Carbon Nanotubes have a strength:weight ratio of 64: theoretically, they could have more possibly, just the ones we make max out at 64.
If we can weave them into a cord, and manage a strength:weight ratio of 50 to 100, it is engeneering and economic possiblity to build a beanstalk.
At 50, the beanstalk will be expensive and hard to make. At 100, it starts getting downright affordable.
Given that 100 years ago, the best strength:weight materials we had where around 2, I think we might be able to pull it off in another 100 years.
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I wish I could live longer and see what's going to happen....
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If you are young, live a clean and healthy life, and get wealthy. We can double the lifespan of fruit flies and rats using breeding and/or changing their lifestyle. There is a non-zero chance life extension might be practical before you croak.