It's possible. In "Encounter at Farpoint, Part I," Data remarks that the New United Nations held in 2036 that "no Earth citizen could be made to answer for the crimes of his race or forbears" (implying that the current United Nations organization will be defunct or somehow replaced by then), and Q replies that by 2079, "more rapid progress had caused all United Earth nonsense to be abolished." In real life, the League of Nations transferred its assets, including its buildings, to the United Nations when the U.N. was founded. So it's possible that whatever surviving buildings the U.N. or New U.N. had might have been transferred to the United Earth federal government upon its founding. * * * I just looked it up. In Section 31: Control by David Mack, set in the First Splinter Timeline, the "main chamber of the United Earth Parliament" is in Paris in the 2150s. This is arguably consistent with the ENT Relaunch novels, which seemed to imply that the early Federation government used U.E. government buildings before the Palais de la Concorde was built. (I am reminded of how the early United States Congress and U.S. Confederation Congress would both meet in state capitols before the permanent U.S. Capitol was built.)
Oh, dear. Ummmm.... *20-minute pause* ...perhaps the Paris site was only temporary while the UE's permanent housing in Munich was built? And later on, when the Federation is formed, they decided to return to Paris as was originally done? That could work, couldn't it? (yes, yes, I do absolutely love the city of Munich ) srsly though, while I really do love Munich - and have nothing against Paris - one might think it'd be a good idea to have United Earth's capital be in a different city than the Federation's. Wouldn't it be easier that way? Like Ottawa - as I said, it's the capital of Canada, but Toronto is the capital of the province of Ontario (even though that's also where Ottawa is).
I mean, for that matter, Control also establishes that United Earth had been an incomplete, relatively less-powerful attempt at a planetary state from 2130 until the U.S., China, and Australia joined it on 15 July 2150, so it's entirely possible that the United Earth Parliament's chambers in Paris weren't intended to be its permanent home. And of course, the capital city could have changed at any point after its founding.
And again, I'm really not trying to knock Paris or anything like that. I may be jonesing for Munich a little bit too much but...well, it's the German in me.
TBH, given its history, I would be deeply uncomfortable with Munich being the capital of United Earth...
I think the Nazis stand out a little more than others among the history of evil bastards. But that's all I'll say there -- I don't want to drag this sidebar out.
No worries. I'm sure the Munich Oktoberfest is still an amazing, beloved celebration every year in the United Earth/Federation eras.
Well Australia has Canberra and the ACT because we couldn't make up our minds over whether it'd be Sydney or Melbourne as capital. I still don't think UE would build some new city though. I had in the back of my mind the UE would be based out of New York, as basically a continuation of the United Nations. It probably got nuked but that hasn't stopped every other city showing up unscathed. Or it's space station or some floating island.