It's a fascinating idea, that of an indefinitely-continuing Long Strange Trip. What could it be like in 2052 A.D.? Maybe there could be annual all-star tours (similar to those of "Experience Hendrix") featuring that generation's best jamming artists/bands performing the music of the GD. Or perhaps Dark Star Orchestra and other GD tribute bands will carry the torch.
Or in 2052 A.D. and beyond could there still be a band called Furthur, just as now there is still a team called the Boston Red Sox, a program called Saturday Night Live, etc. (though none of the players/performers are the same as in the beginning) ? "Furthur" would be a very appropiate name for such a band, because:  in 1964 Roy Sebern painted the word "Furthur" on the destination sign hung on the front of the Merry Pranksters' bus, so the goal was not merely for that bus to reach New York, but rather just to keep going. . . and going. . . and going. . ., and  in 1996 "Furthur" was the name originally intended to pick up the Long Strange Trip where the Grateful Dead left off (although at that time as an annual festival rather than a band).
In a 2/22/03 Road Journal entry Robert Hunter also said, "Personally, I want to see the remains of the unit survive regardless of name or personnel. But then, I've a vested interest in the survival of the songs which are, after all, my major life's work and likely to remain so. The rest of the founding members, me included, will be dead and gone soon enough and I hope to see a basis for carrying some iota of the gist of what this is all about, for what it's worth, across future generations." Maybe Furthur is that basis. Maybe we are. Who knows?