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Against 3N-Dimensional Space

In David Albert Alyssa Ney (ed.), The Wave Function: Essays in the Metaphysics of Quantum Mechanics (2013)

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  1. Quantum Mechanics on Spacetime I: Spacetime State Realism.David Wallace & Christopher Gordon Timpson - 2010 - British Journal for the Philosophy of Science 61 (4):697-727.
    What ontology does realism about the quantum state suggest? The main extant view in contemporary philosophy of physics is wave-function realism . We elaborate the sense in which wave-function realism does provide an ontological picture, and defend it from certain objections that have been raised against it. However, there are good reasons to be dissatisfied with wave-function realism, as we go on to elaborate. This motivates the development of an opposing picture: what we call spacetime state realism , a view (...)
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  • The Status of our Ordinary Three Dimensions in a Quantum Universe1.Alyssa Ney - 2010 - Noûs 46 (3):525-560.
    There are now several, realist versions of quantum mechanics on offer. On their most straightforward, ontological interpretation, these theories require the existence of an object, the wavefunction, which inhabits an extremely high-dimensional space known as configuration space. This raises the question of how the ordinary three-dimensional space of our acquaintance fits into the ontology of quantum mechanics. Recently, two strategies to address this question have emerged. First, Tim Maudlin, Valia Allori, and her collaborators argue that what I have just called (...)
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  • Wave Function Ontology.Bradley Monton - 2002 - Synthese 130 (2):265-277.
    I argue that the wave function ontology for quantum mechanics is an undesirable ontology. This ontology holds that the fundamental space in which entities evolve is not three-dimensional, but instead 3N-dimensional, where N is the number of particles standardly thought to exist in three-dimensional space. I show that the state of three-dimensional objects does not supervene on the state of objects in 3N-dimensional space. I also show that the only way to guarantee the existence of the appropriate mental states in (...)
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  • The problem of ontology for spontaneous collapse theories.Bradley Monton - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):407-421.
    The question of how to interpret spontaneous collapse theories of quantum mechanics is an open one. One issue involves what link one should use to go from wave function talk to talk of ordinary macroscopic objects. Another issue involves whether that link should be taken ontologically seriously. In this paper, I ague that the link should be taken ontologically seriously; I argue against an ontology consisting solely of the wave function. I then consider three possible links: the fuzzy link, the (...)
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  • Describing the macroscopic world: Closing the circle within the dynamical reduction program. [REVIEW]G. C. Ghirardi, R. Grassi & F. Benatti - 1995 - Foundations of Physics 25 (1):5-38.
    With reference to recently proposed theoretical models accounting for reduction in terms of a unified dynamics governing all physical processes, we analyze the problem of working out a worldview accommodating our knowledge about natural phenomena. We stress the relevant conceptual differences between the considered models and standard quantum mechanics. In spite of the fact that both theories describe systems within a genuine Hilbert space framework, the peculiar features of the spontaneous reduction models limit drastically the states which are dynamically stable. (...)
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  • The Shaky Game: Einstein, Realism, and the Quantum Theory.Arthur Fine - 1986 - Chicago: University of Chicago Press.
    In this new edition, Arthur Fine looks at Einstein's philosophy of science and develops his own views on realism. A new Afterword discusses the reaction to Fine's own theory. "What really led Einstein . . . to renounce the new quantum order? For those interested in this question, this book is compulsory reading."--Harvey R. Brown, American Journal of Physics "Fine has successfully combined a historical account of Einstein's philosophical views on quantum mechanics and a discussion of some of the philosophical (...)
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  • Quantum Mechanics and 3 N - Dimensional Space.Bradley Monton - 2006 - Philosophy of Science 73 (5):778-789.
    I maintain that quantum mechanics is fundamentally about a system of N particles evolving in three-dimensional space, not the wave function evolving in 3N-dimensional space.
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  • Elementary Quantum Metaphysics.David Albert - 1996 - In J. T. Cushing, Arthur Fine & Sheldon Goldstein (eds.), Bohmian Mechanics and Quantum theory: An Appraisal. Kluwer Academic Publishers. pp. 277-284.
    Once upon a time, the twentieth-century investigations of the behaviors of sub-atomic particles were thought to have established that there can be no such thing as an objective, observer-independent, scientifically realist, empirically adequate picture of the physical world.
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  • The matrix as metaphysics.David J. Chalmers - 2005 - In Christopher Grau (ed.), Philosophers Explore the Matrix. Oxford University Press. pp. 132.
    The Matrix presents a version of an old philosophical fable: the brain in a vat. A disembodied brain is floating in a vat, inside a scientist’s laboratory. The scientist has arranged that the brain will be stimulated with the same sort of inputs that a normal embodied brain receives. To do this, the brain is connected to a giant computer simulation of a world. The simulation determines which inputs the brain receives. When the brain produces outputs, these are fed back (...)
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  • Prolegomena to any Future Physics-Based Metaphysics.Bradley Monton - 2008 - In Jonathan L. Kvanvig (ed.), Oxford Studies in Philosophy of Religion Volume III. Oxford University Press.
    Metaphysicians sometimes appeal to physics to establish claims about the fundamental nature of the world. But given the current state of inquiry in physics, where there are two most fundamental theories that are incompatible, such arguments of physics-based metaphysics are problematic. I support this line of thought by focussing on two sorts of problematic arguments, special-relativity-based arguments against presentism and big-bang-based arguments in favor of the existence of God. I am not arguing that physics-based metaphysics can’t be done; I am (...)
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  • Prolegomena to Any Future Physics-Based Metaphysics.Bradley Monton - 2011 - In Jonathan L. Kvanvig (ed.), Oxford Studies in Philosophy of Religion Volume 3. Oxford University Press.
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  • The Shaky Game: Einstein, Realism and the Quantum Theory.Arthur Fine - 1988 - Mind 97 (386):291-295.
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