This note reports flat galactic rotation curves coinciding with observation and originating in Laplace’s classical field equation. Dark matter, identified with a primordial fluid populating the entire universe, is represented by the homogeneous Klein–Gordon equation (KGE). The key element is the novel solution for the KGE discovered by the leading author in 1994, expressed as a permanent background ##IMG## [http://ej.iop.org/images/2515-5172/4/9/151/rnaasabb609ieqn1.gif] {${ \mathcal B }$} -potential plus an entangled ##IMG## [http://ej.iop.org/images/2515-5172/4/9/151/rnaasabb609ieqn2.gif] {${ \mathcal E }$} -potential where time and distance appear as a ratio. The ##IMG## [http://ej.iop.org/images/2515-5172/4/9/151/rnaasabb609ieqn3.gif] {${ \mathcal B }$} -potential may be viewed as solution to a non-homogeneous Laplace equation, for which the general solution contains in addition to Newton’s 1/ r potential a...

中文翻译：

---

来自第一原理的平坦银河旋转曲线：源自拉普拉斯方程式的新对数势

本说明报告了与观测相吻合且源自拉普拉斯经典场方程的平坦银河旋转曲线。暗物质由遍布整个宇宙的原始流体确定，用齐次Klein-Gordon方程（KGE）表示。关键要素是主要作者在1994年发现的KGE的新颖解决方案，表示为永久背景## IMG ## [http://ej.iop.org/images/2515-5172/4/9/151 /rnaasabb609ieqn1.gif] {$ {\ mathcal B} $}-电势加上一个纠缠的## IMG ## [http://ej.iop.org/images/2515-5172/4/9/151/rnaasabb609ieqn2.gif ] {$ {\ mathcal E} $}-电势，时间和距离按比例显示。## IMG ## [http://ej.iop.org/images/2515-5172/4/9/151/rnaasabb609ieqn3.gif] {$ {\ mathcal B} $}-势可能被视为解决方案一个非齐次的拉普拉斯方程，