dt's entire argument just comes down to the difference between infinitely small and zero. If we can accept that infinitely small is not the same as zero (god I hope everybody here knows that) , then literally all counters made fall apart
infinities have different values, which goes for infinitely small values too
but there is only one zero, and it's the smallest you can get, completely nonexistent
So in which number system do you operate for "infinitely small is unequal zero"? Because, as I demonstrated, in the real numbers you won't get the distinction in question and the real numbers are the only thing speed ever gets defined in, in real life. (in the real numbers infinitely small is equal to zero, as I can easily prove if that convinces you that the speed tiers are the same thing)
That's the problem is that all these infinite vs inaccessible arguments: They are made from belief and only half thought through. The moment any mathematical rigour is put to the matter nothing works out the way the simplified mathematical understanding the claims are based on makes you think.
Yes, infinities have different values.
The difference between dimensions is only a matter of different infinities in a simplified terminology. It actually has to do with measurement theoretical comparisons of different volumes, which actually uses just one type of infinity.
Cardinals exist with different levels of infinity, but cardinals express
how many of something there is. They can't be used like real numbers.
Neither of these concepts can simply be applied to different speed levels to get different infinite speeds and much less can it be proven that they relate to moving in 0 time.
Heck, none of the proposals I have seen put any actual number on moving in 0 time. If this is an issue of different infinities, can you actually name the specific infinity that is inaccessible speed? I have shown mathematically that it doesn't work within the real numbers, so if that is disregarded by saying the modeling assumption of using real numbers is wrong, I would like to see an alternative mathematical model and proofs within it that demonstrate the speed tiers different.