NancyLebovitz comments on Open Thread Feb 29 - March 6, 2016 - Less Wrong Discussion
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If you mean literally forever, I think the odds aren't good. Admittedly, physics is somewhat in flux, but there doesn't seem to be any guarantee that there will be a universe which which has continuity with ours trillions of years from now, though millions shouldn't be a problem at all.
Also, I'm not sure what survival means for the very long haul. You might have a consciousness which has continuity with yours millions of years later, but I suspect there would be so much change that your current self and your far future self would have little or nothing in common.