论文标题
星系，MOND，暗物质和矮球的比例不变动力学
Scale-Invariant Dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals
论文作者
论文摘要
比例不变的真空（SIV）理论基于Weyl的可整合几何形状，并具有量规标量场。 MOND和SIV理论之间的主要区别在于，第一个考虑了空间和时间的全局扩张不变性，其中比例因子$λ$是一个常数，而第二个则打开了$λ$是时间函数的可能性。这里使用SIV框架的关键方程式来研究牛顿重力加速$ g _ {\ mathrm {bar}} $与观察到的运动加速度$ g _ {\ mathrm {obsrm {obs}} $之间的关系。该关系适用于相同年龄的银河系系统，在$ g _ {\ mathrm {obs}} $和$ g _ {\ mathrm {bar}} $加速度之间的径向加速关系（RAR）之间，可以与观察数据进行比较。 SIV理论与观察结果表现出了极好的一致性，并且与Mond for Baryonic重力$ g _ {\ Mathrm {bar}}}> 10^{ - 11.5} $ M S $^{ - 2} $。在此值以下，SIV仍然完全与观测值以及矮球的RAR的水平渐近线一致，而Mond并非如此。这些结果支持这样的观点，即无需暗物质，并且可以通过重力修改来解释星系的RAR和相关动力学特性。
The Scale-Invariant Vacuum (SIV) theory is based on Weyl's Integrable Geometry, endowed with a gauge scalar field. The main difference between MOND and the SIV theory is that the first considers a global dilatation invariance of space and time, where the scale factor $λ$ is a constant, while the second opens the likely possibility that $λ$ is a function of time. The key equations of the SIV framework are used here to study the relationship between the Newtonian gravitational acceleration due to baryonic matter $g_{\mathrm{bar}}$ and the observed kinematical acceleration $g_{\mathrm{obs}}$. The relationship is applied to galactic systems of the same age where the Radial Acceleration Relation (RAR), between the $g_{\mathrm{obs}}$ and $g_{\mathrm{bar}}$ accelerations, can be compared with observational data. The SIV theory shows an excellent agreement with observations and with MOND for baryonic gravities $g_{\mathrm{bar}}>10^{-11.5}$ m s$^{-2}$. Below this value, SIV still fully agrees with the observations, as well as with the horizontal asymptote of the RAR for dwarf spheroidals, while this is not the case for MOND. These results support the view that there is no need for dark matter and that the RAR and related dynamical properties of galaxies can be interpreted by a modification of gravitation.
