It is well known that black holes have long life. It is hypothesized that black holes' conglomerates lead to a singularity which will be the end of our universe and, in my opinion, the point of beginning of a new one. However, if black holes generate stars, that may not happen, then we are back again a the cosmological constant. But what's about the greater entropy. This inexorable physical law of themodynamics states that every system tends at its own destruction and that no system can live forever, (it is the way that Mother Nature provides for its freshness). The universe, as an entity ("something that exists as a particular and discrete unit" (AH dictionary)), will not escape to this law. If it is such, black holes shall engulf its own stars. All this is, thus, probable, but not at all certain.
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