论文标题
牛顿分数二量重力和磁盘星系
Newtonian Fractional-Dimension Gravity and Disk Galaxies
论文作者
论文摘要
本文基于应用于牛顿的重力定律的分数空间理论，继续对重力的新型替代模型进行了以前的工作。特别是，我们的牛顿分数极点重力现在应用于轴对称结构，例如由指数，库兹敏（Kuzmin）或其他类似的质量分布描述的薄/厚盘星系。 就像在先前有关该受试者的工作中研究的球形对称结构一样，我们研究了模型与修改后的牛顿动力学之间的可能联系，牛顿动力学是一种领先的替代重力模型，该模型是星系和其他天体物理结构的观察到的特性，而无需暗件假设。 通过关联Mond加速度常数$ a_ {0} \ simeq 1.2 \ times 10^{-10} \ mbox {m} \ thinspace \ thinspace \ mbox {s}^{-2} $质量$ m $的银河系，并通过使用经验径向加速关系，我们能够解释观察到的径向加速度$ g_ {obs} $与可变局部dimension $ d $ d $表示的radial radial加速度$ g_ {obs} $。作为此方法的一个例子，我们为场矮星螺旋ngc 6503提供了详细的旋转曲线拟合。
This paper continues previous work on a novel alternative model of gravity, based on the theory of fractional-dimension spaces applied to Newton's law of gravitation. In particular, our Newtonian Fractional-Dimension Gravity is now applied to axially-symmetric structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions. As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between our model and Modified Newtonian Dynamics, a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter hypothesis. By relating the MOND acceleration constant $a_{0} \simeq 1.2 \times 10^{ -10}\mbox{m}\thinspace \mbox{s}^{ -2}$ to a natural scale length $l_{0}$ of our model, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$, and by using the empirical Radial Acceleration Relation, we are able to explain the connection between the observed radial acceleration $g_{obs}$ and the baryonic radial acceleration $g_{bar}$ in terms of a variable local dimension $D$. As an example of this methodology, we provide a detailed rotation curve fitting for the case of the field dwarf spiral galaxy NGC 6503.
