I like your description, but is the universe binary? Your outcome is binary so the whole universe is binary, in this case it would proof we life in a simulation and if we develop AGI the simulation ended.

Might be a possibility because many many things are binary.... on / off, good / bad, future / past, .... This would mean looking only at binary it should be possible to either break or create a simulation that is capable of AGI.

But then, the question arrises, if it is a simulation wouldnt that mean it is impossible to find AGI because it would "overflow" the current simulations capacity?

I know i am absolutely brain fucked with my way of thinking.... :-) But no one has the answer at least yet.

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Even if it was binary … tetralemma 😂