Some ideas re histories and universes:
Universe: A universe is defined by its current state.
Identifiable past history: The prior state can be fully determined from the
Identifiable future history: The next state can be fully determined by the
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
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.