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arXiv · 2309.09391

Towards a dual formulation of quantum gravity via metric-curvature bijections

Praveen Dennis Xavier
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Abstract

We prove that Riemannian metrics in General Relativity in the \emph{`normal-coordinates'} gauge are in one-to-one correspondence with curvature 2-forms. We discuss how this can be used as a change of variables in the operator formalism to construct a dual formulation of quantum gravity pertinent in the context of asymptotic safety-like approaches to quantum gravity.

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Praveen Dennis Xavier. 2023-09-17. Towards a dual formulation of quantum gravity via metric-curvature bijections. https://arxiv.org/abs/2309.09391

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