标题： 在非交换几何背景下的银河旋转曲线的再探讨 显示英文标题

标题： Revisiting galactic rotation curves given a noncommutative-geometry background

摘要： 拉赫曼等人 earlier 指出，非交换几何背景能够解释星系旋转曲线，而无需引入暗物质。非交换几何特有的模糊效应可以通过高斯分布来描述，该分布旨在取代狄拉克δ函数。 本文的目的有两个：（1）通过用诺扎里和梅迪普尔提出的更简单的柯西分布取代高斯函数，以一种更透明且直观上更具吸引力的方式解释星系旋转曲线；（2）证明这种模糊效应既是满足稳定性标准的必要条件，也是充分条件。 显示英文摘要

摘要： It was shown earlier by Rahaman et al. that a noncommutative-geometry background can account for galactic rotation curves without the need for dark matter. The smearing effect that characterizes noncommutative geometry is described by means of a Gaussian distribution intended to replace the Dirac delta function. The purpose of this paper is two-fold: (1) to account for the galactic rotation curves in a more transparent and intuitively more appealing way by replacing the Gaussian function by the simpler Lorentzian distribution proposed by Nozari and Mehdipour and (2) to show that the smearing effect is both a necessary and sufficient condition for meeting the stability criterion.