  The Shannon based conditional entropy that underlies five-dimensional
Einstein-Hilbert gravity coupled to a dilaton field is investigated in the
context of dynamical holographic AdS/QCD models. Considering the UV and IR
dominance limits of such AdS/QCD models, the conditional entropy is shown to
shed some light onto the meson classification schemes, which corroborate with
the existence of light-flavour mesons of lower spins in Nature. Our analysis is
supported by a correspondence between statistical mechanics and information
entropy which establishes the physical grounds to the Shannon information
entropy, also in the context of statistical mechanics, and provides some
specificities for accurately extending the entropic discussion to continuous
modes of physical systems. From entropic informational grounds, the conditional
entropy allows one to identify the lower experimental/phenomenological
occurrence of higher spin mesons in Nature. Moreover, it introduces a
quantitative theoretical apparatus for studying the instability of high spin
light-flavour mesons.
