26 found
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  1. The Undivided Universe: An Ontological Interpretation of Quantum Theory.D. Bohm, B. J. Hiley & J. S. Bell - 1996 - Synthese 107 (1):145-165.
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  2.  99
    On the Intuitive Understanding of Nonlocality as Implied by Quantum Theory.D. J. Bohm & B. J. Hiley - 1975 - Foundations of Physics 5 (1):93-109.
    We bring out the fact that the essential new quality implied by the quantum theory is nonlocality; i.e., that a system cannot be analyzed into parts whose basic properties do not depend on the state of the whole system. This is done in terms of the causal interpretation of the quantum theory, proposed by one of us (D.B.) in 2952, involving the introduction of the “quantum potential.” We show that this approach implies a new universal type of description, in which (...)
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  3.  24
    Measurement Understood Through the Quantum Potential Approach.D. Bohm & B. J. Hiley - 1984 - Foundations of Physics 14 (3):255-274.
  4.  79
    What is Erased in the Quantum Erasure?B. J. Hiley & R. E. Callaghan - 2006 - Foundations of Physics 36 (12):1869-1883.
    In this paper, we re-examine a series of gedanken welcher Weg (WW) experiments introduced by Scully, Englert and Walther that contain the essential ideas underlying the quantum eraser. For this purpose we use the Bohm model which gives a sharp picture of the behaviour of the atoms involved in these experiments. This model supports the thesis that interference disappears in such WW experiments, even though the centre of mass wave function remains coherent throughout the experiment. It also shows exactly what (...)
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  5.  41
    The Implicate Order, Algebras, and the Spinor.F. A. M. Frescura & B. J. Hiley - 1980 - Foundations of Physics 10 (1-2):7-31.
    We review some of the essential novel ideas introduced by Bohm through the implicate order and indicate how they can be given mathematical expression in terms of an algebra. We also show how some of the features that are needed in the implicate order were anticipated in the work of Grassmann, Hamilton, and Clifford. By developing these ideas further we are able to show how the spinor itself, when viewed as a geometric object within a geometric algebra, can be given (...)
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  6.  59
    Clifford Algebras and the Dirac-Bohm Quantum Hamilton-Jacobi Equation.B. J. Hiley & R. E. Callaghan - 2012 - Foundations of Physics 42 (1):192-208.
    In this paper we show how the dynamics of the Schrödinger, Pauli and Dirac particles can be described in a hierarchy of Clifford algebras, ${\mathcal{C}}_{1,3}, {\mathcal{C}}_{3,0}$ , and ${\mathcal{C}}_{0,1}$ . Information normally carried by the wave function is encoded in elements of a minimal left ideal, so that all the physical information appears within the algebra itself. The state of the quantum process can be completely characterised by algebraic invariants of the first and second kind. The latter enables us to (...)
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  7.  96
    The de Broglie Pilot Wave Theory and the Further Development of New Insights Arising Out of It.D. J. Bohm & B. J. Hiley - 1982 - Foundations of Physics 12 (10):1001-1016.
    We briefly review the history of de Broglie's notion of the “double solution” and of the ideas which developed from this. We then go on to an extension of these ideas to the many-body system, and bring out the nonlocality implied in such an extension. Finally, we summarize further developments that have stemmed from de Broglie's suggestions.
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  8.  62
    On the Relationship Between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step to a More General Theory? [REVIEW]B. J. Hiley - 2010 - Foundations of Physics 40 (4):356-367.
    In this paper we show that the three main equations used by Bohm in his approach to quantum mechanics are already contained in the earlier paper by Moyal which forms the basis for what is known as the Wigner-Moyal approach. This shows, contrary to the usual perception, that there is a deep relation between the two approaches. We suggest the relevance of this result to the more general problem of constructing a quantum geometry.
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  9.  85
    Elements of Reality, Lorentz Invariance, and the Product Rule.O. Cohen & B. J. Hiley - 1996 - Foundations of Physics 26 (1):1-15.
    Recently various gedankenexperiments have been formulated which argue that the assumption that “elements of reality” are Lorentz invariant cannot be reconciled with standard quantum mechanics. Two of these gedankenexperiments were subsequently analyzed using the notion of pre- and postselected quantum systems, and it was claimed that elements of reality can be made Lorentz invariant if the “product rule” of standard quantum mechanics is abandoned. In this paper we show that the apparent violations of the product rule in these gedankenexperiments are (...)
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  10. Statistical Mechanics and the Ontological Interpretation.D. Bohm & B. J. Hiley - 1996 - Foundations of Physics 26 (6):823-846.
    To complete our ontological interpretation of quantum theory we have to conclude a treatment of quantum statistical mechanics. The basic concepts in the ontological approach are the particle and the wave function. The density matrix cannot play a fundamental role here. Therefore quantum statistical mechanics will require a further statistical distribution over wave functions in addition to the distribution of particles that have a specified wave function. Ultimately the wave function of the universe will he required, but we show that (...)
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  11.  67
    Nonlocality in Quantum Theory Understood in Terms of Einstein's Nonlinear Field Approach.D. Bohm & B. J. Hiley - 1981 - Foundations of Physics 11 (7-8):529-546.
    We discuss Einstein's ideas on the need for a theory that is both objective and local and also his suggestion for realizing such a theory through nonlinear field equations. We go on to analyze the nonlocality implied by the quantum theory, especially in terms of the experiment of Einstein, Podolsky, and Rosen. We then suggest an objective local field model along Einstein's lines, which might explain quantum nonlocality as a coordination of the properties of pulse-like solutions of the nonlinear equations (...)
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  12.  12
    Quantum State Teleportation Understood Through the Bohm Interpretation.O. Maroney & B. J. Hiley - 1999 - Foundations of Physics 29 (9):1403-1415.
    Quantum state teleportation has focused attention on the role of quantum information. Here we examine quantum teleportation through the Bohm interpretation. This interpretation introduced the notion of active information and we show that it is this information that is exchanged during teleportation. We discuss the relation between our notion of active information and the notion of quantum information introduced by Schumacher.
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  13. 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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  14.  31
    On a Quantum Algebraic Approach to a Generalized Phase Space.D. Bohm & B. J. Hiley - 1981 - Foundations of Physics 11 (3-4):179-203.
    We approach the relationship between classical and quantum theories in a new way, which allows both to be expressed in the same mathematical language, in terms of a matrix algebra in a phase space. This makes clear not only the similarities of the two theories, but also certain essential differences, and lays a foundation for understanding their relationship. We use the Wigner-Moyal transformation as a change of representation in phase space, and we avoid the problem of “negative probabilities” by regarding (...)
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  15.  11
    Active Information and Teleportation.B. J. Hiley - 1999 - Vienna Circle Institute Yearbook 7:113-126.
    In this paper I want to examine quantum teleportation from a point of view that is different from that normally considered. This will enable us to gain a new perspective into what is involved in the process of teleportation. It is clear that, at least in the case where particles are involved, it is not the particle that is transported, but rather the information contained in the wave function. This idea in itself is not new, but the central question that (...)
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  16.  38
    The Algebraization of Quantum Mechanics and the Implicate Order.F. A. M. Frescura & B. J. Hiley - 1980 - Foundations of Physics 10 (9-10):705-722.
    It has been proposed that the implicate order can be given mathematical expression in terms of an algebra and that this algebra is similar to that used in quantum theory. In this paper we bring out in a simple way those aspects of the algebraic formulation of quantum theory that are most relevant to the implicate order. By using the properties of the standard ket introduced by Dirac we describe in detail how the Heisenberg algebra can be generalized to produce (...)
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  17. Quantum Implications: Essays in Honour of David Bohm.R. Penrose & B. J. Hiley - 1987 - In Basil J. Hiley & D. Peat (eds.), Quantum Implications: Essays in Honour of David Bohm. Methuen.
     
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  18.  21
    On the Relativistic Invariance of a Quantum Theory Based on Beables.D. Bohm & B. J. Hiley - 1991 - Foundations of Physics 21 (2):243-250.
    We discuss the question of the relativistic invariance of a quantum theory based on beables, and we suggest the general outlines of one possible form of such a theory.
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  19.  5
    Some Spinor Implications Unfolded.F. A. M. Frescura & B. J. Hiley - 1987 - In Basil J. Hiley & D. Peat (eds.), Quantum Implications: Essays in Honour of David Bohm. Methuen.
  20.  52
    Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony by James T. Cushing.B. J. Hiley - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):299-305.
  21.  4
    The Ontological Interpretation of Quantum Field Theory Applied in a Cosmological Context.B. J. Hiley & Ah Aziz Muft - 1995 - In M. Ferrero & A. van der Merwe (eds.), Fundamental Problems in Quantum Physics. pp. 141.
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  22. Quantum Mechanics, the Implicate Order and the Relationship Between Mind and Matter.B. J. Hiley - 1995 - In P. Pyllkkänen & P. Pyllkkö (eds.), New Directions in Cognitive Science. Finnish Society for Artificial Intelligence. pp. 44--55.
     
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  23. Vacuum or Holomovement.B. J. Hiley - 1991 - In Simon Saunders & Harvey R. Brown (eds.), The Philosophy of Vacuum. Oxford University Press. pp. 217--249.
     
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  24.  8
    Commentary on Bernard Baars'In the Theatre of Consciousness'.B. J. Hiley - 1997 - Journal of Consciousness Studies 4 (4):329-331.
    One of the central puzzles for Baars is the contrast between the small window of consciousness of which we all have direct experience and the massive collection of specialized neural nets, all working in parallel in the depths of our brain. Why is this window so small? Can we use the metaphor of a theatre, in which we regard consciousness as merely acting like a spotlight moving over an already existing structure of thoughts, memories and experiences, or does it involve (...)
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  25.  2
    Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony by James T. Cushing.B. J. Hiley - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):299-305.
  26.  2
    List of the Contributors.Emilio Del Giudice, Fabrizio Desideri, Martin Fleischmann, Bury Lodge, Duck Street, Georg Franck, Gordon Globus, B. J. Hiley, Mari Jibu & Teruaki Nakagomi - 2004 - In Gordon G. Globus, Karl H. Pribram & Giuseppe Vitiello (eds.), Brain and Being. John Benjamins. pp. 349.
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