论文标题
没有暗物质
Newtonian Fractional-Dimension Gravity and Galaxies without Dark Matter
论文作者
论文摘要
我们将牛顿分数二量重力（NFDG）（一种替代引力模型）应用于一些鲜明或没有暗物质的星系中的一些值得注意的病例。对于超湿的星系AGC 114905，我们表明NFDG方法可以通过使用可变的分数尺寸$ d \ left（r \ r \ right）$有效地重现观察到的旋转曲线。对于AGC 114905，我们在$ d \约2.2 -3.2 $的范围内获得一个可变尺寸，但是我们的固定$ d = 3 $曲线仍然可以适合其错误栏中的所有实验数据。这证实了其他研究表明，几乎仅通过重型质量分布就可以完全描述该星系的动力学。但是，我们的NFDG模型在不使用任何暗物质组件的情况下解释了残差差异。 In the case of NGC 1052-DF2, we use an argument based on the NFDG extension of the virial theorem applied to the velocity dispersion of globular clusters showing that, in general, discrepancies between observed and predicted velocity dispersions can be attributed to an overall fractal dimension $D <3$ of the astrophysical structure considered and not to the presence of dark matter.对于NGC 1052-DF2，我们估计$ d \约2.9 $，因此证实了该星系几乎遵循标准的牛顿行为。我们还考虑了子弹簇合并（1E0657-56）的情况，该情况被认为是存在暗物质存在的最强证明之一。碰撞的简化但有效的NFDG模型表明，该合并的观察到的插入速度可以通过系统在$ d \ simeq 2.4 -2.5 $范围内的分数维度来解释，而无需使用任何暗物质。
We apply Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model, to some notable cases of galaxies with little or no dark matter. In the case of the ultra-diffuse galaxy AGC 114905, we show that NFDG methods can effectively reproduce the observed rotation curve, by using a variable fractional dimension $D\left (R\right )$ as was done for other galaxies in previous studies. For AGC 114905, we obtain a variable dimension in the range $D \approx 2.2 -3.2$, but our fixed $D =3$ curve can still fit all the experimental data within their error bars. This confirms other studies indicating that the dynamics of this galaxy can be described almost entirely by the baryonic mass distribution alone. However, our NFDG model explains the residual discrepancies without using any dark matter component. In the case of NGC 1052-DF2, we use an argument based on the NFDG extension of the virial theorem applied to the velocity dispersion of globular clusters showing that, in general, discrepancies between observed and predicted velocity dispersions can be attributed to an overall fractal dimension $D <3$ of the astrophysical structure considered and not to the presence of dark matter. For NGC 1052-DF2 we estimate $D \approx 2.9$, thus confirming that this galaxy almost follows standard Newtonian behavior. We also consider the case of the Bullet Cluster merger (1E0657-56), assumed to be one of the strongest proofs of dark matter existence. A simplified but effective NFDG model of the collision shows that the observed infall velocity of this merger can be explained by a fractional dimension of the system in the range $D \simeq 2.4 -2.5$, again without using any dark matter.
