Thursday, August 27, 2026

Possible AI Proof of Complex S6 Manifold

A new Claude AI LLM assisted paper claims to find a complex manifold structure on the six-dimensional sphere, S6. There are videos here and here.

The opposite result was claimed in 2016, but the argument was faulty.

If verified, this will probably be the biggest AI math accomplishment to date. So far, the biggest success are the Jacobian conjecture counterexample, and the Erdox unit distance problem.

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2 comments:

  1. CFTAugust 28, 2026 at 5:20 AM

    Wouldn't that be grand....if only we lived in a six dimensional universe where this 'accomplishment' could be useful outside of self congratulatory mathematical onanism. Reminds me of Ads/CFT conjectures of yesteryear being used to support explanatory theories of physics in universes we know for certain we don't inhabit.

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  2. Ajit R. JadhavAugust 29, 2026 at 3:08 PM

    Are there any more? apart from S^6 the complex? I mean, proofs?

    Jussss askinnn

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