An algebraic interpretation of the Wheeler - DeWitt equation
John W Barrett; Louis Crane
Журнал:
Classical and Quantum Gravity
Дата:
1997-08-01
Аннотация:
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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