Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized
  fluid and dynamical entropy bounds near the future singularity
  We derive a Cardy-Verlinde-like formula which relates the entropy of the
closed FRW universe to its energy, and Casimir energy, for a multicomponent
coupled fluid. The generalized fluid obeys an inhomogeneous equation of state.
A viscous dark fluid is included, and we include also modified gravity using
its fluid representation. It is demonstrated how such an expression reduces to
the standard Cardy-Verlinde formula corresponding to the 2d CFT entropy only in
some special cases. The dynamical entropy bound for a closed FRW universe with
dark components is obtained. The universality of the dynamical entropy bound
near a future singularity (of all four types), as well as near the Big Bang
singularity, is investigated. It is demonstrated that except from some special
cases of Type II and Type IV singularities the dynamical entropy bound is
violated near the singularity even if quantum effects are taken into account.
The dynamical entropy bound seems to be universal for the case of a regular
universe, including the asymptotic de Sitter one.
