  Motivated by Voiculescu's liberation theory, we introduce the orbital free
entropy $\chi_orb$ for non-commutative self-adjoint random variables (also for
"hyperfinite random multi-variables"). Besides its basic properties the
relation of $\chi_orb$ with the usual free entropy $\chi$ is shown. Moreover,
the dimension counterpart $\delta_{0,orb}$ of $\chi_orb$ is discussed, and we
obtain the relation of $\delta_{0,orb}$ with the original free entropy
dimension $\delta_0$ with applications to $\delta_0$ itself.
