Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant

We consider general relativity with a cosmological constant as a perturbati ve expansion around a completely solvable diffeomorphism invariant held the ory. This theory is the Lambda --> infinity limit of general relativity. Th is allows an explicit perturbative computational setup in which the quantum states of the theory and the classical observables can be explicitly compu ted. An unexpected relationship arises at a quantum level between the discr ete spectrum of the volume operator and the allowed values of the cosmologi cal constant.