论文标题
规模不变性的局部动态影响：月球衰退
Local Dynamical Effects of Scale Invariance: the Lunar Recession
论文作者
论文摘要
在空的宇宙模型中，预计比例不变性，而物质的存在往往会抑制它。如最近所示，在密度等于或高于临界值$ \ varrho _ {\ mathrm {c}}} = 3H^2_0/（8πg）$的宇宙模型中肯定没有比例不变性。对于密度低于$ \ varrho _ {\ mathrm {c}} $的型号，有限效果的可能性保持开放。如果存在，则规模不变性将是全球宇宙属性。某些迹线可以在本地观察到。对于地球两体系统，预测的额外的月球衰退将增加0.92 cm/年，而潮汐相互作用也将略有增加。 由于Lunar Laser Ranging（LLR）实验自1970年以来，地球月球距离是太阳系中最系统测量的距离。观察到的LUNAR经济衰退的LLR金额为3.83（$ \ pm 0.009 $）cm/yr;意味着潮汐变化是每日长度（LOD）的2.395 ms/cy。然而，由于巴比伦上古时，观察到的LOD的变化仅为1.78 ms/cy，这是由古生物学数据支持的结果，这意味着月球衰退为2.85 cm/yr。 （3.83-2.85）cm/yr = 0.98 cm/yr的显着差异已经由几位作者指出，在过去的二十年中，已经指出了这一点，这与规模不变理论的预测很相对应，这也得到了其他几项天文学测试的支持。
Scale invariance is expected in empty Universe models, while the presence of matter tends to suppress it. As shown recently, scale invariance is certainly absent in cosmological models with densities equal to or above the critical value $\varrho_{\mathrm{c}} =3H^2_0/(8 πG)$. For models with densities below $\varrho_{\mathrm{c}}$, the possibility of limited effects remains open. If present, scale invariance would be a global cosmological property. Some traces could be observable locally. For the Earth-Moon two-body system, the predicted additional lunar recession would be increased by 0.92 cm/yr, while the tidal interaction would also be slightly increased. The Earth-Moon distance is the most systematically measured distance in the Solar System, thanks to the Lunar Laser Ranging (LLR) experiment active since 1970. The observed lunar recession from LLR amounts to 3.83 ($\pm 0.009$) cm/yr; implying a tidal change of the length-of-the-day (LOD) by 2.395 ms/cy. However, the observed change of the LOD since the Babylonian Antiquity is only 1.78 ms/cy, a result supported by paleontological data, and implying a lunar recession of 2.85 cm/yr. The significant difference of (3.83-2.85) cm/yr = 0.98 cm/yr, already pointed out by several authors over the last two decades, corresponds well to the predictions of the scale-invariant theory, which is also supported by several other astrophysical tests.
