If there exists an algorithm that can write such a book, then this questions resolves to yes.
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@OlegEterevsky I'm thinking maybe 150 pages? If someone reads such a book and engages with it, perhaps mentioning on social that they enjoyed it before someone points out that it's AI-generated, then that would be an example of indistinguishability.
@NateSelzer short stories or poems are too short. I'm thinking of a full-length novel, e.g. at least 150 pages?
@AJama I think it's possible to come up with a clever prompt that can generate chapters of a book that can then be strung together, but so far haven't seen any synthetic books that really hold together.
@ClubmasterTransparent I have yet to see a book that really is "indistinguisable" from what a human author would produce. I think we're very close to this threshold, but all the examples I've seen so far are fairly obviously not written by a human