If the age of the universe is finite, which is generally believed, then no matter how fast it expands, it can never become spatially infinite, So,* IF* it is spatially infinite, this must have been its initial condition at or around he time of the Big Bang (BB). But this contradicts the assumption that it was at a super high temperature at or around the time of the BB. IOW, if we run the clock backward, the universe seems to get incredibly small, and for *this reason* incredibly hot, roughly analogous to a highly compressed gas. Therefore, it cannot have a flat global geometry, since such a geometry is infinite in spatial extent. QED. AG
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