The Péclet Structure of Unsolvability: Void Framework Analysis of the Seven Millennium Prize Problems

Applies the Void Framework's three-condition model to all seven Clay Mathematics Institute Millennium Prize Problems. Demonstrates that the six open problems cluster between 7 and 11 on the 12-point void index (mean 8.8, Phase III-IV), while the resolved Poincare Conjecture drops to 2/12 post-Perelman and Linear Programming anchors the control case at 1/12. The CMI selection criteria are shown to be functionally equivalent to selecting for maximum opacity, responsiveness, and coupling simultaneously. Mean Pe = 3.8 (range 3.1-4.5). Riemann Hypothesis scores 11/12, highest of all analyzed problems.