HE-7: The topology of possibility

If the pasta model is correct, then the only way for time travel to be possible is for the multiverse to not be deterministic. The only (believable) way for the multiverse to be probabilistic under the same constraints is if it's a simulation. And it seems to behave like an optimization simulation in general, where the alternative timelines are independent optimizations -- like stochastic sampling.
A multiverse of forks in the road
The logical conclusion is that all choices are thus possible in this multiverse, so there is an infinite amount of alternative timelines. A reason to run the optimization experiment is to see which choices in this network are more popular than others. At the same time we have to be careful not to lean to an extreme of probabilism because that could also remove the need for free will -- if everything is entirely stochastic.
Which brings us to the next question -- could the multiverse be entirely probabilistic?

Simulation or not, the multiverse could be an infinite network of decisions. Which means that each timeline is an independent path through this network.
What happens when you change a decision?
The pasta model makes a little bit more sense now. The multiverse is like a bowl of pasta. Each spaghettus is a separate timeline which is nothing more than a ledger of what decisions were taken and in what order. If you're more visually-minded then you could think as the universe as a pie lattice and the timeline is a unique path through this lattice.
It's all about the carbs, obviously.
Speaking of changing decisions and how you don't really change a decision in this model... what's the role of time travel in all of this? A cool perk?