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The other contribution to the enhanced large-scale CMB power comes from the photon density perturbation, which is also affected by the evolution of Δ D \Delta_{\mathrm{D}}
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If p = p ( ρ ˙ m , ρ ˙ DE ) p=p(\dot{\rho}_{m},\dot{\rho}_{\mathrm{DE}}) , then using the conservation equation we can reexpress p p as p = p ( ρ m , ρ DE , H ) p=p(\rho_{m},\rho_{\mathrm{DE}},H) . Further possibilities p = p ( H ˙ , ⋯ ) p=p(\dot{H},\cdots) are too complex to be considered here, but by the same logic as used in deriving Eq. ( 24
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