The formula describing the explicit red-shift dependence for the distancecovered by a signal in the expanding space, and also the expressions for Hubblelaw have been derived directly from the conformal group transformations takinginto account the light-cone equation. The obtained relations are associatedwith the luminosity distance represented as an explicit function of the redshift involving no other parameters but the scaling factor $c H^{-1}_0$. Theserelations represent in a pure kinematical way and in a complete agreement withobservations, the revealed transition of the Metagalaxy to acceleratedexpansion (the dark energy effect).
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机译：考虑到光锥方程，直接从保形群变换中得出了描述信号在扩展空间中所覆盖的距离的显式红移依赖性的公式，以及哈勃劳定的表达式。所获得的关系与表示为红移的显式函数的光度距离相关，该光度不涉及其他参数，而是比例因子$ c H ^ {-1} _0 $。这些关系以纯运动学的方式表示，并且与观察结果完全吻合，显示了超星系向加速膨胀的过渡（暗能量效应）。
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