  In this paper, we suppose that the universe begins in a holographic thermal
equilibrium phase with the diverged correlation length, and the phase
transition to the radiation phase of standard cosmology goes with the abrupt
reducing of correlation length. In this case, the primordial perturbations may
be induced by thermal fluctuations in this holographic phase. We calculate the
spectra of this holographic primordial perturbations, and find that the scalar
spectrum has a slightly red tilt and the tensor perturbation amplitude has a
moderate ratio, which may be tested in coming observations. The results plotted
in r-n_s plane is similar to that of large field inflation models. However, for
fixed efolding number, they are generally in different positions.
