A long time has passed since the paradoxes of Zeno of Elea, so now there really is no reason for not accepting that space is infinitely divisible.

The error of Zeno of Elea was that he did not understand the symmetry between zero and infinity (or he pretended to not understand it).

Because of this error, Zeno considered that infinity is stronger than zero, so he believed or pretended to believe that zero times infinity is infinity, instead of recognizing that zero times infinity can be any number and also zero or infinity.

For now, there exists no evidence whatsoever that the physical space and time are not infinitely divisible.

Even if in the future it would be discovered that space and time have a discrete structure, the mathematical model of an infinitely divisible space and time would remain useful as an approximation, because it certainly is simpler than whatever mathematical model would be needed for a discrete space and time.

> For now, there exists no evidence whatsoever that the physical space and time are not infinitely divisible.

What is your evidence for it? You want to make a claim about something being infinite, it is up to you to provide evidence.

> recognizing that zero times infinity can be any number and also zero or infinity.

This statement makes no sense in formal mathematics. Multiplication is a function, which means for each set of inputs there is one output. I imagine you are trying to say something about limits here, but the language you are using is very imprecise.