links to papers on Hilbert's Sixth problem

https://en.wikipedia.org/wiki/Hilbert%27s_sixth_problem

"A Field Guide to Recent Work on the Foundations of Statistical Mechanics" by R. Frigg
arxiv.org/abs/0804.0399 and
https://romanfrigg.org/wp-content/uploads/writings/SM_Fieldguide.pdf

"Hilbert's Sixth Problem: the endless road to rigour" by A. N. Gorban
https://arxiv.org/abs/1803.03599

---

"Long time derivation of the Boltzmann equation from hard sphere dynamics" by Yu Deng, Zaher Hani, Xiao Ma
https://arxiv.org/abs/2408.07818

"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory" by Yu Deng, Zaher Hani, Xiao Ma
https://arxiv.org/abs/2503.01800

comments:

• https://news.ycombinator.com/item?id=44439242
• https://mathstodon.xyz/@johncarlosbaez/114618637031193532
• https://www.scientificamerican.com/article/lofty-math-problem-called-hilberts-sixth-closer-to-being-solved/
• https://www.reddit.com/r/Physics/comments/1k2qtcz/mathematicians_crack_125yearold_problem_unite/
• https://www.reddit.com/r/math/comments/1j3lkm5/solution_to_hilberts_sixth/

"Comment on "Hilbert's Sixth Problem: Derivation of Fluid Equations via Boltzmann's Kinetic Theory" by Deng, Hani, and Ma" by Gao
https://arxiv.org/abs/2504.06297
https://philsci-archive.pitt.edu/25009/1/Hilbert6c.pdf