五维空间中电子的流体结构尝试

本文从电磁势的规范变换出发引入第五维空间和一个新场量。这个新场量在电子内部起重要作用:在电磁方程中它表现为电容率和磁导率,在短程线式的运动方程中它的梯度产生邦卡勒力。这提供在五维空间中用一束世界线组成一个有限尺寸的电子的可能性;就此流体结构本文尝试用经典力学处理。找到流体方程的稳定解,给出电子内部的电动力学,知道没有球对称解。进一步假设电子内部物质运动的短程线都是零间隔的短程线,则电子内部的新场量可以唯一决定,这样便可求轴对称解。具体计算牵涉到求解联立的非线性偏微分方程组,对此将另文报道。关键词：

AN ATTEMPT AT A FLUID STRUCTURE OF THE ELECTRON IN SPACE WITH FIVE DIMENSIONS

The four-dimensional space-time of special relativity is augmented with a fifth dimension to take into account the gauge transformation of the electromagnetic potentials. And in doing this, a new field is introduced purely from dimensional consideration. It will be shown in this paper that this field plays an especially important role inside the electron. It gives rise naturally to the Poincare stress needed for maintaining dynamical equilibrium within an extensive electron, it also reflects the dielectric constant and permeability of the medium within. It thus appears feasible to adopt a fluid structure for the extensive electron, and stable solution for the motion of the fluid particiea has been obtained in general. The electrodynamics within the electron has also been obtained, and no physical solution with spherical symmetry exists. Axially symmetrical solution probably exists, which will be discussed in a subsequent paper.