| __Qgravity.org: Technical Summary of Loop Quantum Gravity__ *(Site not responding. Last check: 2007-11-07)* |

| | When applied to spatially **diffeomorphism** invariant functions of the phase space it yields finite operators on the space of diffeomoprhism invariant states, when applied to scalar functions it gives operators on the kinematical state space that trasform under the action of the unitary representation of the spatial diffeomorphsim group. |

| | First, at the level of spatially **diffeomorphism** invariant observables, a sufficient set has been constructed and diagonalized, in closed form, to label a complete basis of states in terms of their eigenvalues, for each of a large set of theories. |

| | **Diffeomorphism** invariant observables are then promoted to physical observables, defined on spacelike slices picked out by the gauge conditions. |

| www.qgravity.org /loop (7364 words) |