Look, I’ve got a bit of a geeky fascination with the idea of a space elevator. Now practically speaking materials science is not there yet. It may never get there. But one of the things that needs to happen is the creation of a material that is super strong and light in order to act as the tether for such a device. Carbon nanotubes offer this potential. And now some very smart people have figured out how to make threads of the stuff continuously. At the moment the application is electronic, but the potential is huge. if you can weave cables out of this stuff then a space elevator is not such an impossible dream.
Carbon Nanotube Threads