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Scalar curvature operator for models of loop quantum gravity on a cubical graph

Lewandowski, Jerzy et al.
arXiv (All) · Papers
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general-relativity-and-quantum-cosmology
In this article we introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. Our construction does not apply to the entire kinematical Hilbert space of loop quantum gravity; instead, the operator is defined on the Hilbert space of a fixed cubical graph. Th
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