If you're currently imagining an elevator in the Burj Khalifa skyscraper in Dubai, you're still keeping close to the ground. The American company LiftPort Group has plans that are more than ambitious. They are preparing a project for an elevator from Earth to the Moon, which would make it possible to transport raw materials mined on the Moon down to Earth. 
Does it sound more like the plot of a sci-fi novel? Not at all, the LiftPort Group company has it well thought out. It takes advantage of the fact that due to tidal locking, the Moon always shows the same face to our home planet. Therefore, if the elevator cable were attached at one end on the Moon, and the other end at a fixed point that doesn't move relative to the Moon's surface, then the lunar elevator project is at least theoretically feasible. 
In the Earth-Moon system, there is supposedly only one such fixed point where the elevator station could be located: the Lagrange point. In celestial mechanics, in a system of two bodies rotating around a common center of mass, this is a place where gravitational and centrifugal forces are mutually balanced and stable. So we have a fixed point, what remains is to solve the method of transport from Earth to the station located there, implement the entire project, and busy traffic from there by elevator to the Moon and back can begin. If the elevator to the Moon caught your interest, check out the video. red, photo archive Liftport