复四元数空间中的场方程
Field Equations in the Complex Quaternion Spaces
摘要：
采用复四元数和复八元数建立电磁场和引力场的场方程。八元数表示的应用使得一个单一的定义能够将两个领域的一些物理内容结合起来，这两个领域在过去被认为是相互独立的。J. C.麦克斯韦同时应用矢量术语和四元数分析来描述电磁理论。这种方法启发了本文在场论中引入四元数和八元数空间，以描述电磁场和引力场的物理特征，而它们的坐标可以是复数。八元数空间可分为四元数空间和S-四元数空间。在四元数空间中，可以推导出引力场的场势、场强、场源、场方程等。在S-四元数空间中，可以推导出电磁场中的场势、场强、场源等。结果表明，四元数空间适合于描述引力场特征，而S-四元数空间适合于描述电磁场特征。
英文摘要：
The paper aims to adopt the complex quaternion and octonion to formulate the field equations for electromagnetic and gravitational fields. Applying the octonionic representation enables one single definition to combine some physics contents of two fields, which were considered to be independent of each other in the past. J. C. Maxwell applied simultaneously the vector terminology and the quaternion analysis to depict the electromagnetic theory. This method edified the paper to introduce the quaternion and octonion spaces into the field theory, in order to describe the physical feature of electromagnetic and gravitational fields, while their coordinates are able to be the complex number. The octonion space can be separated into two subspaces, the quaternion space and the S-quaternion space. In the quaternion space, it is able to infer the field potential, field strength, field source, field equations, and so forth, in the gravitational field. In the S-quaternion space, it is able to deduce the field potential, field strength, field source, and so forth, in the electromagnetic field. The results reveal that the quaternion space is appropriate to describe the gravitational features; meanwhile the S-quaternion space is proper to depict the electromagnetic features.
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。
