A multi-billion year backup is probably pointless.
The earth will be uninhabitable in that time frame due to changes in the atmosphere and beyond that the sun itself will complete it's lifecycle.
I know there's a big fad to "just believe" in a SF future that spans space and time but physical realities in this area are pretty rough.
I think the best thing people could do is realise that, eventually, everything ends and believing otherwise when it comes to the human race is much like believing in an afterlife.
Our survival is not the point. It is an act of hope and the manifestation of our goodwill to the rest of the universe. There is nothing more valuable that we can offer to the Universe than our culture, history, knowledge, and the Earth's biological data.
Imagine if you were an alien species who somehow comes across this capsule hundreds of millions or billions of years from now. It's proof of sentient life elsewhere! But then you date the U-238 and realize that they're probably all dead...
But, they've left all of their civilization, culture, heritage, and knowledge behind. And you get to experience that, even recreate a tiny simulacrum of their world. And it gives you something, it's a tangible form of communication and cooperation across aeons.
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In the short term, the backup is probably useful to have. Imagine if a collection is lost to fire or some other catastrophe, and one of the closer ones could be used to bring it back. Case in point, the fire at Notre-Dame. In 2015, Dr. Andrew Tallon, an art historian, painstakingly scanned all of Notre Dame, https://www.forbes.com/sites/trevornace/2019/04/16/we-have-b...
I think it's important to be honest. Would you have flagged his work as pointless in 2015? After all, the Cathedral has stood for centuries, been photographed so many times, what's the point of a 3D scan?
After 2019's fire, those scans became important (unsure to what degree) to the restoration effort. At some level, by capturing and preserving history, Andrew Tallon helped save history. And now it becomes a part of the story.
That's the goal. To engage in an act of optimism for the betterment of us and all of humanity.
Doomer fatalism is nearly as dumb as sci-fi optimism. It's 100% physically plausible, using technology we have today, to make humanity star-faring. The costs would be exorbitant at this point, but within the reach of human productive capacity (assuming we're willing to ditch the partial nuclear test ban).
Getting to the moon only takes another JFK. We have the tech, we have the people, all we lack is the budget and a 5-10 year deadline. Also, another hard part is getting there safely enough. A 5% chance of dying out there is probably not acceptable nowadays. We probably need to go below 0.1% to attempt it again, and that's not trivial, especially with the possibility of solar flares beyond the magnetic protection of the Earth.
The real question is, is it worth making it a priority?
The earth will be uninhabitable in that time frame due to changes in the atmosphere and beyond that the sun itself will complete it's lifecycle.
I know there's a big fad to "just believe" in a SF future that spans space and time but physical realities in this area are pretty rough.
I think the best thing people could do is realise that, eventually, everything ends and believing otherwise when it comes to the human race is much like believing in an afterlife.