I'm not talking about God in the traditional sense. I find that too repulsive. I'd rather think of God in terms of a force, such as a Unified Field/Superforce. An initial cause. I'd prefer to extrapolate a God-like thing, from something that is somewhat known, than to rely on history/writings which I also find repulsive. If I am to pursue this "God" at all. As I said, I would not assert the existence of any such thing, it is merely a theory.
An infinite chain of Big Bangs is a different theory. That fits with M-Theory. In which our Universe would be part of a Multiverse. An infinite number of Universes existing in the Bulk. Which also yields the possibility of an infinite number of God-like forces.
...I look at "The Program" as a complete trans-temporal "machine" where given enough time all potential geometrical and mathematical interactions will eventually happen in a discrete frame of space...and it probably goes forever repeating itself again and again...no need for "beginnings" or "ends" nor "Gods" in the equation.
When you combine statements such as "given enough time", and "no beginnings or ends". It sounds as though you are mixing finite linear time with eternity. While one can be measured because it has frames of reference(past, present), the other has no such reference, so statements such as "given enough time" refer to a segment of time which can only be measured in a linear timeframe. Any such attempt to extract a segment of time from eternity is arbitrary. Events require time in order to occur, but time itself seems to lose any value in the context of eternity. And when you speak of all potential interactions happening, you are setting limits within eternity. Wouldnt it make more sense that an "infinite" number of events occur in an eternal timeframe?
I think eternity needs to be better understood. To me it seems more magical, than reasonable. Maybe you could give a more elaborate decription of your particular abstraction of time within which these events occur. Just to say "no beginning or end" or eternal, leaves a little to be desired. Its like saying "God". A very vague concept. Maybe eventually, given enough time, abstract ideas such as these will have more elaborate explanations. But I won't hold my breath.