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I think the problem is that you are imagining the Big Bang occurring as a classical explosion with a center in three-dimensional space. The Big Bang was a rapid expansion of space itself. The best analogy I've heard of is to imagine our entire three-dimensional universe as being the two-dimensional skin of a balloon, with the inflation of the balloon representing cosmic expansion. Points on the balloon's surface grow further apart from each other over time, but the center of the expansion is not located anywhere on the balloon's surface.
I've been considering the "balloon space" theory since it was invented, and do not buy into it.
. For example, a 2-D sheet of paper lying flat on a surface, can only be curled if it also exists within a 3-D space. This is intuitively obvious.
So you can think of it differently, not as dimensions at all. More as if it was 'dots' waiting to be connected into something making sense. And 'c' is what makes it making sense there.
And 'c' is what makes it making sense there.
Where it leads you if you think that way, is the conclusion that the whole idea of 'dimensions' could be seen as a artifact. Doesn't say they aren't real, but it would be a emergence instead of a origin.
It also will help one with the idea of a 'infinite universe', as that is what it would be in this case. It's communications defining it, time as well as the other three 'dimensions', and they becomes equally true, in a way similar to 'SpaceTime' thought of as a 'whole'.
And there's no way for you to return to the same point in a 'SpaceTime'.
But it helps getting one around the slightly flawed Balloon analogy