An algebraic interpretation of the Wheeler-DeWitt equation

Details An algebraic interpretation of the Wheeler-DeWitt equation An algebraic interpretation of the Wheeler-DeWitt equation

1996-09-12

arxiv.org/abs/gr-qc/9609030v2

Class.Quant.Grav. 14 (1997) 2113-2121

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, amstex, uses epsf.tex. New version has improved presentation

Scientific paper

10.1088/0264-9381/14/8/011

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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