Not sure if my version of a single time line theory actually exists.?

In the world of quantum mechanics, this appears to not be true. The idea that there are factors that lead to an event that we can't see is called "hidden variables". But tests have been done that yield answers that are inconsistent with hidden variables existing (See http://en.wikipedia.org/wiki/Bell%27s_theorem)

So for quantum events (such as the timing of nuclear decay), there does not appear to be any information for the prediction of a specific event, only probabilistic ones.

EDIT: It may be difficult to follow, but the link to Bell's Theorem has a lot of background on this. It turns out there was another way to test this.

Bell designed a thought experiment about what would happen with correlated electron spins in a detector at odd angles. It turns out that even without trying to understand why any given electron has a specific spin, we can make predictions about what happens over time with how the spins correlate. And if there is a "real" reason for a spin to be in a particular direction, then we would see one distribution, while QM predicts a different distribution.

And as it turns out, the experiments are always consistent with QM, and not with QM effects being predictable ahead of time.

This takes the effects seen by QM from one where we simply don't have enough information to one where there is no information to be had! This is profoundly different from how we interact with the macroscopic world, but by all experiments is exactly how the universe behaves at small scales.

EDIT:

This isn't chaos theory. Chaos theory has at its heart that small changes in initial conditions lead to large changes in the state of the system after a characteristic period of time. This means that anything less than perfection in understanding the initial state will allow only a finite period of time for useful predictions. But there is no explicit barrier to theoretically achieving such knowledge.

With Bell's theorem, there is now evidence that the universe acts in a way where the initial conditions *cannot* be used to predict future states with any certainty, only probabilistic. That there is no underlying information that will yield additional understanding of future states.

It sounds as if you have many questions and queries of a philosophical nature. You will find all the answers to your questions in Scientology.