论文标题
复合物八元空间中的进型角速度和野外强度
Precessional angular velocity and field strength in the complex octonion space
论文作者
论文摘要
该论文旨在应用八粒子来探索电磁和重力场中几个颗粒的前态角速度。一些学者利用八元来研究电磁和重力场。一个公式可以源自八氧化扭矩，计算由陀螺扭矩产生的进型角速度。当八元力等于零时，它能够推断力平衡方程和进动平衡方程等。从力平衡方程式，可以推断粒子革命的角速度。同时，从进动平衡方程式中，它能够确定由扭矩导数引起的液压速度，包括Larmor进动的角速度。特别是，某些扭矩衍生物的成分与现场强度成比例。该研究表明，扭矩衍生物诱导的前进角速度与扭矩产生的角速度无关。由扭矩衍生物诱导的前液角速度与扭矩衍生物和进型速度的空间维度有关。进一步理解旋转角动量的进型角速度将是很大的好处。
The paper aims to apply the octonions to explore the precessional angular velocities of several particles in the electromagnetic and gravitational fields. Some scholars utilize the octonions to research the electromagnetic and gravitational fields. One formula can be derived from the octonion torque, calculating the precessional angular velocity generated by the gyroscopic torque. When the octonion force is equal to zero, it is able to deduce the force equilibrium equation and precession equilibrium equation and so forth. From the force equilibrium equation, one can infer the angular velocity of revolution for the particles. Meanwhile, from the precession equilibrium equation, it is capable of ascertaining the precessional angular velocity induced by the torque derivative, including the angular velocity of Larmor precession. Especially, some ingredients of torque derivative are in direct proportion to the field strengths. The study reveals that the precessional angular velocity induced by the torque derivative is independent of that generated by the torque. The precessional angular velocity, induced by the torque derivative, is relevant to the torque derivative and the spatial dimension of precessional velocity. It will be of great benefit to understanding further the precessional angular velocity of the spin angular momentum.
