Turing universality in celestial mechanics
Turing universality in celestial mechanics. Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
Editorial MSC2020 mapping of Turing universality in celestial mechanics. https://arxiv.org/html/2507.10725v1#S6 Not an author-supplied code.
Problem statement
Is some Newtonian -body system with , or an -centre system, Turing-universal? The source also asks this for generalized -centre systems with a suitable metric.
Lean 4
No Lean statement or proof is attached yet. Have a formalization? Share its source to add it to this problem.
Background
Editorial question summary. Consult the linked source for the complete model, assumptions and discussion.
Progress & source assessment
Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
- [1]González-Prieto, Ángel; Miranda, Eva; Peralta-Salas, Daniel. Universality in Computable Dynamical Systems — Old and New (2025).; Turing universality in celestial mechanics linkIndependently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.
Recorded progress
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Discussion
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