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Aspects of objectivity in quantum mechanics

In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press. pp. 45--70 (1999)

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  1. A geometric approach to quantum mechanics.J. Anandan - 1991 - Foundations of Physics 21 (11):1265-1284.
    It is argued that quantum mechanics is fundamentally a geometric theory. This is illustrated by means of the connection and symplectic structures associated with the projective Hilbert space, using which the geometric phase can be understood. A prescription is given for obtaining the geometric phase from the motion of a time dependent invariant along a closed curve in a parameter space, which may be finite dimensional even for nonadiabatic cyclic evolutions in an infinite dimensional Hilbert space. Using the natural metric (...)
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  • Quantum Frames of Reference.Y. Aharonov & T. Kaufherr - 1984 - Physical Review D 30 (2):368--85.
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  • What is quantum mechanics trying to tell us?David Mermin - 1998 - American Journal of Physics 66 (9):753-767.
    I explore whether it is possible to make sense of the quantum mechanical description of physical reality by taking the proper subject of physics to be correlation and only correlation, and by separating the problem of understanding the nature of quantum mechanics from the hard problem of understanding the nature of objective probability in individual systems, and the even harder problem of understanding the nature of conscious awareness. The resulting perspective on quantum mechanics is supported by some elementary but insufficiently (...)
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  • On the role of special relativity in general relativity.Harvey R. Brown - 1997 - International Studies in the Philosophy of Science 11 (1):67 – 81.
    The existence of a definite tangent space structure (metric with Lorentzian signature) in the general theory of relativity is the consequence of a fundamental assumption concerning the local validity of special relativity. There is then at the heart of Einstein's theory of gravity an absolute element which depends essentially on a common feature of all the non-gravitational interactions in the world, and which has nothing to do with space-time curvature. Tentative implications of this point for the significance of the vacuum (...)
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  • On the meaning of the relativity principle and other symmetries.Harvey R. Brown & Roland Sypel - 1995 - International Studies in the Philosophy of Science 9 (3):235 – 253.
    Abstract The historical evolution of the principle of relativity from Galileo to Einstein is briefly traced, and purported difficulties with Einstein's formulation of the principle are examined and dismissed. This formulation is then compared to a precise version formulated recently in the geometrical language of spacetime theories. We claim that the recent version is both logically puzzling and fails to capture a crucial physical insight contained in the earlier formulations. The implications of this claim for the modern treatment of general (...)
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  • On the hypotheses underlying physical geometry.J. Anandan - 1980 - Foundations of Physics 10 (7-8):601-629.
    The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same. Examination of quantum phenomena reveals that the space-time manifold is not appropriate for quantum theory. A different conception of geometry for quantum theory on the group manifold, which may be an arbitrary Lie group, is proposed. This provides a unified description of gravity and gauge fields as well (...)
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  • On the reality of space-time geometry and the wavefunction.Jeeva Anandan & Harvey R. Brown - 1995 - Foundations of Physics 25 (2):349--60.
    The action-reaction principle (AR) is examined in three contexts: (1) the inertial-gravitational interaction between a particle and space-time geometry, (2) protective observation of an extended wave function of a single particle, and (3) the causal-stochastic or Bohm interpretation of quantum mechanics. A new criterion of reality is formulated using the AR principle. This criterion implies that the wave function of a single particle is real and justifies in the Bohm interpretation the dual ontology of the particle and its associated wave (...)
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  • Reality and Geometry in Quantum Theory.Jeeva S. Anandan - 1996
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