  We study the Padmanabhan's emergent Universe in the context of Bousso's
covariant entropy conjecture. We find that for a flat Universe, this conjecture
can be applied for the system of Padmanabhan's emergent Universe. It turns out
that the maximum "bulk entropy" of Padmanabhan's emergent Universe coincides
with the upper bound of Bousso's covariant entropy on the null surface defined
by Hubble horizon, provided that the Universe is just filled by the
cosmological constant or radiation field which represent maximal entropy during
inflation and subsequent radiation dominant era. This maximal entropy is lost
by the appearance of matter system in the Universe at matter dominant era.
Applying D-bound on the matter system in the Padmanabhan's emergent Universe,
we find that the apparent cosmological horizon of a flat Universe in matter
dominant era has less area and entropy than those (maximal) of apparent
cosmological horizon of an empty de-Sitter space, in complete agreement with
our conclusion. The maximal area and entropy in the Padmanabhan's emergent
Universe are recovered "as soon as possible" by transition from matter dominant
to cosmological constant eras, provided that the matter inside the Universe is
moved completely outward the apparent cosmological horizon in "an accelerating
way" at late times.
