  We develop arguments for "mapping" the effective chiral Lagrangian whose
parameters are given by "BR scaling" to a Landau Fermi-liquid fixed-point
theory for nuclear matter in describing fluctuations in various flavor (e.g.,
strangeness) directions. We use for this purpose the effective Lagrangian used
by Furnstahl, Tang and Serot that incorporates the trace anomaly of QCD in
terms of a light-quark (quarkonium) degree of freedom with the heavy (gluonium)
degree of freedom integrated out. The large anomalous dimension $d_{an}\approx
5/3$ for the scalar field found by Furnstahl et al to be needed for a correct
description of nuclear matter is interpreted as an indication for a
strong-coupling regime and the ground state given by the BR-scaled parameters
is suggested as the background around which fluctuations can be rendered weak
so that mean-field approximation is reliable. We construct a simple model with
BR scaled parameters that provides a satisfactory description of the properties
of matter at normal nuclear matter density. Given this, fluctuations around the
BR scaled background are dominated by tree diagrams. Our reasoning relies
heavily on recent developments in the study of nucleon and kaon properties in
normal and dense nuclear matter, e.g., nucleon and kaon flows in heavy-ion
processes, kaonic atoms, and kaon condensation in dense compact-star matter.
