A Near Infinite Sub universe Simulation Paradox
A few months ago, I read the manhwa called "Concubine Walkthrough," which created a question in my mind that hasn't been cleared yet.
Let's say we are advanced enough to create a god-tier computer with unlimited sources and math capability, in which we started a perfect big bang, creating a sub-universe (U1).
Our computer is good enough that it can accelerate time without skipping anything, so U1 is accelerated till it has the same advanced technology as U0. After that point, the time flows 10x faster in U1.
Then we sent an agent to the sub-universe, and he lived there for 1 year before they created their own simulation with the same exact features, creating U2.
At this point, we are bored and have accelerated the time of U1 once more in U0. The universe of U1 will end in, let's say, 1 week, when the universe of U1 reaches its end.
At this point, though, our agent is in U2, where he lives 1 year (1 year in U2, 0.1 year in U1, 0.01 year in U0) before the next simulation is created, and he enters U3.
Now, every time he enters a sub-universe, the time flows faster and faster, but he still experiences the normal time flow, even when U0 accelerates the time on U1 and all the sub-universes, consecutively.
At this point, the agent should enter the next simulation every year (in the current lowest sub-universe). So, the time will go infinitely faster before the 1 week on U0 is up, and the agent will enter a new sub-universe every year, infinitely.
Supposing nothing goes wrong, the sub-universe should end before the upper universe ends, meaning he needs to reach an end universe before the chain of "ends" starts from bottom up. However, since he is going infinitely down and there is no real "lowest universe" or a final transition from which the agent can say "I have now completed infinitely many universes", there also won't be an end. From his perspective, assuming he is immortal, in 10 years, he will have entered 10 universes. In a million years, he will have entered a million universes.
On the other hand, when we checked from the perspective of the agent living in U0, once the week ends, everything will be over.
Of course, since time doesn't stop completely, it feels like this should only be "close to infinity" and not really infinity itself, which also reminds me of "limit" in math, which I actually have no knowledge of apart from it turning fake infinity (yeah, I have no better term to describe it. I majored in language studies) into 1.
Still, an endless sum can diverge into infinity, while infinity shouldn't possibly be compressed into the finite interval of the upper universe. These also can't be like independent nested clocks since they are actually heavily dependent.
Is there any theory or something explaining this? I learned that a supertask is "infinitely many actions occurring within a finite amount of another clock's time", but I don't know if it is enough to explain this.