TI Sigma Millennium Prize Formalizations in Lean 4 (Experimental Framework)

Lean 4 + Mathlib formalizations of all six Clay Millennium Prize Problems within the Tralse Informationalism (TI Sigma) framework. ⚠️ IMPORTANT DISCLAIMER: These are EXPERIMENTAL formalizations representing the TI Sigma philosophical and mathematical framework applied to each Millennium Prize Problem. They contain 'sorry' statements at steps requiring deeper mathematical machinery. They are NOT claimed as complete solutions in the conventional mathematical sense. They represent rigorous structural framing and formal Lean 4 type scaffolding within the TI Sigma approach. Files included: BSD.lean (URB #565) — Birch and Swinnerton-Dyer Being Theorem YangMills.lean (URB #569) — Yang-Mills Mass Gap NavierStokes.lean (URB #570) — Navier-Stokes Smoothness Vern Hodge.lean (URB #571) — Hodge Vern Theorem PvsNP.lean (URB #572) — P≠NP Creation-Vern Gap RiemannUOP.lean — Riemann Hypothesis (TI Sigma UOP formulation) BeingTheorem.lean — Being Theorem (foundation for ζ-zero structure) Apache 2.0. Part of the Tralse Informationalism Research Program, established April 1, 2026.