Currently, there are no known black holes that are large enough to harbor life. So life exists freely in the spacetime outside black holes. In the far, far future however, black holes will grow huge, time will dilate, and the event horizon will form a relativistic shell with a flat interior spacetime. Inside, galaxies can coalesce from baryonic Hawking radiation, and evolve life anew. I don't see how this process of renewal would be survivable however. Otherwise there would be infinitely old lifeforms in the universe, and still more lifeforms that are infinitely old-times two. If life didn't die in the end, then eventually all matter and energy in the universe would be appropriated to serve and maintain it. From the Fermi's paradox, that isn't reality as observed. Not all things in the universe are alive.

The question one might ask is: Would life exist both inside and outside the black hole for a time? Or would it be ages from extinction on the outside until life arose again on the inside?

Another question is: Even if the material contents and dynamics of the new universe are determined by the state of the stellar mass prior to supernova, how are the laws of physics themselves set? Is there a purely mathematical aether underpinning all universes, no matter how deeply nested within each other? Could there be an evolution from one to the next, based on increasing complexity or emergent properties?

Ponderous man, really ponderous.