论文标题
牛顿分数量度重力和外场效应
Newtonian Fractional-Dimension Gravity and the External Field Effect
论文作者
论文摘要
我们将对牛顿分数利用力重力（NFDG）的分析扩展，这是牛顿重力的经典定律扩展到较低维空间的分析，包括那些具有分数（即非直觉）维度的空间。我们将模型应用于四个旋转支持的星系（NGC 5033，NGC 6674，NGC 5055，NGC 1090），除其他三个星系（NGC 7814，NGC 6503，NGC 3741）外，这些模型在先前的研究中进行了分析。 NFDG能够拟合所有这些星系的旋转曲线，而无需任何暗物质组件。 我们还研究了可能违反强度对等原理的行为，与外部田间效应（EFE）有关，即自由落体在外部重力场上的自我抛光系统的内部运动的依赖性。这种效果在牛顿或爱因斯坦重力中不存在，但通过一些替代性重力理论预测。相反，我们表明NFDG并不意味着EFE，至少对于$ 1 \ leq d \ leq 3 $的分数维度值。 使用改进的NFDG数值计算，我们分析了上述星系的旋转曲线，并通过使用分数差异函数$ d \ left（r \右）$获得了实验数据的完美拟合，从而表征了每个单个星系。在这里使用NFDG方法研究的银河样本中，我们没有检测到根据其他替代理论显示的星系之间应显示/不显示EFE的星系之间的任何显着差异。需要更大的星系样本，以充分确定NFDG中没有任何外部田间效应。
We expand our analysis of Newtonian Fractional-Dimension Gravity (NFDG), an extension of the classical laws of Newtonian gravity to lower dimensional spaces, including those with fractional (i.e., non-integer) dimension. We apply our model to four rotationally supported galaxies (NGC 5033, NGC 6674, NGC 5055, NGC 1090), in addition to other three galaxies (NGC 7814, NGC 6503, NGC 3741) which were analyzed in previous studies. NFDG is able to fit the rotation curves of all these galaxies without any dark matter component. We also investigate the possible violation of the strong equivalence principle, in relation to the External Field Effect (EFE), i.e., the dependence of the internal motion of a self-gravitating system under freefall on an external gravitational field. This effect is not present in Newtonian or Einstein gravity, but is predicted by some alternative theories of gravity. On the contrary, we show that NFDG does not imply the EFE, at least for values of the fractional dimension in the range $1 \leq D \leq 3$. Using improved NFDG numerical computations, we analyze the rotation curves of the aforementioned galaxies and obtain perfect fits to the experimental data, by using a fractional-dimension function $D\left (R\right )$ which characterizes each individual galaxy. In the galactic sample studied here with NFDG methods, we do not detect any significant differences between galaxies that are supposed to show/not show the EFE according to other alternative theories. A larger sample of galaxies will be needed to fully determine the absence of any external field effect in NFDG.
