Let's take a piece of paper and plot a couple of dots in it. If we shrink the paper infinitely, at some point it would reach a state of infinite density, that is; a Singularity. But even at that state, if we could look infinity close, we will be able to see the dots in it, right? What I'm trying to prove is, even when the universe was at a singularity, the entire universe should have existed inside that singularity. I know it sounds crazy, but that singularity could have all space and time inside it. Every single atom in the universe could have been present inside that singularity. Thus, that singularity cannot be the beginning of the universe and time.
Is this possible?