论文标题
Lorentz对称组,延迟,半半生体质量耗竭和导致银河旋转曲线的机制
Lorentz Symmetry Group, Retardation, Intergalactic Mass Depletion and Mechanisms Leading to Galactic Rotation Curves
论文作者
论文摘要
相对论(GR)的一般理论在平滑坐标转换下是对称的,也称为差异性。一般坐标转换组的线性亚组表示为洛伦兹对称性的洛伦兹组,该组也保持在弱场近似与GR的近似中。因此,GR的弱场方程中的主要操作员是d'Alembert(Wave)算子,该操作员具有延迟的潜在解决方案。星系是巨大的物理系统,尺寸为数万光年。因此,仅在数万年后的边缘,银河中心的任何变化都会在缘上得到注意。在当今的银河系建模中忽略了这些延迟效应,用于计算银河系和周围气体边缘中物质的旋转速度。通常通过假设暗物质或修改重力定律(MOND)来解释牛顿瞬时作用的预测与观察到的速度之间的显着差异。在本文中,我们将表明,通过认真对待一般相对论而不忽略迟钝效应,人们可以解释M33星系中银河物质的径向速度,而不会假设暗物质。
The general theory of relativity (GR) is symmetric under smooth coordinate transformations, also known as diffeomorphisms. The general coordinate transformation group has a linear subgroup denoted as the Lorentz group of symmetry, which is also maintained in the weak field approximation to GR. The dominant operator in the weak field equation of GR is thus the d'Alembert (wave) operator, which has a retarded potential solution. Galaxies are huge physical systems with dimensions of many tens of thousands of light years. Thus, any change at the galactic center will be noticed at the rim only tens of thousands of years later. Those retardation effects are neglected in the present day galactic modelling used to calculate rotational velocities of matter in the rims of the galaxy and surrounding gas. The significant differences between the predictions of Newtonian instantaneous action at a distance and observed velocities are usually explained by either assuming dark matter or by modifying the laws of gravity (MOND). In this paper, we will show that, by taking general relativity seriously without neglecting retardation effects, one can explain the radial velocities of galactic matter in the M33 galaxy without postulating dark matter.