Hello folks, here is my take on the quandry.
I think what Justin and others are trying to say is that the equations that govern the Universe are undefined beyond a certain point. Time and the three dimensions that we see are a continuous function only so far. As a result, at the point of discontinuity and beyond that point, the equations that we have are no longer valid and what is on the other side could be almost anything or nothing.
The other way to look at it that I have heard that may be a little more visual is to compact dimensions such that the four dimensions of space and time that we know of are a single surface. All points in our universe are somewhere on that surface. But you can now imagine a point that is not on that surface (not in our spacetime), that point cannot be described in any coordinate system that belongs to the surface (spacetime/universe)and so is neither greater or lesser or before or after or anything.
I don't know which of these comes closer to what Physicists/Cosmologists think and would be happy for any correction but this is how I understand "the other side of the big bang"