Yang-Mills Mass Gap: Exploratory Lean 4 Formalization - CORRECTED (Problem Remains Open)

⚠ CORRECTION NOTICE - Version 1 claims retracted. See RETRACTION_NOTICE.md in this archive. Version 1 incorrectly claimed to have solved the Yang-Mills Mass Gap Millennium Prize Problem. Those claims are retracted in full. What was incorrect: The Lean 4 files contain open sorry placeholders and unproven axiom declarations (lake build fails). The 10/10 verification checked file presence, not mathematical correctness (labelled 'simulated' in its own output). The synthesis proof is circular: assumes confinement to derive the mass gap, but proving confinement is part of what Yang-Mills requires. First verification run (ORIGINAL_VERIFICATION_0_OF_10.json) gave 0/10 passes. The Yang-Mills Mass Gap problem remains open (September 2026). Version 2 contains: RETRACTION_NOTICE.md; YangMillsProblemStatement.lean (honest Lean 4 with named open goals); ORIGINAL_HONEST_STATUS.md (system's own assessment: UNVERIFIED_CLAIMS); ORIGINAL_VERIFICATION_0_OF_10.json; lattice QCD data; bibliography. Genuine contribution: Identification of Balaban RG program as most credible path; correct statement of prerequisite (rigorous 4D YM existence); exploratory Lean 4 problem structure. I apologize for the misleading Version 1. - Navin Dutta, ORCID 0009-0002-2515-4922, September 2026