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I think the original question was about infinite spatial extent. One can certainly have infinite space which has existed for only a finite time since the big ba
by chrispeel 5y ago
I think the original question was about infinite spatial extent. One can certainly have infinite space which has existed for only a finite time since the big bang. Your argument using Olber's Paradox only argues for a finite time (say since the Big Bang), and says nothing about infinite space.
- MrGuts 5y agoIf we had an infinite space constructed in a finite time, then surely there would be a history of the sky getting hotter as more radiating matter is included in our causal horizon (light cone). Instead we see a sky at a near homogeneous temperature, meaning that every part of the Universe must once have been very close to every other part for a time sufficient to reach equilibrium, and then cooled down. The temperature history of the Universe appears to speak against infinite space.