why? I would experience art, learn, see discoveries, live in the future, hopefully participate in space exploration, and enjoy virtual worlds, create new ones. imagination helps.
also consider all the art, from mozart to renoir, greek mythology, epic tales from odysseus to king arthur, movies, star wars, history, science, apollo moon landing, video games, telescopes, microbiology, flying on a plane, a hanglider, scuba diving, etc etc
now imagine how a caveman would imagine it would be boring to live in the future because he is projecting his limited experiences as what living in the future would be, he would not have imagined all the stuff mentioned above, similarily there might be epic tales and facinating experiences we could hardly imagine in our own world now.
As for ephemerial relationships i would cherish them like shooting stars. And episodes from your favorite tv series end, it doesnt prevent you from enjoying them.
bored? no problem, i would use the sleep technique/implant available in 3128 to sleep for 68 thousand quadliion years, wake up, then crack up at Ricky Spacey formidable joke about 2 Trolondarites and a meta boron in a bar, then remember a number of interesting stuff i never knew about in 2641, then go back to sleep for eons
