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An algebraic interpretation of the Wheeler-DeWitt equation

John W. Barrett·Louis Crane
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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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John W. Barrett, Louis Crane. 1997-04-10. An algebraic interpretation of the Wheeler-DeWitt equation. https://doi.org/10.1088/0264-9381%2F14%2F8%2F011

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