Space elevators work under the same concept that the batman vehicle claw works. That being batman shoots out a claw attached to a cord that helps him turn his vehicle around very quickly. The problem isn't the physics or the math, the problem is materials science explains that the cord will not hold up. A space elevator hides its problems under that same materials science issue, you need a cable that can remain in tension and support not only the entire length of the cable but also the force of constantly being flung around the earth at over 1000 mph.
Sure, we could use unobtainium and claim that in the future we'll go to pandora and get it to build our space elevator... but real world materials science keeps crushing this as a pipe dream.
I am not wondering why flying cars haven't happened... I know why, because the cost of flying is significantly more than the cost of driving such that only rich people can actually afford flying cars. We created the idea of a future that made no sense when people went about thinking we'd all be traveling by air; similarly how it makes no sense that space will ever be something that the common man would have access to.
The best parallel to space is the ocean, and how many people have ships capable of sailing from continent to continent?
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