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Whether this law is universal, and from which system size it applies, needs independent confirmation.","posed_since":"1955","precise":"For alpha- and beta-FPUT chains with $N$ particles at energy density $\\epsilon$ and effective nonlinearity g (g ~ alpha^2 epsilon or beta epsilon), determine whether the equipartition time obeys $T_{\\mathrm{eq}} \\sim g^{-2}$ for $N > N*(g)$ in the thermodynamic limit, as wave-turbulence theory of resonant wave interactions predicts, and determine $N*(g)$ and the small-N regime where exact resonances are absent and the exponent differs. An answer is the exponent with its range of validity.","problem_ref":null,"references":"","settled_by":"Simulations at increasing N and decreasing g showing convergence of the exponent, matched by a kinetic-equation derivation of the prefactor.","status_note":"A 2026 review argues $T_{\\mathrm{eq}} \\sim g^{-2}$ holds generically for lattices with extended normal modes (arXiv:2603.23347); independent tests of the asymptotic regime are limited.","title":"Universal scaling of the FPUT equipartition 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