Dave Dyer <ddyer@real-me.net> wrote:

You and your partner are located at separate locations somewhere in the milky way galaxy. You have a ship capable of acceleration to light speed in negligible subjective time, and a beacon that can be detected over any distance its light reaches.

Rendezvous for a victory drink before either of you dies of old age.

I'm assuming you mean that both parties have ships that can accelerate and decelerate an unlimited number of times and can travel at any speed less than that of light. (If, as your statement seems to imply, your partner has neither a ship nor a beacon, your partner has a negligible chance of finding you or of being found by you. (This is math, so I won't say zero or infinitesimal. You could just stumble into each other by chance. But that's very very very very very unlikely.)) Set your beacon where you are, at rest relative to the center of the galaxy. Fly in tight circles around it, maybe one light-day out, at close to c. (If you can survive a near-instananeous acceleration to close to c, you can certainly survive flying in a tight circle.) Your partner travels to the center of the galaxy, or as close as is safe, then flies in a tight circle at close to c until they detect your beacon. Your partner travels to your beacon, then switches it off to signal their arrival, then switches it back on so you can find it again. As soon as you detect that it's been switched off and on, you fly directly to it. Total subjective time, well under a week. Was that your intended solution?