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.