[seanhunter]

Why would there be no time and space just because there's only a single one point particle? The empty space around the particle would still exist. Why would there be no time? Time could still be moving forward even if the universe consisted only of a single particle.

Edit: Unless you're saying that the coordinates system is such that the universe literally consists only of that single particle and has no time dimension, in which case your thought experiment is inadequately specified because you need to say how the expansion of the universe happens such there is something for another particle to come into existance in.