May I strongly suggest you to read Asimov’s short story The Last Question for an answer. https://users.ece.cmu.edu/~gamvrosi/thelastq.html https://users.ece.cm

May I strongly suggest you to read Asimov’s short story The Last Question for an answer. https://users.ece.cmu.edu/~gamvrosi/thelastq.html https://users.ece.cmu.edu/~gamvrosi/thelastq.html tl;dr: likely as long as the lifespan of the universe.