发表机构
Loyola Marymount University（洛约拉马利蒙特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用Gaia DR3数据和旋转曲线，通过分维引力模型（FDG）成功再现银河系旋转曲线，无需暗物质，并探讨了分维时空中的超光速运动可能性。
AI 中文摘要
在这项工作中，我们利用最新的Gaia DR3数据以及该星系先前的旋转曲线（RC）数据，将分维引力（FDG）分析聚焦于我们的家园星系——银河系（MW）。FDG是一种替代引力模型（以前称为牛顿分维引力 - NFDG），不需要暗物质（DM）范式。本文使用FDG方法研究银河系，并遵循先前使用相同方法论分析的其他几个星系的研究，通过使用可变分维$D\left(R\right)$成功再现了观测到的旋转曲线。另一种基于质量-维度场方程的维度函数$D_{m}\left(R \right)$也被使用，但对实验数据的拟合精度较低。此外，我们还考虑了基于额外权重的FDG度规对具有分维的时空狭义相对论（SR）结构的可能影响。这项分析的一个显著结果是，在空间维度$D<3$的星系区域可能存在有效的超光速运动。尽管这一结果非常推测性，但它为银河系内可能的星际旅行开辟了有趣的新视角。
英文摘要
In this work, we focus our analysis of Fractional-Dimension Gravity (FDG) on our home galaxy, the Milky Way (MW), by using the latest Gaia DR3 data as well as previous rotation curve (RC) data for this galaxy. FDG is an alternative gravitational model (previously known as Newtonian Fractional-Dimension Gravity - NFDG) which does not require the dark matter (DM) paradigm. The MW is studied here with the methods of FDG and its observed rotation curves are successfully reproduced by using a variable fractional dimension $D\left (R\right)$, following previous studies of several other galaxies which were analyzed with the same methodology. An alternative dimension function $D_{m}\left(R \right)$, based on the mass-dimension field equation, was also used and yielded less accurate fits to the experimental data. In addition, we also considered possible implications of the FDG metric, based on the presence of additional weights, on the structure of Special Relativity (SR) for spacetimes with fractional dimension. One notable, but very speculative outcome of this analysis is the possibility of an effective superluminal motion in galactic regions where the space dimension is $D<3$.
Comments20 pages, including 6 figures. Eight paper on Fractional-Dimension Gravity. Minor changes, paragraphs and references added. Accepted for publication in International Journal of Modern Physics D, World Scientific
