论文标题
太阳系中的比例不变动力学
Scale-invariant dynamics in the Solar System
论文作者
论文摘要
最近已经提出了协变量 - 不变动力学（SID）理论，是对星系中观察到的动力学差异的可能解释（Maeder＆Gueorguiev 2020）。 SID意味着这些差异$ - $通常归因于暗物质$ - $ $ $来自非标准速度依赖性力，该速度依赖性的力是导致两体近二元轨道轨道扩展的两体。我们表明，Earth-moon轨道的预测膨胀与$>200σ$的月球激光范围的数据不相容。此外，SID预测，过去任何物体的引力质量都小得多。如果是的，那么低质量红色巨星必须比标准理论中要大得多。这将使它比宇宙的传统时代要大得多，但是预计在SID中会类似。此外，尚不完全清楚SID是否真正包含了超越一般相对性的新物理学，而先前的几篇作品则认为，额外的自由度纯粹是数学。我们得出的结论是，即使理论上很好地制定了SID模型，即使在一系列尺度上的观测值都可以通过一系列尺度上的观测来伪造。
The covariant scale-invariant dynamics (SID) theory has recently been proposed as a possible explanation for the observed dynamical discrepancies in galaxies (Maeder & Gueorguiev 2020). SID implies that these discrepancies $-$ commonly attributed to dark matter $-$ arise instead from a non-standard velocity-dependent force that causes two-body near-Keplerian orbits to expand. We show that the predicted expansion of the Earth-Moon orbit is incompatible with lunar laser ranging data at $>200σ$. Moreover, SID predicts that the gravitating mass of any object was much smaller in the past. If true, a low-mass red giant star must be significantly older than in standard theory. This would make it much older than the conventional age of the Universe, which however is expected to be similarly old in SID. Moreover, it is not completely clear whether SID truly contains new physics beyond General Relativity, with several previous works arguing that the extra degree of freedom is purely mathematical. We conclude that the SID model is falsified at high significance by observations across a range of scales, even if it is theoretically well formulated.
