Heh, we are drifting a little afield of the OP. I’m keen to follow, though.
Many worlds is an interpretation of a model, more than a theory in and of itself. I think it has fallen out of favor. It doesn’t call for a creation, so-to-speak, more like a forking. Every quantum outcome actually plays out, infinitely splitting earlier moments so they can all be realized. The energy budget of any single universe is constant. It is an awful lot to take on board just because we have a model that appears to show a wave-function collapsing at measurement. The more I’ve researched this, the more I’ve settled into the instrumentalist camp, when it comes to physics equations.
The second law of thermodynamics doesn’t apply to the universe as a whole, since the universe is likely not a closed system. People worry about this one a bit too much I think.
I don’t find multi-world or even alternate timelines very likely. It’s a completely ungrounded concept. My own sense of time travel, if it were possible, is that it would have to exist within a single timeline. Quantum mechanics, as
@Onyx noted, does allow for uncaused events (radioactive decay, virtual particle formation, tunneling, etc), and it does allow for matter to spontaneously jump into a state that happens to match a fully formed human with memories of their travels through time. The odds are zero, for all intents and purposes, but it is not disallowed.
Seems to me this cleanly solves the grandfather pradox. Once you go back in time, you seize to be a part of the causal chain that brought you to the moment of departure (which, by definition, must be forward-facing in time), and you appear, as far as that past is concerned, as a remarkable, but random, quantum event. Now if you kill your grandfather, future you is never born, but time traveler-you is not causally linked, and lives on. For all you know, traveler-you actually is just a quantum anomaly and your “memories” are just down to the state you brain popped into.
I’ve also wondered what role uncertainty might play. Perhaps the more tightly you control the time or position of your arrival, the less you can control the energy or velocity you have when arriving. I always thought this would make for an interesting short story.