Wheeler–DeWitt equation
Field equation, part of a theory that attempts to combine quantum mechanics and general relativity / From Wikipedia, the free encyclopedia
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The Wheeler–DeWitt equation[1] for theoretical physics and applied mathematics, is a field equation attributed to John Archibald Wheeler and Bryce DeWitt. The equation attempts to mathematically combine the ideas of quantum mechanics and general relativity, a step towards a theory of quantum gravity.
This article may be too technical for most readers to understand. (August 2011) |
In this approach, time plays a role different from what it does in non-relativistic quantum mechanics, leading to the so-called 'problem of time'.[2] More specifically, the equation describes the quantum version of the Hamiltonian constraint using metric variables. Its commutation relations with the diffeomorphism constraints generate the Bergman–Komar "group" (which is the diffeomorphism group on-shell).