The universe has boundaries but it's a little more complicated than it sounds. The idea of the universe expanding like an explosion with everything moving away from a central point is a common misconception, The universe is actually expanding from every point in all directions, this means the centre of the expansion is not in our three dimensions. Imagine drawing points on a balloon and then blowing it up - as the ballon got bigger the points would all move away from each other, the centre of this expansion is in the middle of the ballon not on it's surface where the points are, I think this may make things a bit more confusing - sorry
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