论文标题
材料介质中的八个平衡和连续性方程
Eight Equilibrium and continuity equations within the material media
论文作者
论文摘要
该论文旨在应用八氧化元来探索电磁和重力场中的扭矩和力，从而研究材料培养基对平衡和连续性方程的影响。当代学者利用四元和八元来研究电磁场和引力场等。在论文中，八元量能够调查材料介质内的电磁和重力场，包括八元场强度，田间源，角动量，扭矩和力。此外，可以将八元场强度和角动量组合在一起，成为八元复合磁场强度，从而推断出八元复合扭矩和力等。当八元复合力在某些情况下等于零时，它可以实现八个方程式相互独立的方程，包括力平衡方程，流体连续性方程和电流连续性方程等。以上表明材料介质和八元场强度可以为八个平衡和连续性方程做出贡献。加深对材料介质内平衡和连续性方程的理解是有益的。
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.
