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One Local Solution of the Wheeler-DeWitt equation

Shintaro Sawayama
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Abstract

We can obtain one solution of the Hamiltonian constraint equation in the local sense. The form of the state is suggested from the up-to-down method in our previous work. The up-to-down method works for different way in treating the general metrics. In the mini-superspace approach there appears additional constraint in the 4-dimensional quantum gravity Hilbert space. However, in the general treatment of the metrics this method works as only solving technique.

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Shintaro Sawayama. 2006-07-11. One Local Solution of the Wheeler-DeWitt equation. https://arxiv.org/abs/gr-qc/0605073

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