Zeldovich Lambda和Weinberg关系：宇宙学符合的一种解释
Zeldovich Lambda and Weinberg Relation: An Explanation for the Cosmological Coincidences
摘要：
1937年，狄拉克提出大数假说（LNH）。这个想法是为了解释这些数字很大，因为宇宙很老。假定某些常数随时间变化。到目前为止，还没有实验证据明显支持这种时间变化。在这里，我们提出了一个简化的宇宙模型。我们提出了一个新的宇宙学单位制，包括一个宇宙学普朗克常量，吸收了众所周知的大数10120。有了这个新的普朗克常量，在宇宙学水平上就不会出现大的数字。它们出现在较低的层次，例如量子世界。这里我们注意到，对于宇宙学常数，Zeldovich公式等价于Weinberg关系。直接的结论是光速c必须与哈勃参数H成正比，因此随着时间的推移而减小。我们发现宇宙的引力半径和它的大小是同一个常数（马赫原理）。通常的宇宙学欧米茄参数质量，λ和曲率原来都是一阶常数。人择原理在这个理论中是不必要的。结果表明，在这个理论中，普朗克涨落（量子黑洞）转化为宇宙学量子黑洞的因子为1061：今天的宇宙。广义相对论和量子力学给出了一个膨胀宇宙的相同的局部解。这个常数就是今天的光速。那么哈勃参数正好是H = 1/t。
英文摘要：
In 1937 Dirac proposed the large number hypothesis (LNH). The idea was to explain that these numbers were large because the Universe is old. A time variation of certain constants was assumed. So far, no experimental evidence has significantly supported this time variation. Here we present a simplified cosmological model. We propose a new cosmological system of units, including a cosmological Planck constant that absorbs the well known large number 10120. With this new Planck constant no large numbers appear at the cosmological level. They appear at lower levels, e.g. at the quantum world. We note here that Zeldovich formula, for the cosmological constant, is equivalent to the Weinberg relation. The immediate conclusion is that the speed of light c must be proportional to the Hubble parameter H, and therefore decrease with time. We find that the gravitational radius of the Universe and its size are one and the same constant (Mach principle). The usual cosmological omega parameters for mass, lambda and curvature turn out to be all constants of order one. The anthropic principle is not necessary in this theory. It is shown that a factor of 1061converts in this theory a Planck fluctuation (a quantum black hole) into a cosmological quantum black hole: the Universe today. General relativity and quantum mechanics give the same local solution of an expanding Universe with the law const. t. This constant is just the speed of light today. Then the Hubble parameter is exactly H = 1/t.
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