  Entanglement suppression in the strong interaction $S$-matrix is shown to be
correlated with approximate spin-flavor symmetries that are observed in
low-energy baryon interactions, the Wigner $SU(4)$ symmetry for two flavors and
an $SU(16)$ symmetry for three flavors. We conjecture that dynamical
entanglement suppression is a property of the strong interactions in the
infrared, giving rise to these emergent symmetries and providing powerful
constraints on the nature of nuclear and hypernuclear forces in dense matter.
