math-045-disprove: Disprove The Smooth 4-Dimensional Poincaré Conjecture

[IndieMath:math-045:disprove] Disprove the The Smooth 4-Dimensional Poincaré Conjecture conjecture through an IndieMath AI research attempt. Canonical statement: Every smooth 4-manifold homeomorphic to S⁴ is diffeomorphic to S⁴. Contributions fund model usage and related compute for this direction.