If, as Luboš Motl says, Poincaré recurrence is relevant for our universe, does this mean (1) that, after I die, I'll one day live through my life again after the same physical pattern that is currently me reconfigures and (2) that I'm thus immortal because this reconfiguration of my pattern will happen endlessly? (Please see Is Poincare recurrence relevant to our universe?)
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This is more a philosophical answer, but it is also more a philosophical question since it is actually the question how you define Immortality.
If you were really reborn after $10^{10^{10^{120}}}$ years, would it still be you? Of course, it will be an identical version of you, but is it really the same you as it was $10^{10^{10^{120}}}$ years ago? This problem has been discussed in philosophy a lot of times, and became known as the Theseus' paradox, but that was about rebuilding a ship rather than a person.
In this case, your reborn is qualitatively identical, but not numerically identical.
wythagoras
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In any number of different types of multiverse, "you" will recur with all possible variations and every path taken. The most familiar is the MWI of QM and things like Quantum Immortality and Quantum Suicide. At least with the latter you may get to subjectively verify its truth.
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In the block time perspective, there is no special status for "now", as the past, future and present are all equally real. Therefore, in case of Poincaré recurrence you are not going to relive your life again, rather you should picture yourself as being in all these possible future and past states simultaneously.
Count Iblis
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