Working paper proves the finiteness of central configurations in various dimensions, resolving an important problem.
We prove that for any N ≥ 3 bodies with positive masses in R^d (d ≥ 2), the number of central configurations modulo similarity is finite, resolving Smale's 6th Problem in every spatial dimension d ≥ 2 simultaneously. 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.
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Tamás Nagy (2026) studied this question.
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