The recent posts on "Does provability matter" prompt the following.
If information can be defined as the single valued resolution of an issue then it would seem to me that information is actually consistency. The only way I can see for all information to equal no information is for there to be no consistency. The Everything then would be definable as the total absence of consistency. The first victim of this would be provability. The second victim would be computability - the first output to have a stable prefix would represent a consistency - thus no stable outputs possible even if given all opportunity to stabilize. This means no computers of any sort including the UD. This brings me to my point of view in which evolving universes must have a true noise content in the rules for selecting their next state and no histories - just isolated moments. What are the characteristics of an evolving universe that can support SAS? Universes that support SAS would seem to need a low level of true noise on the large event end of the scale and the rules of moment to moment succession required by this should impose a low level of one bit [small end of scale] events as well since few would fit the rules. The bit string descriptor of such a universe should need to have a decreasing internal correlation and an increasing length as the universe goes from moment to moment in order to have space for the accumulating results of the true noise thus a Second Law of Thermodynamics, an arrow to "time", and a quantum mechanics coupled with a unifiable relativity. Hal
