  Parity doubling is observed in hadron states around 1.5 GeV - and the
estimated energy density is found to be high. When a large excitation energy is
available and the pions decouple from the quarks, the QCD interaction is still
not perturbative. And signature of such a system can exist in the form of small
ratio of the shear viscosity to entropy density. This is true for an equation
of state which is applicable to the surface of strange star. We indicate the
correspondence of parity doubling with the apparently disconnected model
calculation of compactness of some pulsars.
