Does the variance of the free energy in the Sherrington-Kirkpatrick model at the critical temperature obey a universal scaling law that interpolates smoothly between the high-temperature and low-temperature regimes?

The Sherrington-Kirkpatrick spin glass model has a critical temperature below which the system enters a complex disordered phase. Near this critical point, the free energy variance is known to exhibit anomalous fluctuations that are neither purely Gaussian nor fully described by the Tracy-Widom-type laws seen in random matrix theory. The open problem is to determine whether there exists a precise, universal scaling function that describes how the variance of the free energy transitions as one passes through the critical temperature, and whether this scaling function is the same across a broad class of spin glass models with different disorder distributions.