One solution to the "quantum measure is continually diminishing" problem was to note that as the measure of the universe diminished, it would eventually get so low that that any alternative, non-measure diminishing theory, not matter how initially unlikely, would predominate.

This is related to the doomsday argument. Once you accept the idea that you can use your existence as evidence, you can show that the total measure of consciousness in the universe must be finite, otherwise you would not be within a googolplex years of the big bang. This disproves the increasing quantum measure theory.