paper

An algebraic interpretation of the Wheeler-DeWitt equation

arXiv:gr-qc/9609030 · doi:10.1088/0264-9381/14/8/011

Abstract

We make a direct connection between the construction of three dimensional topological state sums from tensor categories and three dimensional quantum gravity by noting that the discrete version of the Wheeler-DeWitt equation is exactly the pentagon for the associator of the tensor category, the Biedenharn-Elliott identity. A crucial role is played by an asymptotic formula relating 6j-symbols to rotation matrices given by Edmonds.

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