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The principles of quantum mechanics

Oxford,: Clarendon Press (1930)

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  1. On the possibility of a realist ontological commitment in quantum mechanics.Andrea Oldofredi & Michael Andreas Esfeld - 2018 - Tropos. Journal of Hermeneutics and Philosophical Criticism 11 (1):11-33.
    This paper reviews the structure of standard quantum mechanics, introducing the basics of the von Neumann-Dirac axiomatic formulation as well as the well-known Copenhagen interpretation. We review also the major conceptual difficulties arising from this theory, first and foremost, the well-known measurement problem. The main aim of this essay is to show the possibility to solve the conundrums affecting quantum mechanics via the methodology provided by the primitive ontology approach. Using Bohmian mechanics as an example, the paper argues for a (...)
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  • A Persistent Particle Ontology for Quantum Field Theory in Terms of the Dirac Sea.Dirk-André Deckert, Michael Esfeld & Andrea Oldofredi - 2019 - British Journal for the Philosophy of Science 70 (3):747-770.
    We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to quantum field theory. By means of the Dirac sea model—exemplified in the electron sector of the standard model neglecting radiation—we explain how starting from persisting particles, one is led to standard QFT employing creation and annihilation operators when tracking the dynamics with respect to a reference state, the so-called vacuum. Since on the level of wave (...)
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  • Open or closed? Dirac, Heisenberg, and the relation between classical and quantum mechanics.Alisa Bokulich - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):377-396.
    This paper describes a long-standing, though little-known, debate between Paul Dirac and Werner Heisenberg over the nature of scientific methodology, theory change, and intertheoretic relations. Following Heisenberg’s terminology, their disagreements can be summarized as a debate over whether the classical and quantum theories are “open” or “closed.” A close examination of this debate sheds new light on the philosophical views of two of the great founders of quantum theory.
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  • Conceptual problems in quantum electrodynamics: a contemporary historical-philosophical approach.Mario Bacelar Valente - unknown
    PhD dissertation addressing what can be called conceptual-mathematical anomalies in quantum electrodynamics. This work can be seen as following the line of philosophy of physics studies of quantum field theory that started to emerge in a systematic way in the early eighties of last century. One example is Teller’s work on standard quantum electrodynamics.In this work, by following a historical approach, I will return to the standard version of quantum electrodynamics, which is the only one available when we want to (...)
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  • Dinge und Eigenschaften: Versuch zur Ontologie.Daniel von Wachter - 2000 - Verlag J.H. Röll.
    Discusses Armstrong's and Roman Ingarden's ontology, criticises substance ontology, and defends tropes and a field ontology.
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  • Fondamenti geometrici e problemi filosofici dello spazio-tempo.Luciano Boi - 2012 - Isonomía. Revista de Teoría y Filosofía Del Derecho:1-37.
    The answer to some of the longstanding issues in the 20th century theoretical physics, such as those of the incompatibility between general relativity and quantum mechanics, the broken symmetries of the electroweak force acting at the subatomic scale and the missing mass of Higgs particle, and also those of the cosmic singularity and the black matter and energy, appear to be closely related to the problem of the quantum texture of space-time and the fluctuations of its underlying geometry. Each region (...)
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  • A search for the classical model of spin.M. Božić & Z. Marić - 1993 - Foundations of Physics 23 (5):819-835.
    The study of the motion of the magnetic top—a classical spherical top which carries magnetic moment proportional to its angular momentum, is motivated and inspired by the quantum mechanical relation between spin angular momentum and spin magnetic moment. Inversely, the magnetic top, taken to be the classical model of quantum spin, implies the description of spin states by probability amplitudes of the top orientation angles, instead of by Pauli spinors. This opens new possibilities for the interpretation of many interesting spin (...)
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  • Zitterbewegung in External Magnetic Field: Classic versus Quantum Approach. [REVIEW]Mehran Zahiri-Abyaneh & Mehrdad Farhoudi - 2011 - Foundations of Physics 41 (8):1355-1374.
    We investigate variations of the Zitterbewegung frequency of electron due to an external static and uniform magnetic field employing the expectation value quantum approach, and compare our results with the classical model of spinning particles. We demonstrate that these two so far compatible approaches are not in agreement in the presence of an external uniform static magnetic field, in which the classical approach breaks the usual symmetry of free particles and antiparticles states, i.e. it leads to CP violation. Hence, regarding (...)
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  • The Schrödinger equation via an operator functional equation.Donald E. Catlin - 1990 - Foundations of Physics 20 (6):667-690.
    In this paper we derive the Schrödinger equation by comparing quantum statistics with classical statistical mechanics, identifying similarities and differences, and developing an operator functional equation which is solved in a completely algebraic fashion with no appeal to spatial invariances or symmetries.
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  • On the zigzagging causility model of EPR correlations and on the interpretation of quantum mechanics.O. Costa de Beauregard - 1988 - Foundations of Physics 18 (9):913-938.
    Being formalized inside the S-matrix scheme, the zigzagging causility model of EPR correlations has full Lorentz and CPT invariance. EPR correlations, proper or reversed, and Wheeler's smoky dragon metaphor are respectively pictured in spacetime or in the momentum-energy space, as V-shaped, A-shaped, or C-shaped ABC zigzags, with a summation at B over virtual states |B〉 〈B|. An exact “correspondence” exists between the Born-Jordan-Dirac “wavelike” algebra of transition amplitudes and the 1774 Laplace algebra of conditional probabilities, where the intermediate summations |B) (...)
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  • Schrödinger's immortal cat.Asher Peres - 1988 - Foundations of Physics 18 (1):57-76.
    The purpose of this paper is to review and clarify the quantum “measurement problem.” The latter originates in the ambivalent nature of the “observer”: Although the observer is not described by the Schrödinger equation, it should nevertheless be possible to “quantize” him and include him in the wave function if quantum theory is universally valid. The problem is to prove that no contradiction may arise in these two conflicting descriptions. The proof invokes the notion of irreversibility. The validity of the (...)
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  • Orthospaces and quantum logic.J. L. Bell - 1985 - Foundations of Physics 15 (12):1179-1202.
    In this paper we construct the ortholattices arising in quantum logic starting from the phenomenologically plausible idea of a collection of ensembles subject to passing or failing various “tests.” A collection of ensembles forms a certain kind of preordered set with extra structure called anorthospace; we show that complete ortholattices arise as canonical completions of orthospaces in much the same way as arbitrary complete lattices arise as canonical completions of partially ordered sets. We also show that the canonical completion of (...)
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  • Pauli-Dirac matrix generators of Clifford Algebras.Charles P. Poole & Horacio A. Farach - 1982 - Foundations of Physics 12 (7):719-738.
    This article presents a Pauli-Dirac matrix approach to Clifford Algebras. It is shown that the algebra C2 is generated by two Pauli matrices iσ2 and iσ3; C3 is generated by the three Pauli matrices σ1, σ2, σ3; C4 is generated by four Dirac matrices γ0, γ1, γ2, γ3 and C5 is generated by five Dirac matrices iγ0, iγ1, iγ2, iγ3, iγ5. The higher dimensional anticommuting matrices which generate arbitrarily high order Clifford algebras are given in closed form. The results obtained (...)
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  • On a relativistic particle in probabilistic physics.L. S. Mayants - 1974 - Foundations of Physics 4 (3):335-353.
    Some problems relating to the probabilistic description of a free particle and of a charged particle moving in an electromagnetic field are discussed. A critical analysis of the Klein-Gordon equation and of the Dirac equation is given. It is also shown that there is no connection between commutativity of operators for physical quantities and the existence of their joint probability. It is demonstrated that the Heisenberg uncertainty relation is not universal and explained why this is so. A universal uncertainty relation (...)
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  • The mathematical philosophy of Charles Parsons. [REVIEW]J. M. B. Moss - 1985 - British Journal for the Philosophy of Science 36 (4):437-457.
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  • Is quantum mechanics an atomistic theory?Shaughan Lavine - 1991 - Synthese 89 (2):253 - 271.
    If quantum mechanics (QM) is to be taken as an atomistic theory with the elementary particles as atoms (an ATEP), then the elementary particlcs must be individuals. There must then be, for each elementary particle a, a property being identical with a that a alone has. But according to QM, elementary particles of the same kind share all physical properties. Thus, if QM is an ATEP, identity is a metaphysical but not a physical property. That has unpalatable consequences. Dropping the (...)
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  • Models and methodologies in current theoretical high-energy physics.James T. Cushing - 1982 - Synthese 50 (1):5 - 101.
    A case study of the development of quantum field theory and of S-matrix theory, from their inceptions to the present, is presented. The descriptions of science given by Kuhn and by Lakatos are compared and contrasted as they apply to this case study. The episodes of the developments of these theories are then considered as candidates for competing research programs in Lakatos' methodology of scientific research programs. Lakatos' scheme provides a reasonable overall description and a plausible assessment of the relative (...)
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  • Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method.Carlo Cellucci - 2013 - Dordrecht, Netherland: Springer.
    This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without (...)
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  • A Numbers-Based Approach to a Free Particle’s Proper Spacetime.R. Ferber - 2021 - Foundations of Physics 51 (5):1-21.
    This paper contains a proposal for a free, nonzero-rest-mass particle’s proper spacetime, determined exclusively by the particle’s rest mass \ and numbers. The approach defines proper time as de Broglie time, which is isomorphic to a sequence of natural numbers \ that count de Broglie time units \\). The approach is based on defining the spatial coordinate as proper following the constructive definition of positive and negative integers as all possible differences of ordered pairs of natural numbers multiplied by the (...)
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  • Teorías de partículas. Esbozo de una reconstrucción estructuralista.Joseph D. Sneed - 2020 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 11 (1):33-52.
    Particle theories intend to describe the fundamental constituents from which all matter is constructed and the interactions among them. These constituents include atoms and molecules as well as their subatomic constituents, nuclei and their component parts including elementary particles. We consider an alternative to the usual particle theories, but dealing with the same phenomena. We call these theories ‘QT’s’. This is an attempt to provide a formal description of the essential features of elementary particle theories within the framework of metatheoretical (...)
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  • (1 other version)A pragmatist view of the metaphysics of entanglement.Richard Healey - 2020 - Synthese 197 (10):4265-4302.
    Quantum entanglement is widely believed to be a feature of physical reality with undoubted (though debated) metaphysical implications. But Schrödinger introduced entanglement as a theoretical relation between representatives of the quantum states of two systems. Entanglement represents a physical relation only if quantum states are elements of physical reality. So arguments for metaphysical holism or nonseparability from entanglement rest on a questionable view of quantum theory. Assignment of entangled quantum states predicts experimentally confirmed violation of Bell inequalities. Can one use (...)
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  • Force and Objectivity: On Impact, Form, and Receptivity to Nature in Science and Art.Eli Lichtenstein - 2019 - Dissertation, University of Michigan
    I argue that scientific and poetic modes of objectivity are perspectival duals: 'views' from and onto basic natural forces, respectively. I ground this analysis in a general account of objectivity, not in terms of either 'universal' or 'inter-subjective' validity, but as receptivity to basic features of reality. Contra traditionalists, bare truth, factual knowledge, and universally valid representation are not inherently valuable. But modern critics who focus primarily on the self-expressive aspect of science are also wrong to claim that our knowledge (...)
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  • Putting probabilities first. How Hilbert space generates and constrains them.Michael Janas, Michael Cuffaro & Michel Janssen - manuscript
    We use Bub's (2016) correlation arrays and Pitowksy's (1989b) correlation polytopes to analyze an experimental setup due to Mermin (1981) for measurements on the singlet state of a pair of spin-12 particles. The class of correlations allowed by quantum mechanics in this setup is represented by an elliptope inscribed in a non-signaling cube. The class of correlations allowed by local hidden-variable theories is represented by a tetrahedron inscribed in this elliptope. We extend this analysis to pairs of particles of arbitrary (...)
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  • Narratives of quantum theory in the age of quantum technologies.Alexei Grinbaum - 2017 - Ethics and Information Technology 19 (4):295-306.
    Quantum technologies can be presented to the public with or without introducing a strange trait of quantum theory responsible for their non-classical efficiency. Traditionally the message was centered on the superposition principle, while entanglement and properties such as contextuality have been gaining ground recently. A less theoretical approach is focused on simple protocols that enable technological applications. It results in a pragmatic narrative built with the help of the resource paradigm and principle-based reconstructions. I discuss the advantages and weaknesses of (...)
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  • Potentiality and Contradiction in Quantum Mechanics.Jonas R. B. Arenhart & Decio Krause - unknown
    Following J.-Y.Béziau in his pioneer work on non-standard interpretations of the traditional square of opposition, we have applied the abstract structure of the square to study the relation of opposition between states in superposition in orthodox quantum mechanics in [1]. Our conclusion was that such states are contraries, contradicting previous analyzes that have led to different results, such as those claiming that those states represent contradictory properties. In this chapter we bring the issue once again into the center of the (...)
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  • Partitions and Objective Indefiniteness in Quantum Mechanics.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 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 which are category-theoretically dual to one another (...)
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  • Quantum mechanics unscrambled.Jean-Michel Delhotel - 2014
    Is quantum mechanics about ‘states’? Or is it basically another kind of probability theory? It is argued that the elementary formalism of quantum mechanics operates as a well-justified alternative to ‘classical’ instantiations of a probability calculus. Its providing a general framework for prediction accounts for its distinctive traits, which one should be careful not to mistake for reflections of any strange ontology. The suggestion is also made that quantum theory unwittingly emerged, in Schrödinger’s formulation, as a ‘lossy’ by-product of a (...)
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  • Eschewing Entities: Outlining a Biology Based Form of Structural Realism.Steven French - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), EPSA11 Perspectives and Foundational Problems in Philosophy of Science. Cham: Springer. pp. 371--381.
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  • The inaccuracy principle.Hans Martens & Willem M. de Muynck - 1990 - Foundations of Physics 20 (4):357-380.
    The problem of joint measurement of incompatible observables is investigated. Measurements are represented by positive operator-valued measures. A quantitative notion of inaccuracy is defined. It is shown that within this framework joint inaccurate measurements are possible for arbitrary maximal projection-valued measures on finite-dimensional spaces. The accuracy of such measurements is limited, as is shown by an inaccuracy inequality we derive. This new type of uncertainty relation can be unambiguously interpreted as referring to measurement precision rather than preparative quality. Several recent (...)
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  • Unambiguous Quantization from the Maximum Classical Correspondence that Is Self-consistent: The Slightly Stronger Canonical Commutation Rule Dirac Missed. [REVIEW]Steven Kenneth Kauffmann - 2011 - Foundations of Physics 41 (5):805-819.
    Dirac’s identification of the quantum analog of the Poisson bracket with the commutator is reviewed, as is the threat of self-inconsistent overdetermination of the quantization of classical dynamical variables which drove him to restrict the assumption of correspondence between quantum and classical Poisson brackets to embrace only the Cartesian components of the phase space vector. Dirac’s canonical commutation rule fails to determine the order of noncommuting factors within quantized classical dynamical variables, but does imply the quantum/classical correspondence of Poisson brackets (...)
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  • On the structure of the quantum-mechanical probability models.Nicola Cufaro-Petroni - 1992 - Foundations of Physics 22 (11):1379-1401.
    In this paper the role of the mathematical probability models in the classical and quantum physics is shortly analyzed. In particular the formal structure of the quantum probability spaces (QPS) is contrasted with the usual Kolmogorovian models of probability by putting in evidence the connections between this structure and the fundamental principles of the quantum mechanics. The fact that there is no unique Kolmogorovian model reproducing a QPS is recognized as one of the main reasons of the paradoxical behaviors pointed (...)
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  • Nonideal quantum measurements.Hans Martens & Willem M. de Muynck - 1990 - Foundations of Physics 20 (3):255-281.
    A partial ordering in the class of observables (∼ positive operator-valued measures, introduced by Davies and by Ludwig) is explored. The ordering is interpreted as a form of nonideality, and it allows one to compare ideal and nonideal versions of the same observable. Optimality is defined as maximality in the sense of the ordering. The framework gives a generalization of the usual (implicit) definition of self-adjoint operators as optimal observables (von Neumann), but it can, in contrast to this latter definition, (...)
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  • The foundations of quantum mechanics.P. J. Bussey - 1988 - Foundations of Physics 18 (5):491-528.
    Starting from a set of assumptions mainly of an “operational” or experimentally based nature, a derivation of quantum mechanics is presented, with the aim of clarifying the essential features of the theory and their interpretation. Various properties of quantum mechanics such as the addition of amplitudes, the calculation of probabilities, de Broglie's equations, and energy-momentum conservation are derived from first principles. It is investigated whether quantum amplitudes may be constructed from quantities of higher order than complex numbers. Measurable physical quantitics, (...)
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  • The continuous spectra of quantum operators.Boris Leaf - 1982 - Foundations of Physics 12 (6):583-606.
    The linear vector space for the quantum description of a physical system is formulated as the intersection of the domains of Hermiticity of the observables characterizing the system. It is shown that on a continuous interval of its spectrum every Hermitian operator on a Hilbert space of one degree of freedom is a generalized coordinate with a conjugate generalized momentum. Every continuous spectral interval of a Hermitian operator is the limit of a discrete spectrum in the same interval. This result (...)
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  • Toward a fundamental mechanics. I.T. E. Phipps - 1975 - Foundations of Physics 5 (1):45-58.
    In this, the first of a two-part paper, a conceptual purification of physics is advocated, whereby the idea of the field is completely eliminated in favor of particulate dynamical laws. Previous work concerning a specific formulation of such purely mechanical laws is reviewed and is shown to imply the possibility of existence of electrons and positrons within nuclei or “elementary” particles in stable bound states characterized by real mass-energy and imaginary momentum. The second part of the paper will examine the (...)
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  • (1 other version)The Relativity of Physical Size.T. E. Phipps - 1969 - Dialectica 23 (3‐4):189-215.
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  • On the relation between indistinguishability of identical particles and (anti)symmetry of the wave function in quantum mechanics.Willem M. Muynck & Gidi P. Liempd - 1986 - Synthese 67 (3):477 - 496.
    Two different concepts of distinguishability are often mixed up in attempts to derive in quantum mechanics the (anti)symmetry of the wave function from indistinguishability of identical particles. Some of these attempts are analyzed and shown to be defective. It is argued that, although identical particles should be considered as observationally indistinguishable in (anti)symmetric states, they may be considered to be conceptually distinguishable. These two notions of (in)distinguishability have quite different physical origins, the former one being related to observations while the (...)
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  • Laws, Dispositions, Memory: Three Hypotheses on the Order of the World.Joël Dolbeault - 2021 - Metaphysica 22 (1):101-121.
    The more science progresses, the more it is evident that the physical world presents regularities. This raises a metaphysical problem: why is the world so ordered? In the first part of the article, I attempt to clarify this problem and justify its relevance. In the following three parts, I analyze three hypotheses already formulated in philosophy in response to this problem: the hypothesis that the order of the world is explained 1) by laws of nature, 2) by dispositions of the (...)
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  • Quantum Superpositions and the Representation of Physical Reality Beyond Measurement Outcomes and Mathematical Structures.Christian de Ronde - 2016 - Foundations of Science 23 (4):621-648.
    In this paper we intend to discuss the importance of providing a physical representation of quantum superpositions which goes beyond the mere reference to mathematical structures and measurement outcomes. This proposal goes in the opposite direction to the project present in orthodox contemporary philosophy of physics which attempts to “bridge the gap” between the quantum formalism and common sense “classical reality”—precluding, right from the start, the possibility of interpreting quantum superpositions through non-classical notions. We will argue that in order to (...)
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  • The esperable uberty of quantum chromodynamics.Steven French - 1995 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 26 (1):87-105.
    Within the philosophy of science there has been a great deal of rather vague talk about the 'heuristic fruitfulness' (or what Peirce called the 'esperable uberty') of theories. It is my aim in the present paper to add some precision to these discussions by linking this 'fruitfulness' to the satisfaction of certain heuristic criteria. In this manner the demarcation between 'discovery' and 'pursuit' becomes blurred. As a case study, I present the competition between the paraparticle and colour models of quarks (...)
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  • Decision theory with prospect interference and entanglement.V. I. Yukalov & D. Sornette - 2011 - Theory and Decision 70 (3):283-328.
    We present a novel variant of decision making based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intentions, which allows us to describe a variety of interesting fallacies and anomalies that have been reported to particularize the decision making of real human beings. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. We demonstrate how the violation of the Savage’s sure-thing principle, known (...)
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  • A Mathematical Characterization of Quantum Gaussian Stochastic Evolution Schemes.D. Salgado, J. L. Sánchez-Gómez & M. Ferrero - 2006 - Foundations of Physics 36 (4):526-540.
    We give a common mathematical characterization of relevant stochastic evolution schemes built up in the literatute to attack the quantum measurement problem. This characterization is based on two hypotheses, namely, (i) the trace conservation with probability one and (ii) the existence of a complex phase determining a linear support for the stochastic process driving the random evolution.
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  • (1 other version)Supermultiplicity and the relativistic Coulomb problem with arbitrary spin.M. Moshinsky, A. Del Sol Mesa & V. Riquer - 1997 - Foundations of Physics 27 (8):1139-1157.
    The Hamiltonian for n relativistic electrons without interaction but in a Coulomb potential is well known. If in this Hamiltonian we take r ′ u =r′, P ′ u =P′ with u=1,2,..., n, we obtain a one-body problem in a Coulomb field, but the appearance of n of the α u , u=1,..., n, each of which corresponds to spin $\tfrac{1}{2}$ , indicates that we may have spins up to (n/2). We analyze this last problem first by denoting the 4×4 (...)
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  • On the problem of systems under the influence of imperfect instruments.J. Formánek - 1995 - Foundations of Physics 25 (6):851-870.
    An algorithm for handling imperfect instruments is developed in the framework of quantum theory. As an illustration the problem of light passing through a set of imperfect polarizers is discussed. It is shown that the results obtained in this way are in agreement with experimental data.
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  • Retrodiction in quantum mechanics, preferred Lorentz frames, and nonlocal measurements.O. Cohen & B. J. Hiley - 1995 - Foundations of Physics 25 (12):1669-1698.
    We examine, in the context of the Einstein-Podolsky-Rosen-Bohm gedankenexperiment, problems associated with state reduction and with nonlocal influences according to different interpretations of quantum mechanics, when attempts are made to apply these interpretations in the relativistic domain. We begin by considering the significance of retrodiction within four different interpretations of quantum mechanics, and show that three of these interpretations, if applied in a relativistic context, can lead to ambiguities in their description of a process. We consider ways of dealing with (...)
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  • Compatible stochastic observables that do not commute.Franklin E. Schroeck - 1985 - Foundations of Physics 15 (6):677-681.
    It is shown that stochastic observables defined by an instrument need not, and generally do not, commute.
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  • Can quarks always be confined by a linear potential?H. B. Ai & J. P. Hsu - 1985 - Foundations of Physics 15 (2):155-159.
    It is demonstrated on the basis of the Dirac equation that quarks cannot be confined by a vector gluon potential of the form(r/r 0)a or[ln(r/r 0]a, a>0, if the quark-gluon interaction conserves parity. In order to confine quarks with the parity-conserving interaction, the effective gluon potential must be a pseudovector or a scalar. These are shown in a simple Yang-Mills field with theSU(2) group.
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  • (1 other version)The peculiar notion of exchange forces-- II: From nuclear forces to QED, 1929-1950.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):99-131.
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  • The mathematical foundations of quantum mechanics.David A. Edwards - 1979 - Synthese 42 (1):1 - 70.
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  • (1 other version)A conceptual construction of complexity levels theory in spacetime categorical ontology: Non-Abelian algebraic topology, many-valued logics and dynamic systems. [REVIEW]R. Brown, J. F. Glazebrook & I. C. Baianu - 2007 - Axiomathes 17 (3-4):409-493.
    A novel conceptual framework is introduced for the Complexity Levels Theory in a Categorical Ontology of Space and Time. This conceptual and formal construction is intended for ontological studies of Emergent Biosystems, Super-complex Dynamics, Evolution and Human Consciousness. A claim is defended concerning the universal representation of an item’s essence in categorical terms. As an essential example, relational structures of living organisms are well represented by applying the important categorical concept of natural transformations to biomolecular reactions and relational structures that (...)
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