Zeno's paradox is actually a logical proof of the impossibility of a continuum. It formulated it to illustrate that MATH is a human mental construct that, albeit useful, has no real correlation to reality.
It proved, long long long before Quantum mechanics, that motion is not linear. And that time is not infinitely divisible.
For thousands of years Zeno's paradox was treated as odd, but clearly wrong...because people believed time and distance were infinitely divisible... because or physics, which assumed they were a continuum, seemed to work.
But QM threw all of that out. We now know of the quanta. and that there are not "divisions' of energy between them...
many theorist suspect that the difficulty in coming up with a unified theory is rooted in the false assumption of the continuum, and are working on 'granular' theory, which describes space as being points of being that have no being between them... like the pixels on your screen.
All proof is founded in observation... and logic. Logic dictates that, for example, two mutually exclusive things can not both be true.
Its impossible.
Infinity is impossible...
And time... it probably does not exist in the way we envision it.
Now changes.
that is all there is to it. No past, no future... just the constant process of present change.