PeterDonis
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CaptDude said:(1) The big bang did not happen in space, it happened in time.
Your follow-up question here shows that you are uncomfortable with this idea, which you should be. You are right that space and time go together.
CaptDude said:If #2 is correct, then space (all places) was (were) created at that moment so that we say “the big bang happened everywhere at once”
This is correct as far as it goes; but you have left out one thing, which phinds mentioned: the Big Bang created time as well as space, because it created spacetime.
The only potential issue with this way of putting it is that the word "created" isn't really the right word, because it implies that spacetime was created from something else. A better way of putting it would be to say that the Big Bang is a boundary of spacetime; and since all spatial locations in spacetime are "next to" the boundary at the instant right after it, the Big Bang happened everywhere at once.