> The moment you enter a compilation unit (assuming no link optimizations) with a state which at some point will run into undefined behavior all bets are of. [...] Yes, UB can "time travel"
Close, but not quite. This is a common misconception in the reverse direction.
Abstractly, what UB can do is performing the inverse of the preceding instructions, effectively making the abstract machine run in reverse. However, this is only equivalent to "time-traveling" until you get to the point of the last side effect (where "side effect" here refers to predefined operations in the standard that interact with the external world, such as I/O and volatile accesses), because only everything since that point can be optimized away under the as-if rule without altering the externally visible effects of the program.
As a concrete, practical example, this means the following: if you do fflush(stdout); return INT_MAX + 1; the compiler cannot omit the fflush() call merely because the subsequent statement had undefined behavior. That is, the UB cannot time-travel to before the flush. What the program can do is to write garbage to the file afterward, or attempt to overwrite what you wrote in the file to revert it to its previous state, but the fflush() must still occur before anything wild happens. If nobody observes the in-between state, then the end result can look like time-travel, but if the system blocks on fflush() and the user terminates the program while it's blocked, there is no opportunity for UB.