The fundamental shape of our spacetime is such that it isnt possible to exceed the speed of light in vacuum.
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If our space time vacuum is like the skin of a balloon expanding—then is it is unlikely that our spacetime vacuum is leaving behind a space time vacuum and expanding into a space time vacuum.
While telescopes have been pointed to the galaxies that are furthest away. I have not seen pictures of the direction of space from which the presumably the big bang originated.
But you have!
Because of the finite speed of light, when you see a galaxy 14 billion light-years away, you are looking at something that existed 14 billion years ago. You are looking into the past. All of spacetime: both space and time are moving away from the Big Bang. When you look at a galaxy 14 billion years ago, you are looking in the temporal direction of the Big Bang.