so I'm not a techie, but couldn't something like this work...
several people in different parts of the world (let's say just two for the sake of this post) decide to race on a track at the exact same time. they wear GPS technology. I am alone on my track but the other runner (on another track, on the other side of the world) wears a GPS tracker, and the information from their tracker is immediately fed into some kind of projector on my track which lights up where they are. so I am racing against a hologram or a dot or something, so I know exactly where my opponent is on the track at any time. and vice versa - my GPS tracker feeds into a projector on their track. so we can race each other without ever coming into contact.
would this work? any leads on how it could be done? let me know what you think.