AI-assisted counterexample allegedly disproves the Jacobian conjecture
Promptmethus · x · 2026-07-20
A long-standing algebraic claim, the Jacobian conjecture, is said to have been disproved by an explicit counterexample in \(\mathbb{C}^3\), with significant help from an AI model called Fable.
The post argues that this result shows local non-degeneracy does not imply global invertibility or bijectivity, and claims it changes how we should think about systems where local regularity coexists with global complexity. It also ties the result to a broader OAMR-JL / OAME framework, suggesting that braid, morphic, spectral, and topological dynamics can model branching and non-injective global behavior.
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