  Based on our recent holon-pair boson theory of the t-J Hamiltonian (Phys.
Rev. B 64, 052501 (2001)) we report the doping dependence of the bose
condensation energy, superfluid weight and spectral peak intensity. We find a
universality of doping dependence in these physical quantities, by equally
showing an arch shape in the variations of their magnitudes with the hole
doping concentration. We find that all of these physical quantities scale well
with the positive charge carrier (hole) density x, but not with the electron
density 1-x for the entire range of hole doping. It is shown that the doping
dependence of the condensation energy U at T = 0 K is given by the relation,
$U(0) \approx \alpha x^2 |\Delta_0|^2$ with $\Delta_0$, the pairing gap at 0 K
and $\alpha$, a constant.
