I've been thinking about this thought experiment I've been calling **Zeno's Time Capsule**:

Zeno's time capsule is a machine which can contain stuff and when it closes, its internal relative rate of time increases to, then decreases from, a finite time singularity at some time, say 30 minutes in, until finally opening at t = 1 hour from an external perspective

So, to be clear: you put something in the time capsule at t = 0, the capsule closes and the rate of time inside the capsule starts increasing. At t = 30 minutes the capsules internal rate of time is mathematically infinite, then its rate of time slows until it is a regular 1-1 with the rate of time outside the capsule at t = 1 hour, and then the capsule opens

The rate of time inside the capsule is how fast a clock inside is ticking relative to outside the capsule. So, a clock with a rate of time twice that of the external rate of time would be going twice as fast and 1 hour outside the capsule would feel like 30 minutes inside the capsule; and for every 30 minutes outside the capsule, inside the capsule would have gone 1 hour

So if you put a immortal, indestructible, perfect clock in the capsule and let the capsule go through its thing, the clock on the other side would have a mathematically infinite age. What would the clock say the time is, though? You could probably make a symmetry argument and say the time would be the correct time. But, I think, any answer wouldn't be any more or less surprising than any other answer, so all answers might be considered equally correct. Its very convenient that our real physical reality apparently chooses outcomes randomly (or does all outcomes simultaneously itc of mwi). How nice of the universe for providing such neat guard rails to maintain timey singularities' information firewalls

That's cool, but say *you're immortal*, and you entered the capsule... When the capsule opens after 1 hour, what do you remember? Assuming you haven't gone completely insane

The 1 hour mark probably isn't anything really special or unique itc. If you prematurely open the capsule arbitrarily close to, but before, the singularity point, and any time after the singularity point, the person inside will *probably* say something like: "I don't remember much before a billion years ago, and I don't remember anything before a hundred quadrillion years ago". Even if you prematurely open the capsule arbitrarily close to, but after, the singularity you will still *probably* get the same answer (I imagine)

This is interesting because theres probably a way for *any* immortal person to comfortably ride through the time capsule: inside the time capsule is another machine (that's indestructible, etc) that just resets the person's memory when used. So every 1 week or whatever the machine resets the person's memory, and so at no point does the person feel they've been in the capsule for over 1 week. This is Zeno's *Humane* Time Capsule

Obviously even if you go for the full ride and do the capsule without the memory-reset machine, there isn't really anything to remember from inside at the external t = 30 minute mark. Even if there was an "event" at that time, and you put aside some sort of special machine to remember just that one thing, if there's any chance *at all* you will misclassify another event as the one event at t = 30 minutes, then its absolutely guaranteed you will have done so

And, even if you had a clock that gave the real outside equivalent time inside, disregarding exotic explanations of whats happening, you most likely would *never* see the t = 30 minute time. You would see every time arbitrarily close to the t = 30 minute time, include times where the machine literally cannot display how close you are to the t = 30 minute mark, and may even round the time to that point because of that, but you won't see the exact t = 30 minute mark