You might be interested in Roger Penrose's ideas about "Conformal Cyclic Cosmology".
As best I understand, he's proposing that the universal will not ever fully collapse into a black hole. On the contrary, it will continue to expand and diffuse, eventually reaching a state in the far future—and here is where the details exceed my understanding—somehow physically/mathematically identical to the conditions that were present at the Big Bang. Or in other words, if you run time out to an infinity in one direction, it sort of "wraps back around" on itself.