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  1. Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space.Robert Bishop - manuscript
    This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes rigged Hilbert space (whereas the older approach used Hilbert space). While the emphasis on nonequilibrium statistical mechanics remains the same, the use of similarity transformations shifts to the background. In its place arose an interest in the physical features of large Poincaré systems, (...)
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  2. Quantum Mereology: Factorizing Hilbert Space Into Subsystems with Quasi-Classical Dynamics.Sean M. Carroll & Ashmeet Singh - manuscript
    We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into "system" and "environment." Such a decomposition can be defined by looking for subsystems that exhibit quasi-classical behavior. The correct decomposition is one in which pointer states of the system are relatively robust against environmental monitoring (their entanglement with the environment does not continually and dramatically increase) and remain (...)
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  3. The Verdict is Out: Against the Internal View of the Gauge/Gravity Duality.Eugene Chua - manuscript
    [To be presented at PSA 2018] -/- The gauge/gravity duality and its relation to the possible emergence of gravity from quantum physics has been much discussed. Recently, however, Sebastian De Haro has argued that the very notion of a duality precludes emergence, given what he calls the internal view of dualities, on which the dual theories are physically equivalent. However, I argue that De Haro's argument for the internal view is not convincing, and we do not have good reasons to (...)
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  4. Partitions and Objective Indefiniteness.David Ellerman - manuscript
    Classical physics and quantum physics suggest two meta-physical types of reality: the classical notion of a objectively definite reality with properties "all the way down," and the quantum notion of an objectively indefinite type of reality. The problem of interpreting quantum mechanics (QM) is essentially the problem of making sense out of an objectively indefinite reality. These two types of reality can be respectively associated with the two mathematical concepts of subsets and quotient sets (or partitions) which are category-theoretically dual (...)
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  5. QBism, the Perimeter of Quantum Bayesianism.Christopher A. Fuchs - manuscript
    This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon the tools of quantum information theory, and most recently, has set out to investigate whether the physical world might be of a type sketched by some false-started philosophies of 100 years ago (pragmatism, pluralism, nonreductionism, and meliorism). Beyond conceptual issues, work at Perimeter Institute is focused on (...)
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  6. On an Intrinsic Quantum Theoretical Structure Inside Einstein's Gravity Field Equations.Han Geurdes - manuscript
    As is well known, Einstein was dissatisfied with the foundation of quantum theory and sought to find a basis for it that would have satisfied his need for a causal explanation. In this paper this abandoned idea is investigated. It is found that it is mathematically not dead at all. More in particular: a quantum mechanical U(1) gauge invariant Dirac equation can be derived from Einstein's gravity field equations. We ask ourselves what it means for physics, the history of physics (...)
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  7. On an Intrinsic Quantum Theoretical Structure Inside Einstein's Gravity Field Equations.J. F. Geurdes - manuscript
  8. Matters of Time Directionality in Quantum Physics.Jean-Christophe Lindner - manuscript
    This is the second of two reports concerning the issue of time directionality in fundamental theoretical physics. Here a fresh perspective is offered on several aspects of the problem of the interpretation of quantum theory which centers around a reconsideration of the significance of the requirement of time reversal symmetry. Following a critical review of early time-symmetric formulations of quantum mechanics, it is argued that a more consistent approach must overcome the contradictions of the orthodox interpretation that follow from its (...)
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  9. Systems with Single Degree of Freedom and the Interpretation of Quantum Mechanics.Mehran Shaghaghi - manuscript
    Physical systems can store information and their informational properties are governed by the laws of information. In particular, the amount of information that a physical system can convey is limited by the number of its degrees of freedom and their distinguishable states. Here we explore the properties of the physical systems with absolutely one degree of freedom. The central point in these systems is the tight limitation on their information capacity. Discussing the implications of this limitation we demonstrate that such (...)
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  10. The Communicational Properties of Single Photons Explain Their Strange Behavior in the Double-Slit Experiment.Mehran Shaghaghi - manuscript
    Simultaneous observation of the wave-like and particle-like aspects of the photon in the double-slit experiment is unallowed. The underlying reason behind this limitation is not understood. In this paper, we explain this unique behavior by considering the communicational properties of the photons. Photons have three independently adjustable properties (energy, direction, and spin) that can be used to communicate messages. The double-slit experiment setup fixes two of these properties and confines the single photon’s capacity for conveying messages to no more than (...)
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  11. Idealization and Structural Explanation in Physics.Martin King - 2014
  12. Quantum Mechanics in Multiply-Connected Spaces.Sheldon Goldstein, D. Dürr, J. Taylor, R. Tumulka & and N. Zanghì - manuscript
    J. Phys. A, to appear, quant-ph/0506173.
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  13. Reconsideration of Quantum Foundations. Vaxjo University Conference ,15-18 June –2009 : A Clifford Algebraic Analysis and Explanation of Wave Function Reduction in Quantum Mechanics. [REVIEW]Elio Conte - forthcoming - In Vaxio University -Sweeden (ed.), Proceedings Vaxjo Conference on Foundations of quantum mechanics.
  14. A Reformulation of von Neumann's Postulates on Quantum Measurement by Using.Elio Conte - forthcoming - Submitted Physical Review A.
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  15. Quantum Mechanics Over Sets.David Ellerman - forthcoming - Synthese.
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...)
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  16. Unificatory Power in the Old Quantum Theory: Informational Relevance of the Quantum Hypothesis.Molly Kao - forthcoming - Philosophy of Science.
  17. On the categoricity of quantum mechanics.Iulian D. Toader - 2021 - European Journal for Philosophy of Science 11 (1):1-14.
    The paper offers an argument against an intuitive reading of the Stone-von Neumann theorem as a categoricity result, thereby pointing out that this theorem does not entail any model-theoretical difference between the theories that validate it and those that don't.
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  18. Scientific Realism Without the Wave-Function: An Example of Naturalized Quantum Metaphysics.Valia Allori - 2020 - In Juha Saatsi & Steven French (eds.), Scientific Realism and the Quantum. Oxford University Press.
    Scientific realism is the view that our best scientific theories can be regarded as (approximately) true. This is connected with the view that science, physics in particular, and metaphysics could (and should) inform one another: on the one hand, science tells us what the world is like, and on the other hand, metaphysical principles allow us to select between the various possible theories which are underdetermined by the data. Nonetheless, quantum mechanics has always been regarded as, at best, puzzling, if (...)
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  19. Cognition According to Quantum Information: Three Epistemological Puzzles Solved.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (20):1-15.
    The cognition of quantum processes raises a series of questions about ordering and information connecting the states of one and the same system before and after measurement: Quantum measurement, quantum in-variance and the non-locality of quantum information are considered in the paper from an epistemological viewpoint. The adequate generalization of ‘measurement’ is discussed to involve the discrepancy, due to the fundamental Planck constant, between any quantum coherent state and its statistical representation as a statistical ensemble after measurement. Quantum in-variance designates (...)
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  20. Maxwell’s Demon in Quantum Mechanics.Orly Shenker & Meir Hemmo - 2020 - Entropy 22 (3):269.
    Maxwell’s Demon is a thought experiment devised by J. C. Maxwell in 1867 in order to show that the Second Law of thermodynamics is not universal, since it has a counter-example. Since the Second Law is taken by many to provide an arrow of time, the threat to its universality threatens the account of temporal directionality as well. Various attempts to “exorcise” the Demon, by proving that it is impossible for one reason or another, have been made throughout the years, (...)
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  21. Persistence and Nonpersistence as Complementary Models of Identical Quantum Particles.Philip Goyal - 2019 - New Journal of Physics 21.
    According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified across time by observation of their distinctive properties. This understanding is reflected in classical mechanics, which posits that matter consists of persistent, reidentifiable particles. However, the mathematical symmetrization procedures used to describe identical particles within the quantum formalism have led to the widespread belief that identical quantum particles lack either persistence or reidentifiability. However, it has proved difficult to reconcile these (...)
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  22. Probing Finite Coarse-Grained Virtual Feynman Histories with Sequential Weak Values.Danko D. Georgiev & Eliahu Cohen - 2018 - Physical Review A 97 (5):052102.
    Feynman's sum-over-histories formulation of quantum mechanics has been considered a useful calculational tool in which virtual Feynman histories entering into a coherent quantum superposition cannot be individually measured. Here we show that sequential weak values, inferred by consecutive weak measurements of projectors, allow direct experimental probing of individual virtual Feynman histories, thereby revealing the exact nature of quantum interference of coherently superposed histories. Because the total sum of sequential weak values of multitime projection operators for a complete set of orthogonal (...)
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  23. Concept and Formalization of Constellatory Self-Unfolding: A Novel Perspective on the Relation Between Quantum and Relativistic Physics.Albrecht Von Müller & Elias Zafiris - 2018 - Springer.
    This volume develops a fundamentally different categorical framework for conceptualizing time and reality. The actual taking place of reality is conceived as a “constellatory self-unfolding” characterized by strong self-referentiality and occurring in the primordial form of time, the not yet sequentially structured “time-space of the present.” Concomitantly, both the sequentially ordered aspect of time and the factual aspect of reality appear as emergent phenomena that come into being only after reality has actually taken place. In this new framework, time functions (...)
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  24. Configuration Symmetry.Ilexa Yardley - 2018 - Https://Medium.Com/the-Circular-Theory/.
    Noether's Theorem produces the configuration (and symmetry) for everything in Nature.
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  25. An Empirical Route to Logical 'Conventionalism'.Eugene Chua - 2017 - In Alexandru Baltag, Jeremy Seligman & Tomoyuki Yamada (eds.), Logic, Rationality, and Interaction. LORI 2017. Lecture Notes in Computer Science, vol 10455. Berlin, Heidelberg: Springer. pp. 631-636.
    The laws of classical logic are taken to be logical truths, which in turn are taken to hold objectively. However, we might question our faith in these truths: why are they true? One general approach, proposed by Putnam [8] and more recently Dickson [3] or Maddy [5], is to adopt empiricism about logic. On this view, logical truths are true because they are true of the world alone – this gives logical truths an air of objectivity. Putnam and Dickson both (...)
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  26. Quantum Mechanics Over Sets: A Pedagogical Model with Non-Commutative Finite Probability Theory as its Quantum Probability Calculus.David Ellerman - 2017 - Synthese (12):4863-4896.
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...)
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  27. The Physics and Metaphysics of Primitive Stuff.Michael Esfeld, Dustin Lazarovici, Vincent Lam & Mario Hubert - 2017 - British Journal for the Philosophy of Science 68 (1):133-61.
    The article sets out a primitive ontology of the natural world in terms of primitive stuff—that is, stuff that has as such no physical properties at all—but that is not a bare substratum either, being individuated by metrical relations. We focus on quantum physics and employ identity-based Bohmian mechanics to illustrate this view, but point out that it applies all over physics. Properties then enter into the picture exclusively through the role that they play for the dynamics of the primitive (...)
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  28. De Sitter Space Without Dynamical Quantum Fluctuations.Kimberly K. Boddy, Sean M. Carroll & Jason Pollack - 2016 - Foundations of Physics 46 (6):702-735.
    We argue that, under certain plausible assumptions, de Sitter space settles into a quiescent vacuum in which there are no dynamical quantum fluctuations. Such fluctuations require either an evolving microstate, or time-dependent histories of out-of-equilibrium recording devices, which we argue are absent in stationary states. For a massive scalar field in a fixed de Sitter background, the cosmic no-hair theorem implies that the state of the patch approaches the vacuum, where there are no fluctuations. We argue that an analogous conclusion (...)
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  29. Chasing Individuation: Mathematical Description of Physical Systems.Zalamea Federico - 2016 - Dissertation, Paris Diderot University
    This work is a conceptual analysis of certain recent developments in the mathematical foundations of Classical and Quantum Mechanics which have allowed to formulate both theories in a common language. From the algebraic point of view, the set of observables of a physical system, be it classical or quantum, is described by a Jordan-Lie algebra. From the geometric point of view, the space of states of any system is described by a uniform Poisson space with transition probability. Both these structures (...)
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  30. On the Notion of Truth in Quantum Mechanics: A Category-Theoretic Standpoint.Vassilios Karakostas & Elias Zafiris - 2016 - In Diederik Aerts, Christian de Ronde, Hector Freytes & Roberto Giuntini (eds.), Probing the Meaning and Structure of Quantum Mechanics: Semantics, Dynamics and Identity. World Scientific. pp. 1-43.
    The category-theoretic representation of quantum event structures provides a canonical setting for confronting the fundamental problem of truth valua- tion in quantum mechanics as exemplified, in particular, by Kochen-Specker’s theorem. In the present study, this is realized on the basis of the existence of a categorical adjunction between the category of sheaves of variable local Boolean frames, constituting a topos, and the category of quantum event al- gebras. We show explicitly that the latter category is equipped with an object of (...)
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  31. Loops, Projective Invariants, and the Realization of the Borromean Topological Link in Quantum Mechanics.Elias Zafiris - 2016 - Quantum Studies: Mathematics and Foundations 3 (4):337-359.
    All the typical global quantum mechanical observables are complex relative phases obtained by interference phenomena. They are described by means of some global geometric phase factor, which is thought of as the “memory” of a quantum system undergoing a “cyclic evolution” after coming back to its original physical state. The origin of a geometric phase factor can be traced to the local phase invariance of the transition probability assignment in quantum mechanics. Beyond this invariance, transition probabilities also remain invariant under (...)
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  32. Quantum Mechanics and Paradigm Shifts.Valia Allori - 2015 - Topoi 34 (2):313-323.
    It has been argued that the transition from classical to quantum mechanics is an example of a Kuhnian scientific revolution, in which there is a shift from the simple, intuitive, straightforward classical paradigm, to the quantum, convoluted, counterintuitive, amazing new quantum paradigm. In this paper, after having clarified what these quantum paradigms are supposed to be, I analyze whether they constitute a radical departure from the classical paradigm. Contrary to what is commonly maintained, I argue that, in addition to radical (...)
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  33. Spin-Statistics Connection for Relativistic Quantum Mechanics.A. F. Bennett - 2015 - Foundations of Physics 45 (4):370-381.
    The spin-statistics connection has been proved for nonrelativistic quantum mechanics . The proof is extended here to the relativistic regime using the parametrized Dirac equation. A causality condition is not required.
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  34. Relations Between Different Notions of Degrees of Freedom of a Quantum System and Its Classical Model.Nikola Burić - 2015 - Foundations of Physics 45 (3):253-278.
    There are at least three different notions of degrees of freedom that are important in comparison of quantum and classical dynamical systems. One is related to the type of dynamical equations and inequivalent initial conditions, the other to the structure of the system and the third to the properties of dynamical orbits. In this paper, definitions and comparison in classical and quantum systems of the tree types of DF are formulated and discussed. In particular, we concentrate on comparison of the (...)
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  35. Conservation of Information and the Foundations of Quantum Mechanics.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPJ Web of Conferences 95:03003.
    We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic information-theoretic features. We first illustrate two very primitive features, expressed by the axioms of causality and purity-preservation, which are satisfied by both classical and quantum theory. We then discuss the axiom of purification, which expresses a strong version of the Conservation of Information (...)
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  36. Entanglement and Thermodynamics in General Probabilistic Theories.Giulio Chiribella & Carlo Maria Scandolo - 2015 - New Journal of Physics 17:103027.
    Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification between entropies and measures of pure state entanglement. Here we search for the roots of this connection, investigating the relation between entanglement and thermodynamics in the framework of general probabilistic theories. We first address the question whether an entangled state can be transformed into another by (...)
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  37. Operational Axioms for Diagonalizing States.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPTCS 195:96-115.
    In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous role in quantum mechanics, quantum information theory, and quantum statistical mechanics, where it provides the foundation for the notions of majorization and entropy. A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of axioms that guarantee that (...)
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  38. ‘Shut Up and Contemplate!’: Lucien Hardy׳s Reasonable Axioms for Quantum Theory.Olivier Darrigol - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):328-342.
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  39. Quantum Potential Energy as Concealed Motion.Peter Holland - 2015 - Foundations of Physics 45 (2):134-141.
    It is known that the Schrödinger equation may be derived from a hydrodynamic model in which the Lagrangian position coordinates of a continuum of particles represent the quantum state. Using Routh’s method of ignorable coordinates it is shown that the quantum potential energy of particle interaction that represents quantum effects in this model may be regarded as the kinetic energy of additional ‘concealed’ freedoms. The method brings an alternative perspective to Planck’s constant, which plays the role of a hidden variable, (...)
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  40. Dynamical Correspondence in a Generalized Quantum Theory.Gerd Niestegge - 2015 - Foundations of Physics 45 (5):525-534.
    In order to figure out why quantum physics needs the complex Hilbert space, many attempts have been made to distinguish the C*-algebras and von Neumann algebras in more general classes of abstractly defined Jordan algebras . One particularly important distinguishing property was identified by Alfsen and Shultz and is the existence of a dynamical correspondence. It reproduces the dual role of the selfadjoint operators as observables and generators of dynamical groups in quantum mechanics. In the paper, this concept is extended (...)
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  41. Time and Quantum Theory: A History and a Prospectus.Thomas Pashby - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part A):24-38.
    In this paper I am concerned with analyzing in detail how ideas and expectations regarding the role of time in quantum theory arose and evolved in the early years of quantum mechanics. The general theme is that expectations which seemed reasonable from the point of view of matrix mechanics and Dirac's q-number formalism became implausible in light of Dirac-Jordan transformation theory, and were dashed by von Neumann's Hilbert space formalism which came to replace it. Nonetheless, I will identify two concerns (...)
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  42. The Nature of Local/Global Distinctions, Group Actions and Phases: A Sheaf=Theoretic Approach to Quantum Geometric Spectra.Elias Zafiris - 2015 - In Vera Bühlmann, Ludger Hovestadt & Vahid Moosavi (eds.), Coding as Literacy - Metalithicum IV. Basel: BIRKHÄUSER. pp. 172-186.
  43. On Discrete Physics: A Perfect Deterministic Structure for Reality – and "A Direct Logical Derivation of the Fundamental Laws of Nature".Ramin [A.] Zahedi - 2015 - CERN Document, Geneva, Switzerland, Record:1980381, PP. 11-99; Paris-Sorbonne University Publs., CCSD/CNRS-Record:01547739, PP. 11-99.
    Why do the fundamental forces of nature (i.e., the forces that appear to cause all the movements and interactions in the universe) manifest in the way, shape, and form that they do? This is one of the greatest ontological questions that science can investigate. In this article, we are going to consider this crucial question (and relevant issues) via a new axiomatic mathematical formalism. -/- In Part I (pp. 1-10) of this article we provide a general overview (and analysis) of (...)
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  44. The Mathematical Description of a Generic Physical System.Federico Zalamea - 2015 - Topoi 34 (2):339-348.
    When dealing with a certain class of physical systems, the mathematical characterization of a generic system aims to describe the phase portrait of all its possible states. Because they are defined only up to isomorphism, the mathematical objects involved are “schematic structures”. If one imposes the condition that these mathematical definitions completely capture the physical information of a given system, one is led to a strong requirement of individuation for physical states. However, we show there are not enough qualitatively distinct (...)
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  45. Beyond and Behind Hilbert Spaces: Interpreting Quantum Theories Via Mathematical Advances: Hans Halvorson : Deep Beauty: Understanding the Quantum World Through Mathematical Innovation. Cambridge: Cambridge University Press, 2011, 486pp, $105.00. [REVIEW]Aristidis Arageorgis - 2014 - Metascience 23 (1):71-77.
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  46. Local Tomography and the Jordan Structure of Quantum Theory.Howard Barnum & Alexander Wilce - 2014 - Foundations of Physics 44 (2):192-212.
    Using a result of H. Hanche-Olsen, we show that (subject to fairly natural constraints on what constitutes a system, and on what constitutes a composite system), orthodox finite-dimensional complex quantum mechanics with superselection rules is the only non-signaling probabilistic theory in which (i) individual systems are Jordan algebras (equivalently, their cones of unnormalized states are homogeneous and self-dual), (ii) composites are locally tomographic (meaning that states are determined by the joint probabilities they assign to measurement outcomes on the component systems) (...)
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  47. Classical Interpretation of a Deformed Quantum Oscillator.J. Batouli & M. El Baz - 2014 - Foundations of Physics 44 (2):105-113.
    Following the same procedure that allowed Shcrödinger to construct the (canonical) coherent states in the first place, we investigate on a possible classical interpretation of the deformed harmonic oscillator. We find that, these oscillator, also called q-oscillators, can be interpreted as quantum versions of classical forced oscillators with a modified q-dependant frequency.
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  48. Review Of: Christopher G. Timpson, Quantum Information Theory and the Foundations of Quantum Mechanics. [REVIEW]Michael E. Cuffaro - 2014 - Philosophy of Science 81 (4):681-684,.
  49. Non-Reflexive Logical Foundation for Quantum Mechanics.Newton C. A. da Costa & Christian de Ronde - 2014 - Foundations of Physics 44 (12):1369-1380.
    On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze (...)
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  50. Berry Phase and Quantum Structure.Holger Lyre - 2014 - Studies in History and Philosophy of Modern Physics 48:45-51.
    The paper aims to spell out the relevance of the Berry phase in view of the question what the minimal mathematical structure is that accounts for all observable quantum phenomena. The question is both of conceptual and of ontological interest. While common wisdom tells us that the quantum structure is represented by the structure of the projective Hilbert space, the appropriate structure rich enough to account for the Berry phase is the U(1) bundle over that projective space. The Berry phase (...)
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1 — 50 / 462