We study various probability measures for eternal inflation by applying theirregularization prescriptions to models where inflation is not eternal. Forsimplicity we work with a toy model describing inflation that can interpolatebetween eternal and non-eternal inflation by continuous variation of aparameter. We investigate whether the predictions of four different measures(proper time, scale factor cutoff, stationary and causal {diamond}) changecontinuously with the change of this parameter. We will show that {only} forthe stationary measure the predictions change continuously. For the proper-timeand the scale factor cutoff, the predictions are strongly discontinuous. Forthe causal diamond measure, the predictions are continuous only if the stage ofthe slow-roll inflation is sufficiently long.
展开▼
