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  1. added 2019-01-28
    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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  2. added 2019-01-28
    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.
  3. added 2019-01-28
    Boolean Information Sieves: A Local-to-Global Approach to Quantum Information.Elias Zafiris - 2010 - International Journal of General Systems 39 (8):873-895.
    We propose a sheaf-theoretic framework for the representation of a quantum observable structure in terms of Boolean information sieves. The algebraic representation of a quantum observable structure in the relational local terms of sheaf theory effectuates a semantic transition from the axiomatic set-theoretic context of orthocomplemented partially ordered sets, la Birkhoff and Von Neumann, to the categorical topos-theoretic context of Boolean information sieves, la Grothendieck. The representation schema is based on the existence of a categorical adjunction, which is used as (...)
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  4. added 2019-01-28
    Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations.Elias Zafiris - 2007 - International Journal of Theoretical Physics 46 (2):319-382.
    We construct a sheaf-theoretic representation of quantum observables algebras over a base category equipped with a Grothendieck topology, consisting of epimorphic families of commutative observables algebras, playing the role of local arithmetics in measurement situations. This construction makes possible the adaptation of the methodology of Abstract Differential Geometry (ADG), à la Mallios, in a topos-theoretic environment, and hence, the extension of the “mechanism of differentials” in the quantum regime. The process of gluing information, within diagrams of commutative algebraic localizations, generates (...)
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  5. added 2019-01-28
    Generalized Topological Covering Systems on Quantum Events' Structures.Elias Zafiris - 2006 - Journal of Physics A: Mathematics and Applications 39 (6):1485-1505.
    Homologous operational localization processes are effectuated in terms of generalized topological covering systems on structures of physical events. We study localization systems of quantum events' structures by means of Gtothendieck topologies on the base category of Boolean events' algebras. We show that a quantum events algebra is represented by means of a Grothendieck sheaf-theoretic fibred structure, with respect to the global partial order of quantum events' fibres over the base category of local Boolean frames.
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  6. added 2019-01-28
    Sheaf-Theoretic Representation of Quantum Measure Algebras.Elias Zafiris - 2006 - Journal of Mathematical Physics 47 (9).
    We construct a sheaf-theoretic representation of quantum probabilistic structures, in terms of covering systems of Boolean measure algebras. These systems coordinatize quantum states by means of Boolean coefficients, interpreted as Boolean localization measures. The representation is based on the existence of a pair of adjoint functors between the category of presheaves of Boolean measure algebras and the category of quantum measure algebras. The sheaf-theoretic semantic transition of quantum structures shifts their physical significance from the orthoposet axiomatization at the level of (...)
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  7. added 2019-01-28
    Interpreting Observables in a Quantum World From the Categorial Standpoint.Elias Zafiris - 2004 - International Journal of Theoretical Physics 43 (1):265-298.
    We develop a relativistic perspective on structures of quantum observables, in terms of localization systems of Boolean coordinatizing charts. This perspective implies that the quantum world is comprehended via Boolean reference frames for measurement of observables, pasted together along their overlaps. The scheme is formalized categorically, as an instance of the adjunction concept. The latter is used as a framework for the specification of a categorical equivalence signifying an invariance in the translational code of communication between Boolean localizing contexts and (...)
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  8. added 2019-01-28
    On Quantum Event Structures. II. Interpretational Aspects.Elias Zafiris - 2001 - Foundations Of Physics Letters 14 (2):167-177.
    In this paper we analyze the physical semantics and propose an interpretation of quantum event structures from the perspective offered by the categorical scheme of Part I.
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  9. added 2019-01-28
    Probing Quantum Structure with Boolean Localization Systems.Elias Zafiris - 2000 - International Journal of Theoretical Physics 39 (12):2761-2778.
    In an attempt to probe the objects belonging to the quantum species of structure,we develop the idea of using observables of the Boolean species of structures,as coordinatizing objects in the quantum world. This results in a contextualisticperspective on the latter through local Boolean measurement reference frames.The semantics of this representation is discussed extensively.
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  10. added 2019-01-27
    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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  11. added 2019-01-27
    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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  12. added 2019-01-23
    Scientific Realism Without the Wave-Function: An Example of Naturalized Quantum Metaphysics.Valia Allori - 2019 - 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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  13. added 2018-09-01
    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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  14. added 2018-05-22
    Derivation of the Quantum Mechanical Momentum Operator in the Position Representation.Ryan Reece - manuscript
    I pedagogically show that the momentum operator in quantum mechanics, in the position representation, commonly known to be a derivative with respect to a spatial x-coordinate, can be derived by identifying momentum as the generator of space translations.
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  15. added 2018-05-11
    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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  16. added 2018-05-03
    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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  17. added 2018-02-18
    John von Neumann's Mathematical “Utopia” in Quantum Theory.Giovanni Valente - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):860-871.
    This paper surveys John von Neumann's work on the mathematical foundations of quantum theories in the light of Hilbert's Sixth Problem concerning the geometrical axiomatization of physics. We argue that in von Neumann's view geometry was so tied to logic that he ultimately developed a logical interpretation of quantum probabilities. That motivated his abandonment of Hilbert space in favor of von Neumann algebras, specifically the type II1II1 factors, as the proper limit of quantum mechanics in infinite dimensions. Finally, we present (...)
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  18. added 2018-02-18
    On the Explanation for Quantum Statistics.Simon Saunders - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (1):192-211.
    The concept of classical indistinguishability is analyzed and defended against a number of well-known criticisms, with particular attention to the Gibbs’paradox. Granted that it is as much at home in classical as in quantum statistical mechanics, the question arises as to why indistinguishability, in quantum mechanics but not in classical mechanics, forces a change in statistics. The answer, illustrated with simple examples, is that the equilibrium measure on classical phase space is continuous, whilst on Hilbert space it is discrete. The (...)
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  19. added 2018-02-18
    Why John von Neumann Did Not Like the Hilbert Space Formalism of Quantum Mechanics (and What He Liked Instead).Miklos Rédei - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (4):493-510.
  20. added 2018-02-16
    Operation Quantum Physics.Gordon N. Fleming - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (1):117-125.
  21. added 2017-09-19
    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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  22. added 2017-02-15
    Time and Quantum Theory: A History and A Prospectus.Thomas Pashby - 2013 - Studies in the History and Philosophy of Modern Physics.
    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 (from 1925-27). 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 (...)
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  23. added 2017-02-14
    Three Attempts at Two Axioms for Quantum Mechanics.Daniel Rohrlich - 2012 - In Yemima Ben-Menahem & Meir Hemmo (eds.), Probability in Physics. Springer. pp. 187--200.
  24. added 2017-02-14
    Unitarity as Preservation of Entropy and Entanglement in Quantum Systems.Florian Hulpke, Uffe V. Poulsen, Anna Sanpera, Aditi Sen De, Ujjwal Sen & Maciej Lewenstein - 2006 - Foundations of Physics 36 (4):477-499.
  25. added 2017-02-11
    Relativistic Quantum Mechanics as a Telegraph.O. Costa de Beauregard - 2001 - Foundations of Physics 31 (5):837-848.
    A derivation by Fröhner of non-relativistic quantum mechanics via Fourier analysis applied to probability theory is not extendable to relativistic quantum mechanics because Schrödinger's positive definite probability density ψ*ψ is lost (Dirac's spin 1/2 case being the exception). The nature of the Fourier link then changes; it points to a redefinition of the probability scheme as an information carrying telegraph, the code of which is Born's as extended by Dirac and by Feynman. Hermitian symmetry of the transition amplitude 〈ϕ∣ψ〉 between (...)
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  26. added 2017-02-11
    Foundations of Quantum Theory. Part 2.H. Krips - 1974 - Foundations of Physics 4 (3):381-394.
    The axioms for the density operator in quantum mechanics are discussed. A comparison is made with an axiomatization based on Gleason's theorem.
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  27. added 2017-02-02
    GRW Theory.Roman Frigg - manuscript
    Ψ and out corresponding to the marble being inside or outside the box. These states are eigenvectors of the operator Bˆ , measuring whether the marble is inside or outside the box. The formalism of quantum mechanics..
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  28. added 2017-02-01
    Elementary Particles, Hidden Variables, and Hidden Predicates.Adonai S. Sant'anna - 2000 - Synthese 125 (1-2):233 - 245.
    We recently showed that it is possible to deal withcollections of indistinguishable elementary particles (in thecontext of quantum mechanics) in a set-theoretical framework, byusing hidden variables. We propose in the presentpaper another axiomatics for collections of indiscernibleswithout hidden variables, where hidden predicates are implicitlyassumed. We also discuss the possibility of a quasi-settheoretical picture for quantum theory. Quasi-set theory, basedon Zermelo-Fraenkel set theory, was developed for dealing withcollections of indistinguishable, but, not identical objects.
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  29. added 2017-02-01
    A Constructive Formulation of Gleason's Theorem.Helen Billinge - 1997 - Journal of Philosophical Logic 26 (6):661-670.
    In this paper I wish to show that we can give a statement of a restricted form of Gleason's Theorem that is classically equivalent to the standard formulation, but that avoids the counterexample that Hellman gives in "Gleason's Theorem is not Constructively Provable".
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  30. added 2017-01-24
    Nine-Vectors, Complex Octonion/Quaternion Hypercomplex Numbers, Lie Groups, and the 'Real' World.James D. Edmonds - 1978 - Foundations of Physics 8 (3-4):303-311.
    A “mental” multiplication scheme is given for the super hypercomplex numbers, which extend the 16-element Dirac algebra to 32 elements by appending the complex octonions. This extends the 5-vectors of relativity to 9-vectors. The problems with nonassociativity, for the group structures and wave equation covariance, are explored.
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  31. added 2017-01-23
    Beyond and Behind Hilbert Spaces: Interpreting Quantum Theories Via Mathematical Advances. [REVIEW]Aristidis Arageorgis - 2014 - Metascience 23 (1):71-77.
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  32. added 2017-01-19
    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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  33. added 2017-01-19
    The Explanatory Power of Phase Spaces.Aidan Lyon & Mark Colyvan - 2008 - Philosophia Mathematica 16 (2):227-243.
    David Malament argued that Hartry Field's nominalisation program is unlikely to be able to deal with non-space-time theories such as phase-space theories. We give a specific example of such a phase-space theory and argue that this presentation of the theory delivers explanations that are not available in the classical presentation of the theory. This suggests that even if phase-space theories can be nominalised, the resulting theory will not have the explanatory power of the original. Phase-space theories thus raise problems for (...)
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  34. added 2017-01-19
    A Theory of Concepts and Their Combinations II: A Hilbert Space Representation.Diederik Aerts & Liane Gabora - 2005 - Philosophical Explorations.
    The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogonal projections. The way calculations are done in Hilbert space makes it possible to model how context influences the state of a concept. Moreover, a solution to the combination of concepts is proposed. Using the tensor product, a procedure for describing combined concepts is elaborated, providing a natural solution to (...)
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  35. added 2017-01-19
    Gauge- and Galilei-Invariant Geometric Phases.Guido Bacciagaluppi - unknown
    Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge transformations and Galilei transformations. (This was pointed out originally by Aharonov and Anandan, and in the case of Galilei transformations has recently been shown explicitly by Sjoeqvist, Brown and Carlsen.) In this paper, I introduce a phase, related to the standard geometric phase, for which phase differences are both gauge- and Galilei-invariant, and, indeed, invariant under (...)
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  36. added 2017-01-19
    Is Quantization Really Necessary?M. Sachs - 1970 - British Journal for the Philosophy of Science 21 (4):359-370.
  37. added 2017-01-18
    Brussels-Austin Nonequilibrium Statistical Mechanics: Large Poincar´E Systems and Rigged Hilbert Space.Harald Atmanspacher - manuscript
    The fundamental problem on which Ilya Prigogine and the Brussels- Austin Group have focused can be stated briefly as follows. Our observations indicate that there is an arrow of time in our experience of the world (e.g., decay of unstable radioactive atoms like Uranium, or the mixing of cream in coffee). Most of the fundamental equations of physics are time reversible, however, presenting an apparent conflict between our theoretical descriptions and experimental observations. Many have thought that the observed arrow of (...)
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  38. added 2017-01-18
    The Leibniz Project.David Finkelstein - 1977 - Journal of Philosophical Logic 6 (1):425 - 439.
    A language for quantum physics is derived from set theory by replacing the classical predicate algebra (Boolean) by a certain quantum predicate algebra (rational projective), time space and the Hamilton-Schroedinger dynamics by a Feynman-like graph dynamics, and the Dirac spin operators by topological switching operators on the graph. The development is described from the basic level of elementary monadic processes to the level of the free Dirac equation.
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  39. added 2017-01-17
    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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  40. added 2017-01-15
    ‘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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  41. added 2017-01-14
    Hilbert Space Quantum Mechanics is Contextual.Christian de Ronde - unknown
    In a recent paper Griffiths [38] has argued, based on the consistent histories interpretation, that Hilbert space quantum mechanics is noncontextual. According to Griffiths the problem of contextuality disappears if the apparatus is “designed and operated by a competent experimentalist” and we accept the Single Framework Rule. We will argue from a representational realist stance that the conclusion is incorrect due to the misleading understanding provided by Griffiths to the meaning of quantum contextuality and its relation to physical reality and (...)
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  42. added 2017-01-14
    Mind Your P's and Q's: Von Neumann Versus Jordan on the Foundations of Quantum Theory.Anthony Duncan & Michel Janssen - unknown
    In early 1927, Pascual Jordan published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von Neumann published the modern Hilbert space formalism of quantum mechanics. Central to both formalisms are expressions for conditional probabilities of finding some value for one quantity given the value of another. Beyond that Jordan and von Neumann had very different views about the appropriate formulation of problems in the new (...)
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  43. added 2017-01-14
    Constructibility in Quantum Mechanics.David Jacob BenDaniel - unknown
    CONSTRUCTIBILITY IN QUANTUM MECHANICS D.J. BENDANIEL Cornell University Ithaca NY, 14853, USA We pursue an approach in which space-time proves to be relational and its differential properties fulfill the strict requirements of Einstein-Weyl causality. Space-time emerges here from a set theoretical foundation for a constructible mathematics. In this theory the Schrödinger equation can be obtained by adjoining a physical postulate of action symmetry in generalized wave phenomena. This result now allows quantum mechanics to be considered conceptually cumulative with prior physics. (...)
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  44. added 2016-12-12
    Transitions to the Continuum: Three Different Approaches.M. E. Burgos - 2008 - Foundations of Physics 38 (10):883-907.
    We present three different derivations of the transition probabilities to the continuum. It is shown that calculations, performed as a direct application of the postulates of orthodox quantum mechanics (OQM), do not yield results consistent with experiments. Traditional treatments are summarized and criticized. The relation of the transitions to the continuum with the traditional quantum measurement problem is pointed out; we sum up and comment some contributions concerning this issue. It is shown that an approach based on the notion of (...)
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  45. added 2016-12-08
    Essential Self-Adjointness: Implications for Determinism and the Classical–Quantum Correspondence.John Earman - 2009 - Synthese 169 (1):27-50.
    It is argued that seemingly “merely technical” issues about the existence and uniqueness of self-adjoint extensions of symmetric operators in quantum mechanics have interesting implications for foundations problems in classical and quantum physics. For example, pursuing these technical issues reveals a sense in which quantum mechanics can cure some of the forms of indeterminism that crop up in classical mechanics; and at the same time it reveals the possibility of a form of indeterminism in quantum mechanics that is quite distinct (...)
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  46. added 2016-12-08
    Physics and the Measurement of Continuous Variables.R. N. Sen - 2008 - Foundations of Physics 38 (4):301-316.
    This paper addresses the doubts voiced by Wigner about the physical relevance of the concept of geometrical points by exploiting some facts known to all but honored by none: Almost all real numbers are transcendental; the explicit representation of any one will require an infinite amount of physical resources. An instrument devised to measure a continuous real variable will need a continuum of internal states to achieve perfect resolution. Consequently, a laboratory instrument for measuring a continuous variable in a finite (...)
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  47. added 2016-12-08
    Arrow of Time in Rigged Hilbert Space Quantum Mechanics.Robert C. Bishop - 2004 - International Journal of Theoretical Physics 43 (7):1675–1687.
    Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registration arrow. An analysis of this arrow and its role in Bohm's theory of scattering is given. Similarly, the Brussels-Austin Group uses an excitation/de-excitation arrow for ordering events, which is also analyzed. The relationship between the two approaches is discussed focusing on their semi-group operators and time (...)
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  48. added 2016-12-08
    Ontology Schmontology? Identity, Individuation, and Fock Space.Bruce L. Gordon - 2002 - Philosophy of Science 70 (5):1343-1356.
    The aim of this paper is modest. It is argued that if the nature of the "equivalence" between first-quantized particle theories and second-quantized (Fock Space) theories is examined closely, if the inadequacies of de Muynck's "indexed particle" version of Fock Space are recognized, and if the question is not begged against modal metaphysics, then van Fraassen's attempted deflation of ontological issues in quantum theory can be seen to fail.
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  49. added 2016-12-08
    Quantum Mechanics and Other Fields of Science.Maria Luisa Dalla Chiara - 2002 - Foundations of Science 7 (1-2):1-9.
    In recent times, a particular attention has been devoted to thesignificance of Quantum Theory for other disciplines. The articlescollected in this issue discuss some interesting cases,characterized by an interaction between Quantum Theory andother fields. Some basic notrons of the mathematical formalismof the theory are here summarized.
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  50. added 2016-12-08
    The Nature of Information in Quantum Mechanics.Duvenhage Rocco - 2002 - Foundations of Physics 32 (9):1399-1417.
    A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's information regarding a physical system. This is seen as the main difference from classical mechanics, where an observer's information regarding a physical system obeys classical probability theory. Quantum mechanics is then viewed purely as a mathematical framework for the probabilistic description of noncommutative information, with the projection postulate (...)
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