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Rigorous Science

What would the composition of an "indestructible" material be?

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I'm currently working on a Sci-Fi setting for my friends to use in a campaign (my friend is GM but he's too lazy to come up with a setting so I offered to do it), I've already worked out the minor details (like, what the aliens look like, history, weaponry, etc.) but I keep running into one problem.

The setting relies upon hard Sci-Fi (AKA the exact opposite of the BS that is Star Trek) and I can't find/create a Hard Sci-Fi explanation for this material.

The material I'm trying to explain is (in normal circumstances) completely indestructible (It's not absolutely indestructible, like if you threw it into a black hole it would absolutely be destroyed). Here are the criteria this material has to meet.

1: Material must be near indestructible (methods for destruction could involve throwing it into a black hole or shoving it into the core of a sun).

2: The Material must be extremely valuable (valuable enough for wars to be fought over it)

3: Material must be able to interact with regular matter

4: A nuclear detonation should not be capable of destroying this material... entirely (dropping a nuke directly on top of this material would put it into a Liquid state)

So my question is... How could I scientifically explain a near indestructible super material without having to make it's existence one big handwave?

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This post was sourced from https://worldbuilding.stackexchange.com/q/68021. It is licensed under CC BY-SA 3.0.

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