Think about what you're proposing here. You're saying that, because lapels and neckties are such a freakishly unique evolution of body-coverings, you require a story where, at some point in the near future before they go out of fashion, the people of Earth must travel to the far side of the galaxy, colonize a planet, have the civilization there develop for no less than two thousand years, possibly as many as eighteen, undergoes an apocalyptic cataclysm, then the survivors colonize another group of planets, spend another two thousand years of civilization, and at the end of all that, they have never once deviated from 2000s-era men's fashions, and the only alteration in the english language has been a vowel shift and an added consonant in the word "fuck." Also, at some point, time travel, which no one notices having happened. This, at your request, is plausible hard science fiction.