Time and complex numbers in canonical quantum gravity

Physics

Scientific paper

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Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

It is noted that not only time but also the imaginary unit is absent from the Wheeler-DeWitt equation (WDE), the basic equation of canonical quantum gravity. This leads to a severe problem in an attempt to recover the time-dependent Schrödinger equation from the WDE. It is suggested that the problem will be solved if the WDE is actually complex and not real, as in most models hitherto considered.

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