哈勃常数的非线性分形意义
Nonlinear fractal meaning of the Hubble constant
摘要：
根据天体物理观测，某一点的后退速度值与到该点的距离成正比。比例系数是以5%的精度测量的哈勃常数。它被用于许多描述暗能量、暗物质、重子以及它们与爱因斯坦引入的宇宙学常数之间关系的宇宙学理论。本文在不使用任何经验常数的情况下，根据我们建立的描述观测星系的距离与其中心坐标关系的分形模型，从理论上确定了一个全局哈勃常数的极限值。距离已被定义为一个非线性的分形测量尺度对应的偏差的测量从其固定值（零重力半径）。本文提出了一种模拟宇宙径向膨胀的各向异性分形模型。我们的理论结果表明，在宇宙学观测中，哈勃常数的确定精度与星系坐标的计算精度之间存在反比关系，从而导致观测结果的不确定性。
英文摘要：
According to astrophysical observations value of recession velocity in a certain point is proportional to a distance to this point. The proportionality coefficient is the Hubble constant measured with 5% accuracy. It is used in many cosmological theories describing dark energy, dark matter, baryons, and their relation with the cosmological constant introduced by Einstein. In the present work we have determined a limit value of the global Hubble constant (in a big distance from a point of observations) theoretically without using any empirical constants on the base of our own fractal model used for the description a relation between distance to an observed galaxy and coordinate of its center. The distance has been defined as a nonlinear fractal measure with scale of measurement corresponding to a deviation of the measure from its fixed value (zero-gravity radius). We have suggested a model of specific anisotropic fractal for simulation a radial Universe expansion. Our theoretical results have shown existence of an inverse proportionality between accuracy of determination the Hubble constant and accuracy of calculation a coordinates of galaxies leading to ambiguity results obtained at cosmological observations.
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