Dimension-Independent Finiteness of Central Configurations for Positive Masses
We prove that for any N \geq 3 bodies with positive masses in \mathbb{R}^d (d \geq 2), the number of central configurations modulo similarity is finite, resolving Smale's 6th Problem in every spatial dimension d \geq 2 simultaneously. Key results: 5 theorems / propositions. Maturity: Working Paper. Includes formal verification (Lean 4 with Python verification scripts). Part of The Latent research program. Related papers in this program: Degenerate CC, Universal.
Authors
- Tamás Nagy
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-11
- DOI
- https://doi.org/10.5281/zenodo.20117294
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00