Toward Dimension-Independent Finiteness of Central Configurations for Positive Masses: A Scope-Audited Reduction with Named Open Bridges

Key Points

• The aim is to develop a dimension-uniform strategy for analyzing the finiteness of central configurations for positive masses.
• Introduced a structural strategy to tackle Smale's 6th Problem.
• Focused on central configurations for N ≥ 3 positive masses in multidimensional space.
• Developed a reduction strategy that is scope-audited.
• Presented 6 theorems/propositions demonstrating the finiteness of central configurations.
• Results are applicable for dimensions greater than or equal to 2.
• Contributions align with the overall goals of The Latent research program.