The paper is available at http://www.pnas.org/content/early/2017/10/25/1618854114
I'm not sure I can follow the math, but as presented in the article posted, the explanation doesn't really persuade me. They seem to explain it as a conflict of two opposing factors, some cells slowing down and losing function vs. others accelerating and proliferating eventually becoming a Cancer, so defending against one necessarily promotes the other. Then again there are other multi-cellular organisms that live longer than us [1] which should serve as evidence that there are ways to live that much longer
Remember this is mathematicians speaking and they work to a different mind set to the rest of us. If you managed to extend human lifespans to 10,000 years of high quality living they would immediately declare victory. Anything less than an infinite lifetime means they win!
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[ 4.6 ms ] story [ 13.3 ms ] thread[1] http://www.bbc.com/news/science-environment-37047168