材料介质内的八个平衡和continuity equations
Eight Equilibrium and continuity equations within the material media
摘要：
本文旨在应用八元数来研究电磁场和引力场中的力矩和力等，考察物质介质对平衡方程和连续性方程的影响。当代学者利用四元数和八元数研究电磁场、引力场等。本文中，八元数能够测量物质介质中的电磁场和引力场，包括八元数场强、场源、角动量、力矩和力。进一步地，八元数场强和角动量可以组合在一起成为八元数合成场强，从而推导出八元数合成扭矩和力等。当八元复合力在一定条件下为零时，可以得到八个相互独立的方程，包括力的平衡方程、流体的连续性方程、电流的连续性方程等，说明物质介质和八元场强度对这八个平衡方程和连续性方程都有贡献。有助于加深对物质介质中的平衡方程和连续性方程的理解。
英文摘要：
The paper aims to apply the octonions to explore the torques and forces and so forth in the electromagnetic and gravitational fields, investigating the influences of material media on the equilibrium and continuity equations. The contemporary scholars utilize the quaternions and octonions to research the electromagnetic fields and gravitational fields and so forth. In the paper, the octonions are capable of surveying the electromagnetic and gravitational fields within material media, including the octonion field strength, field source, angular momentum, torque, and force. Further, the octonion field strength and angular momentum can be combined together to become the octonion composite field strength, deducing the octonion composite torque and force and others. When the octonion composite force is equal to zero under certain circumstances, it is able to achieve eight equations independent of each other, including the force equilibrium equation, fluid continuity equation, and current continuity equation and so on. The above reveals that the material media and octonion field strength can make a contribution to the eight equilibrium and continuity equations. And it is beneficial to deepen the understanding of equilibrium and continuity equations within material media.
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。
