I think it's as "simple" as with Bitcoin. You get a 256-bit hash from your nsec, then run it through some sort of cryptographic function, and from that you derive the mnemonic list of words using BIP-39.

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What I've never seen is the opposite -- what OP is mentioning here about using a seed phrase with an existing Nostr app. But if you have a seed phrase, then you can revert the process and get the nsec. Has anyone put together a tool for that? No idea.

You can't derive seed words from a private key

The other way around then?

I thought it worked like BTC and that in fact Nostr addresses were "like" BTC addresses.

Yes, seed words to private key is the only direction possible