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Follow up to this question here: If the universe is flat, does that imply that the Big Bang produced an infinite amount of energy? As I understand Inflation theory, some time after the Big Bang, the universe was curved and closed. Then, some magical field started up at exactly the right time and made space expand until it was flat.

A flat universe must have a total amount of energy that's infinite (or zero, depending on who you ask). How did we go from the finite amount of energy in the closed universe of pre-Inflation, to an infinite (or zero) amount of energy? Seems like there's a fundamental problem with Thermodynamics.

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If the universe is flat, then it is also infinite in extent (barring some exotic topologies).

If the universe is infinite, then it always has been infinite.

I suspect that your question stems from the mistaken assumption that the Big Bang happened at a point. At the moment of the Big Bang, the scale factor was zero, and every point in the already infinite space started expanding.

For more a detailed explanation, see Did the Big Bang happen at a point?

D. Halsey
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