Solution of the Mumford-Shah conjecture

AI involvement AI-centered

Deangelis credits ChatGPT Astra with the initial strategy and draft after detailed human prompts and supplied background. He revised and simplified the proof.

The author specifically attributes the initial central proof strategy and manuscript to ChatGPT Astra, while documenting his own prior work, supplied context and later revisions.

Importance Major

Would close the remaining global-minimizer case and establish the planar interior regularity conjecture.

Technical verification Reported

The first version explicitly says checking was ongoing, and the revised paper documents responsibility and revision without a completed rigorous check of the final theorem. Reported is the evidence default.

Human understanding Full

Deangelis's revised paper explains the compact translation, optimized second variations, Hodge equality and classification reduction; it documents human command of the central mechanism, independently of proof verification.