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I read about Penrose's idea of Conformal cyclic cosmology, he suggested that mostly everything at the end of the universe is black holes and empty space and that eventually the black holes evaporate at which time there is only light going through the universe.

Then why does the universe collapse? What does collapse mean in this circumstance? I wish to understand in a realistic physical sense of what is happening in his model at this time.

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There is no collapse. The black holes evaporate, the particles get indefinitely diluted, space expands indefinitely, and time continues to $t=\infty$. Then the state is equivalent to the big bang state, if one rescales the whole thing conformally.

This is probably not a model in "a realistic physical sense" for most people.

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  • $\begingroup$ You say "then the state is equivalent to the big bang state if rescaled conformally". But how the new aeon gets created from this state? And how that radiation of the old aeon forms the dark matter in the new aeon? Or am I asking the wrong questions? $\endgroup$ – virtual82 Apr 3 '19 at 1:29

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