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gr-qc1993★ 215 cited
The physical hamiltonian in nonperturbative quantum gravity
Carlo Rovelli, Lee Smolin
A quantum hamiltonian which evolves the gravitational field according to time as measured by constant surfaces of a scalar field is defined through a regularization procedure based…
gr-qc1993★ 10 cited
A New Discretization of Classical and Quantum General Relativity
O. Bostrom, M. Miller, L. Smolin
We propose a new discrete approximation to the Einstein equations, based on the Capovilla-Dell-Jacobson form of the action for the Ashtekar variables. This formulation is analogous…
gr-qc1993★ 26 cited
Finite, diffeomorphism invariant observables in quantum gravity
Lee Smolin
Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to a…