四维欧氏空间中的麦克斯韦方程组
Maxwell's equations in 4-dimensional Euclidean space
摘要:
本文通过将电磁矢势嵌入到坐标系矢量$g_0$中,建立了四维欧氏空间中的麦克斯韦方程组。相对论电动力学是第一个解决的问题;尽管使用的几何形状与狭义相对论完全不同,本文从空间曲率导出相对论电动力学。麦克斯韦方程组,然后制定和解决自由空间提供的解决方案,旋转的矢量势在一个平面上,这些解决方案是等价于通常的时空制定,然后讨论的超球模型的宇宙最近提出的作者。
英文摘要:
The paper formulates Maxwell's equations in 4-dimensional Euclidean space by embedding the electromagnetic vector potential in the frame vector $g_0$. Relativistic electrodynamics is the first problem tackled; in spite of using a geometry radically different from that of special relativity, the paper derives relativistic electrodynamics from space curvature. Maxwell's equations are then formulated and solved for free space providing solutions which rotate the vector potential on a plane; these solutions are shown equivalent to the usual spacetime formulation and are then discussed in terms of the hypersphere model of the Universe recently proposed by the author.
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