Some ideas re histories and universes: 1) Definitions:
Universe: A universe is defined by its current state. Identifiable past history: The prior state can be fully determined from the current state. Identifiable future history: The next state can be fully determined by the current state. 2) If a universe has an identifiable past history associated with it then there is a halting algorithm that allows that identification decision. This algorithm must be able to check that past history and to do so it must be able to compute that past history given the current state as data. 3) This same algorithm may or may not be able to compute the future history of such a universe because the universe's rules of state succession may change or acquire some degree of "do not care" i.e. develop a random content allowing in true noise as a result of the state shift. 4) If a universe does not have an identifiable past history but nevertheless has evolved then it has a past history but there is no algorithm that can compute it. Such a universe must currently have rules of state succession that allow in some degree of true noise. 5) There can at most be a countable infinity of universes with identifiable and thus computable past histories, future histories, or both because that is the limit on the number of halting algorithms. 6) On the other hand there can be an uncountable infinity of universes that have unidentifiable and thus uncomputable past and future histories. 7) Universes which always have identifiable past histories and/or future histories even if only countably infinite in number represent information in the Everything as they require it to contain a computer - a UTM - that has a parsed application - a selection. However the Everything has no information - no selection - so such universes are not present. The Everything can contain a UTM if universes with identifiable past histories act as seeds for universes that have unidentifiable past histories. In effect the UTM [or UD] spawns Big Bangs [in my model isomorphic links or interpretations] which then evolve with true noise input. This transition to having a true noise input converts their identifiable past history into an unidentifiable one and they thus join the uncountable number of universes with unidentifiable past and future histories - those whose rules of state succession require true noise input. Hal
