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

Key Points

• The analysis aims to assess the unsolvability of the Millennium Prize Problems using a specific framework.
• Applied the Void Framework to evaluate all seven Millennium Prize Problems
• Used a 12-point void index to measure the clustering of problems
• Calculated mean Péclet score and ranges for evaluation
• Assessed the selection criteria of the Clay Mathematics Institute
• Six open problems score between 7 and 11 on the void index with a mean of 8.8
• Poincare Conjecture drops to 2/12 post-resolution
• Linear Programming scores 1/12 as a control case
• The Riemann Hypothesis scores the highest at 11/12

Abstract