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Emergence and Computation at the Edge of Classical and Quantum Systems

In World Scientific (ed.), Physics of Emergence and Organization. World Scientific (2008)

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  1. The Mathematical Universe.Max Tegmark - 2007 - Foundations of Physics 38 (2):101-150.
    I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and (...)
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  • Mixed-system brain dynamics: Neural memory as a macroscopic ordered state. [REVIEW]C. I. J. M. Stuart, Y. Takahashi & H. Umezawa - 1979 - Foundations of Physics 9 (3-4):301-327.
    The paper reviews the current situation regarding a new theory of brain dynamics put forward by the authors in an earlier publication. Motivation for the theory is discussed in terms of two issues: the long-standing problem of accounting for the stability and nonlocal properties of memory, and the experimental and theoretical evidence against the classical theory of brain action. It is shown that the new theory provides an explanation and a conceptually unifying framework for phenomena of brain action that resist (...)
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  • Relativistically covariant Bohm-Bub hidden-variable theory for spin measurement of a single particle.Luc Longtin & Richard D. Mattuck - 1984 - Foundations of Physics 14 (8):685-703.
    We present a simple first step toward a relativistically covariant generalization of the Bohm-Bub hidden-variable theory. The model is applicable to spin measurement on a single Dirac particle and describes the collapse of the state vector to a spin-up or spin-down state. The essential postulate is that the hidden-variable vector transforms in the same way as the state vector under a Lorentz transformation. This yields a covariant collapse equation, which reduces to the ordinary Bohm-Bub equation for an observer stationary with (...)
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  • 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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  • Logical self reference, set theoretical paradoxes and the measurement problem in quantum mechanics.Maria Luisa Dalla Chiara - 1977 - Journal of Philosophical Logic 6 (1):331-347.
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  • On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghì - 2008 - Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
    Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the classical motion of macroscopic bodies. In this paper we shall analyze special cases of classical behavior in the framework of a precise formulation of quantum mechanics, Bohmian mechanics, which contains in its own structure the possibility of describing (...)
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  • On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghì - 2009 - Foundations of Physics 39 (1):20-32.
    Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the classical motion of macroscopic bodies. In this paper we shall analyze special cases of classical behavior in the framework of a precise formulation of quantum mechanics, Bohmian mechanics, which contains in its own structure the possibility of describing (...)
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  • Conceptual foundations of quantum mechanics.Bernard D' Espagnat - 1971 - Redwood City, Calif.: Addison-Wesley, Advanced Book Program.
    Conceptual Foundations of Quantum Mechanics provides a detailed view of the conceptual foundations and problems of quantum physics, and a clear and comprehensive account of the fundamental physical implications of the quantum formalism. This book deals with nonseparability, hidden variable theories, measurement theories and several related problems. Mathematical arguments are presented with an emphasis on simple but adequately representative cases. The conclusion incorporates a description of a set of relationships and concepts that could compose a legitimate view of the world.
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  • My Double Unveiled: The Dissipative Quantum Model of Brain.Giuseppe Vitiello - 2001 - John Benjamins.
    CHAPTER Structure and function In physical systems made by a large number of basic constituents one can observe collective properties which find their ...
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  • On emergence and explanation.Nils Baas & Claus Emmeche - 1997 - Intellectica 2 (25):67-83.
    Emergence is a universal phenomenon that can be defined mathematically in a very general way. This is useful for the study of scientifically legitimate explanations of complex systems, here defined as hyperstructures. A requirement is that the observation mechanisms are considered within the general framework. Two notions of emergence are defined, and specific examples of these are discussed.
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  • Pregeometry: Motivations and prospects.John Archibald Wheeler - 1980 - In A. R. Marlow (ed.), Quantum Theory and Gravitation. Academic Press. pp. 1.
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