299 citations
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gr-qc1996★ 21 cited
Lattice knot theory and quantum gravity in the loop representation
Hugo Fort, Rodolfo Gambini, Jorge Pullin
We present an implementation of the loop representation of quantum gravity on a square lattice. Instead of starting from a classical lattice theory, quantizing and introducing loop…
gr-qc1996★ 9 cited
The general solution of the quantum Einstein equations?
Rodolfo Gambini, Jorge Pullin
We suggest how to interpret the action of the quantum Hamiltonian constraint of general relativity in the loop representation as a skein relation on the space of knots. Therefore,…