The next logical step after this is a space elevator. Because the structure is mechanically linked to the rotation of the planet below, you can achieve orbital

The next logical step after this is a space elevator. Because the structure is mechanically linked to the rotation of the planet below, you can achieve orbital velocity simply by climbing up to geostationary altitude and pushing off. I'm almost certain that there are physical limits that prevent such a thing from forming naturally, but I don't know how close to it something like a mountain can get without collapsing under its own weight.