2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158843Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2- and 4-replica overlaps between replicas with different but correlated bonds. This relation is used to derive an upper bound of the fluctuations.13 pages, no figuresDisordered Systems and Neural NetworksAn exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick modeltext