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## Main Question or Discussion Point

Couldn't it be, that universe merely had greater energy density in the past, and that the energy density is decreasing now? Is there some reasons to assume, that the universe itself was smaller in the past, as the big bang theory says?

Is there also some reason to assume, that the spatial space is compact topologically, like [itex]S^3[/itex]. Couldn't it be [itex]\mathbb{R}^3[/itex] (as it is at least is locally)?

Is there also some reason to assume, that the spatial space is compact topologically, like [itex]S^3[/itex]. Couldn't it be [itex]\mathbb{R}^3[/itex] (as it is at least is locally)?