One of the biggest problems of a space elevator concept is that the elevator would have to be centered on the equator, and its tethers would pass through the Van Allen belts that contain super charged particles that are caught in eddies in Earth's magnetic field. A space elevator traveling up and down the tether would have to pass directly through the wide belts at a relatively slow rate in comparison to a spaceship, meaning that any passengers on the elevator would have to pass through the belts of highly charged particles for a dangerously long amount of time.
The belts are constantly changing with a mix of super-charged particles. Could the belts discharge each other if we connect them with a conductive conduit? If so, then would it be possible to make parts of the space elevator/tether conductive so the two belts would dissipate each other?
What if there is only one large belt at a particular time? Would we need to stop the elevator until the belt splits into two?