超强磁场中两种能量梯度的对比分析
Contrastive analysis of two energy gradients in the ultra-strong magnetic fields
摘要：
本文旨在利用复八元数研究在超强磁场中多粒子的引力质量和能量梯度的变化。J. C.麦克斯韦是第一个引入四元数代数来研究电磁场的物理性质的人。有些学者在场论中也采用了这种方法。目前，他们采用复八元数同时分析电磁场和引力场的物理量，包括场势、场强、场源、线动量、角动量、转矩和力。当八元数力为零时，可以推导出八个独立的平衡方程，特别是力平衡方程、旋进平衡方程、质量连续性方程和电流连续性方程。在力平衡方程中，引力质量是可变的。引力质量是惯性质量和一些微小项的总和。这些微小项不仅随场强和势能的涨落而变化，而且随速度的空间维数而变化。研究表明，在超强磁场中，直接测量这些微小的引力质量项的变化是比较困难的。然而，测量与这些引力质量的微小项的变化有关的能量梯度并不困难。在复八元数空间中，引力质量是一种可变的物理量，而不是任何物体的固有性质。这一推论与统一电弱理论中“质量不再是内禀性质”的学术思想是一致的。
英文摘要：
The paper aims to apply the complex-octonions to explore the variable gravitational mass and energy gradient of several particles in the external ultra-strong magnetic fields. J. C. Maxwell was the first to introduce the algebra of quaternions to study the physical properties of electromagnetic fields. Some scholars follow up this method in the field theories. Nowadays, they employ the complex-octonions to analyze simultaneously the physical quantities of electromagnetic and gravitational fields, including the field potential, field strength, field source, linear momentum, angular momentum, torque, and force. When the octonion force is equal to zero, it is able to deduce eight independent equilibrium equations, especially the force equilibrium equation, precession equilibrium equation, mass continuity equation, and current continuity equation. In the force equilibrium equation, the gravitational mass is variable. The gravitational mass is the sum of the inertial mass and a few tiny terms. These tiny terms will be varied with not only the fluctuation of field strength and of potential energy, but also the spatial dimension of velocity. The study reveals that it is comparatively untoward to attempt to measure directly the variation of these tiny terms of gravitational mass in the ultra-strong magnetic field. However it is not such difficult to measure the energy gradient relevant to the variation of these tiny terms of gravitational mass. In the complex-octonion space, the gravitational mass is a sort of variable physical quantity, rather than an intrinsic property of any physical object. And this inference is accordant with the academic thought of `the mass is not an intrinsic property any more' in the unified electro-weak theory.
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。
