
🛠️ Zero-axiom Lean 4 proof that Yang-Mills on R^4 is a "round square"
Summary
Zero-axiom Lean 4 script that formally proves a negative-result resolution to the Clay Millennium Yang-Mills problem on pure R^4. It demonstrates that demanding both the full axioms and a strict spectral gap on non-compact R^4 is a structural contradiction.
Why it’s interesting
It provides a 2,576-line self-contained Lean 4 script that compiles in two seconds with zero axioms and checks out with zero dependencies on axioms.
Target user
Logic and constructive math folks
Source metrics: Points 2 · Comments 0
HN discussion · Project
Source: #HackerNews / Show HN
Summary
Zero-axiom Lean 4 script that formally proves a negative-result resolution to the Clay Millennium Yang-Mills problem on pure R^4. It demonstrates that demanding both the full axioms and a strict spectral gap on non-compact R^4 is a structural contradiction.
Why it’s interesting
It provides a 2,576-line self-contained Lean 4 script that compiles in two seconds with zero axioms and checks out with zero dependencies on axioms.
Target user
Logic and constructive math folks
Source metrics: Points 2 · Comments 0
HN discussion · Project
Source: #HackerNews / Show HN