STABILIZED QUANTUM-GRAVITY - STOCHASTIC INTERPRETATION AND NUMERICAL-SIMULATION

Following the reasoning of Claudson and Halpern, it is shown that ''fifth-time'' stabilized quantum gravity is equivalent to Langevin evolution (i.e. stochastic quantization) between fixed non-singular, but otherwise arbitrary, initial and final states. The simple restriction to a fixed final state at t5 --> infinity is sufficient to stabilize the theory. This equivalence fixes the integration measure, and suggests a particular operator-ordering, for the fifth-time action of quantum gravity. Results of a numerical simulation of stabilized, latticized Einstein-Cartan theory on some small lattices are reported. In the range of cosmological constant lambda investigated, it is found that: (i) the system is always in the broken phase [det(e)] not-equal 0; and (ii) the negative free energy is large, possibly singular, in the vincinity of lambda = 0. The second finding may be relevant to the cosmological-constant problem.