宇宙中有多少东西可以用几何学来解释？
How much in the Universe can be explained by geometry?
摘要：
本文使用几何参数推导出与宇宙学相关的方程;假设5维时空是因为它在其他作品中已经被证明为不同物理领域的重要统一提供了一个设置。单演函数，零矢量导数示出有效地模拟电动力学和相对论动力学，如果一个允许空间曲率。将单演函数应用于平坦空间，哈勃关系可以作为纯粹的几何效应直接导出。考虑到质量密度引起的空间曲率，可以推导出平坦的星系自转曲线，而不需要考虑暗物质。类似地，宇宙中较小的整体质量密度被证明可以为最近的超新星观测提供一个可能的解释，而不需要宇宙学常数。
英文摘要：
The paper uses geometrical arguments to derive equations with relevance for cosmology; 5-dimensional spacetime is assumed because it has been shown in other works to provide a setting for significant unification of different areas of physics. Monogenic functions, which zero the vector derivative are shown to effectively model electrodynamics and relativistic dynamics if one allows for space curvature. Applying monogenic functions to flat space, the Hubble relation can be derived straightforwardly as a purely geometrical effect. Consideration of space curvature induced by mass density allows the derivation of flat rotation curves for galaxies without appealing for dark matter. Similarly, a small overall mass density in the Universe is shown to provide a possible explanation for recent supernovae observations, without the need for a cosmological constant.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
