I don’t remember the exact math, but I believe that it was shown that in an expanding and cooling universe, the amount of energy available at any one spot drops over time, but so long as some distant future energy could slow down it’s thinking process and energy use arbitrarily, that you could live forever in subjective time by steadily slowing down the objective speed of your thought process over time. The Last Computer (or energy being, or whatever) would objectively go a longer and longer time between each thought, but from a subjective point of view it would be able to continue forever.
Of course, if the rate of the universe’s expansion steadily accelerates indefinitely, that might not work, energy might fall off at too fast of a rate for that to be possible. We don’t really know enough about dark energy yet to know how that’s going to go.
I don’t remember the exact math, but I believe that it was shown that in an expanding and cooling universe, the amount of energy available at any one spot drops over time, but so long as some distant future energy could slow down it’s thinking process and energy use arbitrarily, that you could live forever in subjective time by steadily slowing down the objective speed of your thought process over time. The Last Computer (or energy being, or whatever) would objectively go a longer and longer time between each thought, but from a subjective point of view it would be able to continue forever.
Of course, if the rate of the universe’s expansion steadily accelerates indefinitely, that might not work, energy might fall off at too fast of a rate for that to be possible. We don’t really know enough about dark energy yet to know how that’s going to go.