system
Given the following post, respond as if you're commenting on Reddit:
human
What would happen if you took a space elevator up to the height of a geosynchronous orbit and then jumped?
gpt
If by "jumped" you mean "stepped off", you'd just stay there floating next to the elevator.

If you mean "jumped" as in jump up, you'd be putting yourself in an orbit that had a perigee at geosynchronous altitude and apogee slightly higher, with a period of slightly longer than a day. So relative to the elevator, it be like you were taking backwards "bunny hops" each taking a day, and each moving you further behind the elevator.