论文标题
牛顿分数 - 二量重力和旋转支持的星系
Newtonian Fractional-Dimension Gravity and Rotationally Supported Galaxies
论文作者
论文摘要
我们继续分析牛顿分数利用重力，这是牛顿重力的标准定律向较低维空间的扩展，包括分数（即非构成）维度的空间。我们将模型应用于三个旋转支持的星系：NGC 7814（隆起为主导的螺旋），NGC 6503（以磁盘为主的螺旋）和NGC 3741（气体为主导的矮人）。 正如在先前对该受试者的工作中所研究的一般球形对称和轴对称结构的一般情况下所做的那样，我们研究了我们的模型与修改后的牛顿动力学之间的可能联系，这是一个领先的替代重力模型，该模型解释了这些星系的观察到的特性，而无需进行暗物质假设。 在我们的模型中，mond加速度常数$ a_ {0} \ simeq 1.2 \ times 10^{ - 10} \ mbox {m} \ thinspace \ thinspace \ mbox \ mbox {s}^{-2} $可以与自然尺度长度$ l_ {0} $ a _ _ _ _ _ = 0} 0} 0} 0} {0} 0} {0} 0} 0}用于质量$ m $的星系。同样，可以用可变的本地尺寸$ d $来解释经验径向加速关系，将观察到的径向加速度$ g_ {obs} $连接到Baryonic One $ G_ {BAR} $。作为这种方法的一个例子，我们为上述三个星系提供了详细的旋转曲线。
We continue our analysis of Newtonian Fractional-Dimension Gravity, an extension of the standard laws of Newtonian gravity to lower dimensional spaces including those with fractional (i.e., non-integer) dimension. We apply our model to three rotationally supported galaxies: NGC 7814 (Bulge-Dominated Spiral), NGC 6503 (Disk-Dominated Spiral), and NGC 3741 (Gas-Dominated Dwarf). As was done in the general cases of spherically-symmetric and axially-symmetric structures, which were 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 explains the observed properties of these galaxies without requiring the Dark Matter hypothesis. In our model, the MOND acceleration constant $a_{0} \simeq 1.2 \times 10^{-10}\mbox{m}\thinspace \mbox{s}^{ -2}$ can be related to a natural scale length $l_{0}$, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$. Also, the empirical Radial Acceleration Relation, connecting the observed radial acceleration $g_{obs}$ with the baryonic one $g_{bar}$, can be explained in terms of a variable local dimension $D$. As an example of this methodology, we provide detailed rotation curve fits for the three galaxies mentioned above.
