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Motivated by the recent work of one of us [1], we generalize this work to the case where the pressureless dark matter and the holographic dark energy do not conserve separately but interact with each other.
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Since ω ≥ 10 4 \omega\geq 10^{4} we find that α ≈ 1 / ω = 10 − 4 \alpha\approx 1/\omega=10^{-4} , thus Eq. (27) reduces practically to w D = − 1 3 ( 1 + α ) − 2 Ω D 3 c ≈ − 1 3 − 2 Ω D 3 c w_{D}=-\frac{1}{3}(1+\alpha)-\frac{2\sqrt{\Omega_{D}}}{3c}\approx-\frac{1}{3}-\frac{2\sqrt{\Omega_{D}}}{3c} which is exactly the Li’s result. Thus, the Li’s argument [ 2 ] in favor of c = 1 c=1 holds here
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