  A chain of connections in compressed baryonic matter, up-to-date glaringly
missing in nuclear effective field theory, between intrinsic or emergent
symmetries of QCD, mesons-gluons dualities, vector meson dominance and
Chern-Simons fields has recently been revealed, presaging a possible new
paradigm in nuclear theory. It indicates a ubiquitous role, thus far
unexplored, of hidden symmetries -- flavor-local and scale -- permeating from
dilute baryonic systems to normal nuclear matter and then to compact-star
matter. Here I give a brief account of the possibly "indispensable" relevance
of the $\eta^\prime$ singular ring, a.k.a. fractional quantum Hall (FQH)
droplet, to the properties of the lowest-lying vector mesons $\omega$ and
$\rho$, relevant to dilepton production processes, argued to be Seiberg-dual to
the gluons near the chiral restoration.
