Concerning Infeasibility of the Wave Functions of the Universe

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    Abstract

    Difficulties with finding the general exact solutions to the Wheeler-DeWitt equation, i.e. the wave functions of the Universe, are known and well documented. However, the present paper draws attention to a completely different matter, which is rarely if ever discussed in relation to this equation, namely, the time complexity of the Wheeler-DeWitt equation, that is, the time required to exactly solve the equation for a given universe. As it is shown in the paper, whatever generic exact algorithm is used to solve the equation, most likely such an algorithm cannot be faster than brute force, which makes the wave functions of the Universe infeasible.

    Original languageEnglish
    Pages (from-to)3215-3221
    Number of pages7
    JournalInternational Journal of Theoretical Physics
    Volume54
    Issue number9
    DOIs
    StatePublished - 18 Sep 2015

    Keywords

    • Quantum gravity
    • Time complexity
    • Wave functions of the Universe
    • Wheeler-DeWitt equation

    ASJC Scopus subject areas

    • General Mathematics
    • Physics and Astronomy (miscellaneous)

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