Poincaré Conjecture : A New Proof of the 3-Dimensional & Supplementary Proof

Poincaré Conjecture : A New Proof of the 3-Dimensional & Supplementary Proof 
This paper is a methodological attempt to interpret all seven Clay Millennium Problems—the Riemann Hypothesis, the Yang–Mills mass gap, the Navier–Stokes existence and smoothness problem, the Poincaré conjecture, the Birch–Swinnerton–Dyer conjecture, the P vs NP problem, and the Hodge conjecture—within a single structural framework provided by the Information-Driven Grand Unification Theory (IDGUT). Using the decisiveness device Φ_D, the stability device Φ_F, and the RP–LSI–IR–RG–OS chain as a common backbone, the work does not claim complete proofs, but instead presents conditional theorems together with publicly verifiable checkpoints for each problem (such as sign patterns, monotonicity, range/power-law signatures, and spectral lower bounds). While the core coupling formulae and modified-gravity field equations of IDGUT are kept non-public, the main aim of the paper is to provide an interface—along with concrete predictions and counterexample criteria—that can be independently tested by external researchers through experiments and computations.
V.1 Birch–Swinnerton–Dyer
V.2 P versus NP Problem
V.3 Navier–Stokes
V.4 Riemann Hypothesis
V.5 Yang-Mills_Mass_Gap_Solution
V.6 Poincaré Conjecture
V.7 The Hodge Conjecture
V.8 A Unified Structural Analysis and Conditional Resolution Scheme for the Seven Clay Millennium Problems within an Information-Driven Grand Unification Framework (IDGUT) — Single Frame and Verification Checkpoints