PeterDonis
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Chronos said:Assuming all matter eventually evaporates [via Hawking radiation by black holes], the universe would then be empty of matter [a Milne universe]
This doesn't seem right. The universe after all matter has evaporated via Hawking radiation is not empty of stress-energy; the stress-energy is just in the form of radiation instead of matter. In the Milne universe, there is zero stress-energy (since the Milne universe is just Minkowski spacetime in a different coordinate chart).
Chronos said:which would [presumably] resemble the state of the universe prior to the big bang
I assume by this you mean the state of the universe prior to inflation starting? Or are you assuming some other model? If you mean the state prior to inflation starting, that's not the same as the Milne universe either (or the same as a universe filled with Hawking radiation); at least, not as I understand the current contenders for inflationary models.