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Does gravity induce wavefunction collapse? An examination of Penrose's argument

Gao, Shan (2012) Does gravity induce wavefunction collapse? An examination of Penrose's argument. [Preprint]

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    Abstract

    According to Penrose, the fundamental conflict between the superposition principle of quantum mechanics and the general covariance principle of general relativity entails the existence of wavefunction collapse, e.g. a quantum superposition of two different space-time geometries will collapse to one of them due to the ill-definedness of the time-translation operator for the superposition. In this paper, we argue that Penrose's conjecture on gravity's role in wavefunction collapse is debatable. First of all, it is still a controversial issue what the exact nature of the conflict is and how to resolve it. Secondly, Penrose's argument by analogy is too weak to establish a necessary connection between wavefunction collapse and the conflict as understood by him. Thirdly, the conflict does not necessarily lead to wavefunction collapse. For the conflict or the problem of ill-definedness for a superposition of different space-time geometries also needs to be solved before the collapse of the superposition finishes, and once the conflict has been resolved, the wavefunction collapse will lose its physical basis relating to the conflict. In addition, we argue that Penrose's suggestions for the collapse time formula and collapse states are also problematic.


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    Item Type: Preprint
    Keywords: gravity, wavefunction collapse, quantum mechanics, general relativity
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Specific Sciences > Physics > Relativity Theory
    Depositing User: Mr. Shan Gao
    Date Deposited: 23 Jan 2012 09:47
    Last Modified: 05 Mar 2013 08:50
    Item ID: 8997
    URI: http://philsci-archive.pitt.edu/id/eprint/8997

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