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IMO if we "only" make it to AD 100,000 then our technology is close to plateauing right now. Maybe we develop sustainable fusion but it's only about as economical as natural gas once we consider the total cost of building each reactor and disposal of neutron activated wastes, computers reach the limits of circuit miniaturization and apart from slight increases in design efficiency we stagnate there too, etc etc. We don't colonize other worlds in any significant way, we don't do any of the crazy scifi stuff, we just continue living here on Earth until eventually there's a big enough war for whatever reason that society collapses and we are stone age except the world contains more hazards (fallout maybe) that leads to extinction. That's the kind of timeline that I would imagine leads to a 98,000 year timeline before we're gone.
If humanity persists "forever" it's because technology does not plateau, we end up colonizing space in a real way and expanding into the universe, which basically makes humanity impossible to kill off except by the eventual heat death of the universe which is happening regardless. Even disregarding things like post-scarcity societies and world peace and so forth, even if we're all envious jealous warring bastards in space, there will simply be so many of us and spread so widely across the universe that even if we somehow developed the technology to blow up stars or something we will never manage to completely wipe ourselves out. This future depends on technology improving significantly from where we are today but with the caveat that either atrifical general intelligence is impossible or so difficult that by the time we develop it we understand the problem enough to make a safe AI that helps us rather than instantly running counter to basic human goals and pursuing its own ridiculous, incomprehensible motivations.
If humanity persists for only a few hundred years it's probably because general AI is possible and apocalypses the universe.
