Universe filled with a nonrelativistic particle soup, we easily reproduce inflation due to the quantum potential. The lightest particles in the soup serve as a driving force of this simple, natural and promising mechanism. It is explicitly demonstrated that the appropriate choice of their mass and fraction leads to reasonable numbers of e-folds. Thus, the direct introduction of the quantum potential into cosmology of the earliest Universe gives ample opportunities of successful (...)
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  35. added 2015-04-13
    Antonio Vassallo & Michael Esfeld (forthcoming). On the Importance of Interpretation in Quantum Physics. A Reply to Elise Crull. Foundations of Physics:1-4.
    Crull (2014) claims that by invoking decoherence it is possible (i) to obviate many "fine grained" issues often conflated under the common designation of measurement problem, and (ii) to make substantial progresses in the fields of quantum gravity and quantum cosmology, without any early incorporation of a particular interpretation in the quantum formalism. We point out that Crull is mistaken about decoherence and tacitly assumes some kind of interpretation of the quantum formalism.
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  36. added 2015-04-13
    Robert Englman & Asher Yahalom (2015). Open Systems’ Density Matrix Properties in a Time Coarsened Formalism. Foundations of Physics 45 (6):673-690.
    The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling model between these two (...)
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  37. added 2015-04-12
    Olle Blomberg (2011). Conceptions of Cognition for Cognitive Engineering. International Journal of Aviation Psychology 21 (1):85-104.
    Cognitive processes, cognitive psychology tells us, unfold in our heads. In contrast, several approaches in cognitive engineering argue for a shift of unit of analysis from what is going on in the heads of operators to the workings of whole socio-technical systems. This shift is sometimes presented as part of the development of a new understanding of what cognition is and where the boundaries of cognitive systems are. Cognition, it is claimed, is not just situated or embedded, but extended and (...)
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  38. added 2015-04-10
    Marco Solinas (2015). From Aristotle’s Teleology to Darwin’s Genealogy: The Stamp of Inutility, Basingstoke: Palgrave Macmillan, 2015. Palgrave Macmillan.
    Starting with Aristotle and moving on to Darwin, Marco Solinas outlines the basic steps from the birth, establishment and later rebirth of the traditional view of living beings, and its overturning by evolutionary revolution. The classic framework devised by Aristotle was still dominant in the 17th Century world of Galileo, Harvey and Ray, and remained hegemonic until the time of Lamarck and Cuvier in the 19th Century. Darwin's breakthrough thus takes on the dimensions of an abandonment of the traditional finalistic (...)
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  39. added 2015-04-09
    Elemér E. Rosinger (forthcoming). Five Departures in Logic, Mathematics, and Thus—Whether We Like It, or Not—in Physics as Well.. Foundations of Physics:1-7.
    Physics depends on “physical intuition”, much of which is formulated in terms of Mathematics. Mathematics itself depends on Logic. The paper presents three latest novelties in Logic which have major consequences in Mathematics. Further, it presents two possible significant departures in Mathematics itself. These five departures can have major implications in Physics. Some of them are indicated, among them in Quantum Mechanics and Relativity.
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  40. added 2015-04-08
    Martin Lin (forthcoming). Leibniz on the Modal Status of Absolute Space. Noûs.
  41. added 2015-04-07
    Mostyn W. Jones (forthcoming). Review of Erik Banks: Realistic Empiricism (2014). [REVIEW] Journal of Consciousness Studies.
    Erik Banks does several things in this slender yet substantial book on realistic empiricism (aka neutral monism). First, he encapsulates the main ideas of this tradition. While he goes into greater depth on some of these ideas than other introductions do, these pages are still accessible to nonspecialists. Second, he traces the the history of this tradition through the Austrian scientist, Ernst Mach, the American psychologist, William James, the British philosopher, Bertrand Russell, and others. These four chapters are a valuable (...)
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  42. added 2015-04-06
    Harvey Brown & D. E. Rowe, The Role of Rods and Clocks in General Relativity and the Meaning of the Metric Field.
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  43. added 2015-04-06
    Dennis Lehmkuhl, P. Ghose & Harvey Brown, Einstein, the Reality of Space, and the Action-Reaction Principle.
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  44. added 2015-04-06
    Andrew Wutke, The Apparent Nature of Relative Simultaneity.
    This paper presents the proof of the apparent nature of relative simultaneity originally derived from Einstein’s Special Theory of Relativity (STR). The proof does not challenge the validity of the STR but uncovers fundamental and widespread error in understanding of practical implications of Lorentz transformations. It is demonstrated that more than a century long debates generally miss the point. This results in counterintuitive claims of coexisting multiple time realities by mere equivalence of equal clock indications and simultaneity. Such claims have (...)
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  45. added 2015-04-06
    Nick Huggett & Tiziana Vistarini (forthcoming). Deriving General Relativity From String Theory. .
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  46. added 2015-04-06
    Gregg Jaeger (forthcoming). Measurement and Fundamental Processes in Quantum Mechanics. Foundations of Physics:1-14.
    In the standard mathematical formulation of quantum mechanics, measurement is an additional, exceptional fundamental process rather than an often complex, but ordinary process which happens also to serve a particular epistemic function: during a measurement of one of its properties which is not already determined by a preceding measurement, a measured system, even if closed, is taken to change its state discontinuously rather than continuously as is usual. Many, including Bell, have been concerned about the fundamental role thus given to (...)
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  47. added 2015-04-06
    Michael Downward (forthcoming). Symmetry and Representation in a Three Dimensional Space. Foundations of Chemistry:1-13.
    Schoenflies point groups are presented in terms of spatial partitions and Laue classes based on abstract groups. A much simpler system using only a minimal set of generators for three dimensional groups is then presented in the same form. This simplified treatment allows group operations of a given Laue class to be correlated to a greatly simplified Mulliken-style notation for irreducible representations of that class. Transformation matrix representations of point groups in the simplified style can then be manipulated according to (...)
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  48. added 2015-04-06
    David W. Dreisigmeyer & Peter M. Young (2015). Nonconservative Lagrangian Mechanics: Purely Causal Equations of Motion. Foundations of Physics 45 (6):661-672.
    This work builds on the Volterra series formalism presented in Dreisigmeyer and Young to model nonconservative systems. Here we treat Lagrangians and actions as ‘time dependent’ Volterra series. We present a new family of kernels to be used in these Volterra series that allow us to derive a single retarded equation of motion using a variational principle.
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  49. added 2015-04-06
    John Preston (2015). Logical Space and Phase-Space. In Annalisa Coliva, Volker Munz & Danièle Moyal-Sharrock (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. De Gruyter. 35-44.
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  50. added 2015-04-06
    P. Lederer (2015). The Quantum Hall Effects: Philosophical Approach. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 50:25-42.
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