Dear Bruno and Stephen: Since I think I have just about finished explaining my model to myself perhaps I can now do a better job of explaining it to others. So here goes.
1) The first thing I consider in need of basis is: There is a dynamic within the system [The machine(s) change state]. I start my basis for this with my own concepts for factuals and counterfactuals. A factual in my model is a piece of information. An example would be: All numbers exist. A counterfactual in my model is a piece of information that is the "not" or negation of part or all of a factual. An example would be: All numbers do not exist. A factual that is completely negated by a collection of counterfactuals is itself a counterfactual. Together these counterfactuals form a set. The first level of the model is the ensemble of all counterfactuals. It contains no information. Call that the Everything. Now we may have forged a problem. To say: The Everything exists is a factual. This by itself is not in keeping with the objective of working with a zero information system. Does it have a counterfactual. Yes: The Nothing defined as the absence of factuals of any sort. So we allow that the Nothing also exists. Now note that since both the Everything and the Nothing are counterfactuals they are both in the Everything. The Everything is a member of itself - over and over. This association is thus infinitely nested as is the boundary between the Everything and the Nothing. Now switch to the idea of selection. The Everything can contain no selection since any selection would constitute a factual that is absent a counterfactual which is not allowed. Thus the Everything/Nothing boundary must not have a selected configuration or a selected evolution - it must randomly shift. The shifting boundary exposes some of the counterfactuals in the Everything to the Nothing. During this exposure such counterfactuals approach an incomplete negation - their negation becomes fuzzy. What we consider our reality [our universe] is one of an infinite number of similar realities that are emergent as isomorphisms to this randomly shifting fuzz [a seething foamy fractal]. 2) The next thing I see in need of discussion is whether any members of this ensemble of universes are in some way subject to input from the underlying random dynamic. This input would be as input from a random external oracle - true noise. The primary tool I use is the need to avoid a selection. The conclusion is that either none of them are subject to this input or they all are. To have some subject to this input is not allowed if selection is to be avoided. Is there any reason that a universe might be subject to this noise? A universe in this model that has an evolutionary history must have found a series of successive isomorphic matches to the random dynamic of the Everything/Nothing boundary. While noise free universes might have short histories, those with long histories would tend to be those subject to noise. It would be a bit like natural selection for such a trait but is really an initial feature. I take this to be sufficient basis given the need to avoid selection to hold in the model that all evolving universes are subject to true noise. 3) The next thing to explore is the nature of the rules in each universe that guide its range of next possible isomorphisms [states]. Each current state has its own such range. More later. Hal
